text stringlengths 1.4k 8.19k | meta dict |
|---|---|
terms in -6*a**3 - a**3 + 3*a**3 - 3*a**3.
-7*a**3
Collect the terms in -4 + 1 + 3 - 11*g**3.
-11*g**3
Collect the terms in -3*o + 210*o**2 + 3*o - 211*o**2.
-o**2
Collect the terms in -2*g + 3*g + 0*g + g - 112*g**3.
-112*g**3 + 2*g
Collect the terms in 386*s**2 - 386*s**2 + 3*s**3.
3*s**3
Collect the terms in -2*n + ... | {
"pile_set_name": "DM Mathematics"
} |
3*k**5 - 3*k**5.
5*k**5 + 6*k**2
Expand 2*s**5 + s**5 - 5*s**5 + (0*s**4 + s**4 + 2*s**4)*(-8 - s + 8) - 3*s**4 + 3*s**4 + s**5.
-4*s**5
Expand (-2*a**3 + 2*a**3 + a**3)*(-a**2 - 2 + 2) - 2*a**5 - 2*a**5 + a**5 + 0*a**3 + a**5 + 0*a**3.
-3*a**5
Expand (2*c**2 + 0*c + 0*c)*(-25 + 25 + 25*c**3).
50*c**5
Expand (79*l**4 +... | {
"pile_set_name": "DM Mathematics"
} |
1001 - 995 + 1315*a**3 + 12*a to the form j*a + z + v*a**3 + k*a**2 and give z.
6
Express 1735 - 3470 - 3*w**3 + w + 93*w**2 + 1732 - 2*w in the form g*w + l + z*w**3 + t*w**2 and give l.
-3
Express -2 - 174*a**2 - 453*a - 2*a**4 + 343*a**2 + 132*a - 167*a**2 as r*a**2 + c*a**3 + d*a**4 + f*a + j and give c.
0
Express ... | {
"pile_set_name": "DM Mathematics"
} |
u**2 - 409*u + 6296. Determine g(38).
-582
Let p(k) = -4*k**2 - 633*k - 562. Calculate p(-157).
223
Let r(p) = -13*p**3 + 19*p**2 + 263*p - 1412. What is r(5)?
-1247
Let y(w) = -959*w**3 + 3*w**2 - 48*w - 50. Determine y(-1).
960
Let b(h) = h**3 - 23*h**2 + 29*h + 573. Give b(20).
-47
Let q(m) = -m**2 + 460*m - 22626. ... | {
"pile_set_name": "DM Mathematics"
} |
4*n - 9. Let r(a) = 7*a**3 - 1. Let q(c) = g(c) - 2*r(c). Let k(m) = -14*m**3 + m + 2. What is 7*k(w) + 2*q(w)?
-14*w**3 - w
Let b(n) = -54*n**2 - 7*n - 71. Let o(d) = 22*d**2 + 3*d + 35. Give 2*b(s) + 5*o(s).
2*s**2 + s + 33
Let u(b) = b**3 + b**2 + b. Suppose -51*c = -36 + 24 + 165. Let a(i) = 2*i**3 + 7*i**2 + 3*i ... | {
"pile_set_name": "DM Mathematics"
} |
/3 - 284*i/3.
i*(i + 2)*(3*i - 142)/3
Determine w, given that 2*w**2 + 160852*w + 3234170738 = 0.
-40213
Factor 4*f**3 - 11692*f**2 + 128080*f + 139776.
4*(f - 2912)*(f - 12)*(f + 1)
Solve -2*o**4/7 - 274*o**3/7 + 19314*o**2/7 + 4314330*o/7 + 163308744/7 = 0 for o.
-87, 124
Factor -n**5 + 328*n**4 - 1932*n**3.
-n**3*(n... | {
"pile_set_name": "DM Mathematics"
} |
p**4 + p**4 + 2*p**4)*(-11 - 6 + 95) in the form z*p + f*p**2 + o + n*p**3 + u*p**4 and give u.
390
Express 2*i**4 + 6 - 6 + (-13 + 8 + 9)*(-2*i**4 + 5*i**2 - 5*i**2) as v*i**3 + y*i + u*i**4 + b*i**2 + a and give u.
-6
Express 480 - 239 + 326*q**2 - 240 in the form u + g*q**2 + y*q and give u.
1
Express (28*b + 25*b ... | {
"pile_set_name": "DM Mathematics"
} |
5*c**3 + 2*c**3)*(-91*c + 173*c + 183*c).
-794*c**4
Expand (3*s - 5*s + 3*s)*(6 + 27 - 2) + (-14 - 3 - 1)*(2 + s - 2).
13*s
Expand -5*h - 4*h**2 + 0*h**2 - h**4 + 2*h + (7 - 1 + 2)*(-2 + h**4 + 2) - 5*h**4 + 2*h**4 + 2*h**4.
6*h**4 - 4*h**2 - 3*h
Expand (6 + 7 - 10)*(-2*d - 5 + 5)*(d**4 + 2*d**4 + 2*d**4).
-30*d**5
Exp... | {
"pile_set_name": "DM Mathematics"
} |
Let c(m) = -16*m**2 - 3*m + 16. Let i(j) = c(j) + 5*n(j). What is i(-6)?
-12
Let z(k) = 5*k - 4*k - k + k. Let a(q) = q**2 + 19*q + 33. Let d be a(-16). Let w be (-12)/(-2) - d/(-5) - 1. Determine z(w).
2
Let j(p) = p**3 - 17*p**2 - 3*p + 21. Suppose 0 = 5*s + 4*y - 109, -2*s - y + 37 + 3 = 0. Give j(s).
-30
Let r(y) b... | {
"pile_set_name": "DM Mathematics"
} |
w(-13).
-362
Let d(l) = -59*l - 24. Determine d(1).
-83
Let a(c) = -357*c - 5. Determine a(0).
-5
Let c(a) = -6*a**2 - 100*a - 286. Give c(-3).
-40
Let j(v) = -129*v + 4639. What is j(36)?
-5
Let c(k) = k**3 + 89*k**2 - 79*k + 998. What is c(-90)?
8
Let w(o) = -2*o**2 + 59*o - 38. Determine w(28).
46
Let m(d) = d**3 -... | {
"pile_set_name": "DM Mathematics"
} |
2
Expand (-40 - 27 - 5*n + 20)*(3*n - 2*n - 3*n + 2*n + 3*n - 4*n + (-3*n + 10*n - 3*n)*(-4 + 1 + 5))*(-2*n + 1 - 1).
70*n**3 + 658*n**2
Expand (-39*y**4 - 505*y**4 + 0*y + 0*y + 862*y**4 + 840*y**4)*(121*y - 57*y - 38*y).
30108*y**5
Expand (-12*g**4 + 7*g**4 + 6*g**4)*(2 + g - 2)*((-5 + 5 - 2)*(-3 - 1 + 5) - 1 - 10 + ... | {
"pile_set_name": "DM Mathematics"
} |
-1081*k**3*l**6 + 2*k**3*l**4 + 45*k**3*l**2 - 85*k**2*l**2 wrt l.
-129720*k**3*l**3 + 48*k**3*l
What is the second derivative of 3*k**3*q**3 + 43*k**3*q**2 + 2*k**3*q + 2*k**3 - k*q**3 - 164*k*q wrt q?
18*k**3*q + 86*k**3 - 6*k*q
Differentiate 1871*f - 497 with respect to f.
1871
Differentiate -34*d*g**2*u**3 - d*g**2... | {
"pile_set_name": "DM Mathematics"
} |
52*s(t).
-13*t**2
Let z(o) = -2*o**2 + 3*o - 3. Let p be 4/(-10) - (-46)/(-10). Let c = p - -6. Let b(d) = d - 1. Determine c*z(r) - 3*b(r).
-2*r**2
Let p(r) = -r**2 + r - 1. Let n(j) = 1. Let z be (4/(-6))/((-2)/(-12)). Let v = z - -5. Give v*n(f) - p(f).
f**2 - f + 2
Let g(d) = -12*d**2 - 11*d - 11. Let f(k) = k**2 ... | {
"pile_set_name": "DM Mathematics"
} |
44*y**2 - 471644*y - 85752.
-4*(y + 10719)*(11*y + 2)
Let -3*a**2 - 39*a + 6084 = 0. Calculate a.
-52, 39
Factor -m**3/3 + 806362*m**2/3 - 162554918761*m/3.
-m*(m - 403181)**2/3
Determine k so that 214*k**2 - 882*k + 720 = 0.
120/107, 3
Suppose -2*y**2/5 - 548676*y/5 - 37630669122/5 = 0. What is y?
-137169
Factor 3*d**... | {
"pile_set_name": "DM Mathematics"
} |
53) + 1 + -2)**2*-5.
-5270 + 90*sqrt(13)
Simplify (-2*sqrt(80) - sqrt(5))**2*3.
1215
Simplify -5*(sqrt(19) - sqrt(931)*2)*-6.
-390*sqrt(19)
Simplify (sqrt(1344) + -2*sqrt(1344) - sqrt(21))/sqrt(3).
-9*sqrt(7)
Simplify (4 + (sqrt(28)/sqrt(4))**2)*2.
22
Simplify -6*(-4 + (1*sqrt(52))/sqrt(4)).
-6*sqrt(13) + 24
Simplify (... | {
"pile_set_name": "DM Mathematics"
} |
Factor -o**3/7 + 80*o**2/7 - 204*o - 1008.
-(o - 42)**2*(o + 4)/7
Suppose -k**4 - k**3 + 27*k**2 - 27*k - 54 = 0. What is k?
-6, -1, 3
Suppose 4*n**3/7 - 4*n**2 - 72*n/7 = 0. What is n?
-2, 0, 9
Factor v**5 + 393*v**4 + 39198*v**3 + 115246*v**2 + 114465*v + 38025.
(v + 1)**3*(v + 195)**2
What is d in 3*d**5 + 30*d**4 ... | {
"pile_set_name": "DM Mathematics"
} |
5 as j + f*b and give f.
2
Express -12*n**3 + n + 4*n**3 + 6*n**3 + (n + 0*n + 0*n)*(-11*n**2 - 41*n**2 - 187*n**2) as p + q*n**3 + a*n + x*n**2 and give q.
-241
Rearrange 42591*x**2 - 42662*x**2 + 18 - 120*x**3 - 18 to the form b + u*x**3 + z*x**2 + p*x and give u.
-120
Express 100782*p + 100283*p - 220292*p in the fo... | {
"pile_set_name": "DM Mathematics"
} |
**3/33 - 48*v**2/11 + 6*v - 42. Suppose a(c) = 0. Calculate c.
-6, 8
Let d be ((-20350)/34188)/(10/(-24)). Factor 2/7*i + 8/7 - d*i**2.
-2*(i - 1)*(5*i + 4)/7
Let k = -7369/2 - -3686. Factor 1/2 - 3/2*t + k*t**2 - 1/2*t**3.
-(t - 1)**3/2
Suppose -4*d + 29 = 2*v + v, 0 = 2*v + 4*d - 26. Suppose 15 = 3*g - v. Factor 3*y*... | {
"pile_set_name": "DM Mathematics"
} |
2 + 4*h**w - 4*h**3 wrt h?
18
Suppose -8 - 8 = -2*l. What is the derivative of l - 3 - 4*w**2 - 3*w**2 wrt w?
-14*w
Let b(i) be the first derivative of -4*i**6/3 - i**2/2 + 2. What is the second derivative of b(u) wrt u?
-160*u**3
Let s(j) be the second derivative of j**10/7560 - j**7/840 - j**4/12 + 3*j. Let l(k) be t... | {
"pile_set_name": "DM Mathematics"
} |
Let m(g) = -g**3 + g**2 + g + 6. Let n(c) = z*h(c) + 3*m(c). Give n(0).
8
Suppose 0 = 5*r + 16 - 6. Let m = -84 - -87. Let q(u) = -8*u**2 - 4*u - 3. Let i(o) = -9*o**2 - 5*o - 5. Let h(b) = m*q(b) - 2*i(b). Give h(r).
-19
Let v = 9831 - 9831. Let k(p) = 2*p**3 - p**2 - 3*p - 5. What is k(v)?
-5
Let p be (0 - (-18)/27)... | {
"pile_set_name": "DM Mathematics"
} |
*g**3 - g**3 + 5*g**3.
15*g**3
Expand (-2*q + 3*q - 2*q)*(-6*q + 3*q + 4*q) - 2*q**2 + 4*q**2 - 4*q**2 + (-1 + 1 + q)*(-7*q + q - q).
-10*q**2
Expand ((-2*s + 2 - 2)*(-4 + 1 + 5) - s + 1 - 1 - s - 4*s + 3*s)*(-5*s**2 + 0*s**2 + 8*s**2).
-21*s**3
Expand (5*w + 7*w - 10*w)*(-6 + 2 + 2)*(3 - 3 - 4*w)*(w - 3*w + w).
-16*w*... | {
"pile_set_name": "DM Mathematics"
} |
t q?
168*q
Let w be (12/(-10))/(9/(-30)). What is the second derivative of w*s**4 - 4*s + 3*s**3 - s**3 - 2*s**3 wrt s?
48*s**2
Let q(j) be the first derivative of -1 + 0*j + 0*j**2 + 1/2*j**4 - 2*j**3. What is the third derivative of q(o) wrt o?
12
Let n(z) be the first derivative of 29*z**6/6 - 7*z**2 + 28. What is t... | {
"pile_set_name": "DM Mathematics"
} |
and give h.
-1626
Rearrange 300*p**3 + 373*p + 126*p - 302*p**3 to the form o + k*p + q*p**2 + l*p**3 and give k.
499
Express k - k + 3*k - 16*k**4 - 1 - 5*k in the form n*k**4 + u*k + s*k**2 + l + m*k**3 and give l.
-1
Express (-11*d**2 + d**2 - 7*d**2)*(-4 + 4 - 3) + 3*d**2 - 6*d**2 + d**2 as k + z*d**2 + s*d and giv... | {
"pile_set_name": "DM Mathematics"
} |
wrt j.
12*j*k + 6210*j - 74*k + 2
What is the second derivative of 2*c**3*f**2*u - 96*c**3*f**2 - 166*c**3 - 2*c**2*f - 2*c*f*u + 3*f**2*u + 2*f**2 wrt f?
4*c**3*u - 192*c**3 + 6*u + 4
What is the third derivative of 1313*c*l**3*w**3 - 8*c*l**3*w**2 - 3*c*l - 3*c*w + 5*l**2*w + 2*w**3 - 18*w wrt l?
7878*c*w**3 - 48*c*w... | {
"pile_set_name": "DM Mathematics"
} |
4784*c?
-260688*c**2 + 18
Find the second derivative of 470966*v**2 - 677366*v - 3 wrt v.
941932
Find the third derivative of j**2*p**3*z**2 + 4*j**2*p*z**2 + 8*j**2 + 195*j*p**4*z**2 - 2879*j*p**2*z**2 wrt p.
6*j**2*z**2 + 4680*j*p*z**2
What is the second derivative of 15688*b**3*d**2 - 15*b**3*d - 17*b**3 + 2*b*d - 1... | {
"pile_set_name": "DM Mathematics"
} |
36, 134, 292, 522, 836, 1246?
2*r**3 + 12*r**2 - 28
What is the h'th term of 26, 41, 72, 125, 206, 321, 476?
h**3 + 2*h**2 + 2*h + 21
What is the d'th term of 358, 359, 360, 361, 362?
d + 357
What is the i'th term of 27, 8, -35, -114, -241?
-2*i**3 - 5*i + 34
What is the w'th term of -226, -228, -240, -268, -318?
-w**... | {
"pile_set_name": "DM Mathematics"
} |
2.
-3*g**2 - 2*g
Collect the terms in 114*k + 2 - 14 + 183*k - 98*k + 10.
199*k - 2
Collect the terms in -334*l - 315*l - 447*l + 433*l - 407*l.
-1070*l
Collect the terms in -153*p - 151*p - 153*p - 156*p - 155*p + 773*p.
5*p
Collect the terms in -269*j + 269*j + 208*j**2 - 210*j**2.
-2*j**2
Collect the terms in -370 +... | {
"pile_set_name": "DM Mathematics"
} |
- 1/70*t**6 - 19*t + 1/4*t**4. Factor s(x).
-3*x*(x - 1)**2*(x + 4)/7
Suppose 88*d - 210 = 54. Let j(v) be the second derivative of 0 - 1/54*v**4 + 2/27*v**d - 1/9*v**2 - 12*v. Factor j(n).
-2*(n - 1)**2/9
Let c(x) = x**2 - 58*x - 59. Let f be c(59). Let r(o) be the third derivative of 0 + f*o - 1/8*o**4 + 0*o**3 + 0*... | {
"pile_set_name": "DM Mathematics"
} |
-v**2 - 4*v**3 + 6*v**3 + 0*v**2 - 7*v**4 as o + m*v**3 + l*v + w*v**2 + i*v**4 and give i.
-7
Rearrange -k - 4 + 8*k**2 + 1 - 7*k**2 + 3*k to a*k**2 + w + o*k and give w.
-3
Express 2*j + 0*j - j + (-3 - 1 + 1)*(-2*j + 0*j + 0*j) - 4*j + 4*j - 2*j + 3 - 4*j - 3 as x + u*j and give u.
1
Rearrange (14*a + 1 + 37*a - 22*... | {
"pile_set_name": "DM Mathematics"
} |
707/920)
Simplify ((a**(2/7))**27/(a/(a*a/(a*a**(1/3)*a)*a)*a**(-1/3)))**(-13) assuming a is positive.
a**(-702/7)
Simplify q**(1/19)/(q*q/q**(3/16))*(q/(q**(-4/3)*q))**(-2/73) assuming q is positive.
q**(-119597/66576)
Simplify z**(8/3)*z**(1/5)*((z*z**(-5))/z)/z*z**(8/9) assuming z is positive.
z**(-101/45)
Simplify ... | {
"pile_set_name": "DM Mathematics"
} |
w(o) = 2*o**2 + 79*o - 912. Calculate w(-49).
19
Let n(r) = -r**3 + 3*r**2 - 5*r + 45. Calculate n(5).
-30
Let n(p) = 150*p - 21161. Give n(141).
-11
Let r(g) = g**2 + 343*g + 1697. Calculate r(-5).
7
Let t(g) = 258*g + 17579. Calculate t(-68).
35
Let t(x) = 2*x**2 + 32*x + 105. Determine t(-6).
-15
Let a(x) = -3*x**3 ... | {
"pile_set_name": "DM Mathematics"
} |
/8
Factor 2*a**3/3 + 236*a**2/3 - 238*a/3.
2*a*(a - 1)*(a + 119)/3
Factor l**3/3 - l**2/3 - 16*l/3 + 16/3.
(l - 4)*(l - 1)*(l + 4)/3
Determine x so that -2*x**5/7 - 304*x**4/7 - 1692*x**3 - 21600*x**2/7 + 33750*x/7 = 0.
-75, -3, 0, 1
Factor 92708*z**3 - 53760*z**2 + 8016*z - 64.
4*(7*z - 2)**2*(473*z - 4)
Find q such t... | {
"pile_set_name": "DM Mathematics"
} |
).
-5866*v
Expand (61 - 111 - 270)*(-83 - 113 + 226 + 2*y).
-640*y - 9600
Expand (2 + 353627*l - 2 - 349157*l)*(-4*l**2 + l**4 + 7*l**2 + l**4).
8940*l**5 + 13410*l**3
Expand (-3 + 5 - 3)*(1 + 3 - 3)*((-4 - 1 + 0)*(3 - 3 - s) + 2*s - 4*s + 5*s) + 3 + 4*s - 3.
-4*s
Expand (2*n + 3 - 3)*(4*n**3 + 25*n**3 - 6*n**3)*(-635 ... | {
"pile_set_name": "DM Mathematics"
} |
at is b(v(x))?
-25*x**2
Let x(y) = -70*y + 70*y + 3*y**2. Let q(o) = -3*o. Calculate x(q(r)).
27*r**2
Let s(c) = 6*c**2 + 25*c. Let y(u) = -4*u. Calculate y(s(i)).
-24*i**2 - 100*i
Let b(q) = -6*q**2. Let f(i) = -i - 3*i + 2*i. Determine b(f(o)).
-24*o**2
Let k(j) = -14*j - 1. Let i(p) = p + 1. Let r(c) = i(c) + k(c). ... | {
"pile_set_name": "DM Mathematics"
} |
4*p = 20. Let w = 9 - -2. What is the third derivative of -48*z**5 + 45*z**5 - 3*z**2 + w*z**c wrt z?
-180*z**2
Find the third derivative of 1744758*q + 10*q**3 - 2 - 66*q**2 - 1744775*q + 14*q**4 + 13*q**4 wrt q.
648*q + 60
Suppose 4*i + 11*y = 8*y + 339, 0 = -2*i + 4*y + 164. What is the third derivative of 21 - 5*h*... | {
"pile_set_name": "DM Mathematics"
} |
ming i is positive.
i**(-101/10)
Simplify (u**11*u)**(1/15) assuming u is positive.
u**(4/5)
Simplify (u*((u/u**(9/4))/u)/u)/u**5 assuming u is positive.
u**(-29/4)
Simplify (k*k/k**(-1/6))**23/(((k*(k**(1/2)/k)/k)/k)/k**1) assuming k is positive.
k**(157/3)
Simplify i/(i**(1/26)/i)*i**(-4/17) assuming i is positive.
i... | {
"pile_set_name": "DM Mathematics"
} |
e third derivative of -w*f**2 + 3*f**6 - 3 + 3 wrt f.
360*f**3
Let d = -11 + 17. What is the second derivative of -6*j + 6*j + d*j**2 - 5*j wrt j?
12
Let m(f) be the second derivative of -9*f**6/5 - 11*f**3/6 - 2*f + 3. What is the second derivative of m(d) wrt d?
-648*d**2
Let r(m) = 29*m**2 - 5*m - 26. Let u(z) = -14... | {
"pile_set_name": "DM Mathematics"
} |
-4*v + 2*v + 0*v)*(0 + 0 + 2))*(3 - 3 - v)*(-4 - 4 - 5).
-26*v**2
Expand 1 - h**3 - 1 + ((-2*h**2 + 3*h**2 - 2*h**2)*(-2*h + 0 + 0) + 35 - 35 + 14*h**3)*(-4 + 0 + 2).
-33*h**3
Expand (13 + 20 - 5)*(0*j**4 + 2*j**5 + 0*j**4 + (j**2 + j**2 + 0*j**2)*(-j**3 + j**3 + j**3)) + (-3*j**2 + 2*j**3 + 3*j**2)*(-7*j - 5*j**2 + 7*... | {
"pile_set_name": "DM Mathematics"
} |
l**4 - 3*l**4 + 2*l**4 as k*l + z*l**3 + f*l**4 + g + d*l**2 and give d.
2
Express ((2 + 0 + 0)*(2*n + 2*n - 2*n) + 0*n - 3*n + n - n - 1 + 1)*(-2*n - n - n) in the form h*n**2 + r + y*n and give h.
-4
Express -17*g + 6*g - 202 + 21*g - 13*g as r*g + f and give r.
-3
Express 2*n - 2*n + 2*n - 3*n + 0*n + 5*n + (168 + 1... | {
"pile_set_name": "DM Mathematics"
} |
(m + 1)**2/3
Suppose -20*c**4 + 77/2*c**3 + 2*c**2 + 3/2*c**5 + 0 - 22*c = 0. What is c?
-2/3, 0, 1, 2, 11
Let j(d) be the first derivative of -d**6/18 + 22*d**5/15 - 97*d**4/12 - 88*d**3/3 - 24*d**2 + 7449. Determine o so that j(o) = 0.
-1, 0, 12
Let d(o) be the first derivative of o**4/3 + 500*o**3/3 + 23562*o**2 + 1... | {
"pile_set_name": "DM Mathematics"
} |
easing order.
-1, 3, s, 356
Let f be 6/9 - (-8)/60. Let d = -7/15 + f. Sort 1, 1/10, d in decreasing order.
1, d, 1/10
Let n(j) = -j**3 + 26*j**2 + 58*j - 58. Let v be n(28). Sort v, 2, 4, -4.
-4, v, 2, 4
Let f(m) = m**3 - 2*m**2 - 3*m + 3. Let l be f(2). Let h = -2 - l. Let o(c) = 8*c**3 + c**2 - 4*c + 2. Let n be o(1... | {
"pile_set_name": "DM Mathematics"
} |
t k be (-2)/13 - -2 - (-32)/208. Determine j so that -2/5*j**3 + 0 - 2/5*j**4 + 2/5*j + 2/5*j**k = 0.
-1, 0, 1
Let v(y) be the first derivative of y**3 + 3*y**2 - 24*y - 24. Solve v(f) = 0 for f.
-4, 2
What is z in 21*z - z**3 - 3*z**2 - 46*z + 23*z = 0?
-2, -1, 0
Let t(l) = -l - 2. Let s be t(-4). Factor -n**3 + n**3 ... | {
"pile_set_name": "DM Mathematics"
} |
. Determine m(q(y)).
28*y**2
Let n(d) = 2*d - 4*d - 5*d + d. Let g(j) be the first derivative of 2*j**3/3 - 2. What is n(g(z))?
-12*z**2
Let t(s) = 4*s + 9. Let f(u) = -u - 2. Let c(o) = 9*f(o) + 2*t(o). Let i(z) be the first derivative of z**3 + 5. Determine c(i(n)).
-3*n**2
Let p(m) = 128*m. Let k(t) = -4*t**2 + 4. W... | {
"pile_set_name": "DM Mathematics"
} |
n 848094 + n - 848094.
n
Collect the terms in u**2 - u**2 - u**2 - u**2.
-2*u**2
Collect the terms in i + 19*i - 3*i - 10*i.
7*i
Collect the terms in -4*g - 16*g**3 + 0*g + 4*g.
-16*g**3
Collect the terms in u + 692 - 692.
u
Collect the terms in 12*l**2 + 1177*l - 1177*l.
12*l**2
Collect the terms in 0 + 0 + 26*t - 30*... | {
"pile_set_name": "DM Mathematics"
} |
.
2*c*(c - 2233)*(c + 39)
Factor -2*s**4/5 + 948*s**3 - 14208*s**2/5 + 14204*s/5 - 4734/5.
-2*(s - 2367)*(s - 1)**3/5
Solve -j**5 + 51*j**4 - 141*j**3 - 155*j**2 + 534*j - 288 = 0 for j.
-2, 1, 3, 48
Suppose 4*n**2 - 282840*n + 848484 = 0. What is n?
3, 70707
Find m such that -3*m**5/4 + 57*m**4 - 15*m**3/2 - 3825*m**2... | {
"pile_set_name": "DM Mathematics"
} |
10*v)*(0 + 0 + 3 + (0 + 0 - 7)*(0 + 1 - 3)).
51*v**4
Expand 7*x**3 - 4 + 4 + (-x**2 + 0 + 0)*(2*x - 3*x + 3*x) - 31*x**3 + 10*x**3 - 7*x**3.
-23*x**3
Expand -3*w**3 - 4*w**3 + 0*w**3 + (-48*w - 22 + 22)*(-3*w**2 - w**2 + 3*w**2).
41*w**3
Expand (0 + 0 - 1)*(-25*k - 8*k**3 + 25*k)*(-11*k - 124 + 124).
-88*k**4
Expand (... | {
"pile_set_name": "DM Mathematics"
} |
13).
2
Let g(x) = x - 10. Calculate g(5).
-5
Let k(x) = -x**3 + 23*x**2 + 52*x - 43. Determine k(25).
7
Let l(u) = -7*u - 233. Give l(-34).
5
Let y(c) = -c**3 + 38*c**2 - 106*c + 11. Give y(35).
-24
Let n(v) = -v**3 - 7*v**2 - 11*v + 2. Give n(-5).
7
Let u(n) = 13*n + 2. Calculate u(3).
41
Let m(o) = -3*o + 12. Determi... | {
"pile_set_name": "DM Mathematics"
} |
n 67*i**2 + 64*i**2 + 183*i**2.
314*i**2
Collect the terms in 2 + 16*u + 24*u - 9*u.
31*u + 2
Collect the terms in b**2 - 7*b**3 - 4*b**2 - 5*b**3.
-12*b**3 - 3*b**2
Collect the terms in 19*k**3 - 15 + 11 + 4.
19*k**3
Collect the terms in -49*g - 20*g + 6*g + 2*g.
-61*g
Collect the terms in -168 + 246 - 3*g - 2*g + 6*g... | {
"pile_set_name": "DM Mathematics"
} |
he second derivative of -11/6*s**4 - 29/30*s**6 - 24*s + 0*s**5 + 0*s**3 + 0*s**2 + 0. What is the third derivative of j(x) wrt x?
-696*x
Let v(o) = -405*o**2 + 82*o - 15. Let s(p) = 809*p**2 - 166*p + 25. Let y(q) = 3*s(q) + 5*v(q). What is the second derivative of y(u) wrt u?
804
Suppose -54*s = 42*s - 33*s. Let i(p)... | {
"pile_set_name": "DM Mathematics"
} |
ctor -4*p**2 + 49464*p + 445500.
-4*(p - 12375)*(p + 9)
Factor q**2 + 144*q + 959.
(q + 7)*(q + 137)
Let -15*l**3/2 - 1026*l**2 + 4194*l - 4224 = 0. What is l?
-704/5, 2
Factor 150*n**2 + 9429*n - 1323.
3*(n + 63)*(50*n - 7)
Solve -4*q**4 + 152*q**3 - 416*q**2 - 152*q + 420 = 0.
-1, 1, 3, 35
Factor -2*o**3 - 3910*o**2 ... | {
"pile_set_name": "DM Mathematics"
} |
1. Let g(p) = -d(p) - z(p). What is g(b(w))?
-4*w**2
Let l = 1 + -1. Let n(w) = 0*w + l*w - 2*w**2. Let d(t) = -3*t + t**2 + 3*t. What is d(n(v))?
4*v**4
Let j(y) = -2*y**2 + 9*y. Let q(z) = -479*z. Determine q(j(a)).
958*a**2 - 4311*a
Let f(o) = 4*o**2 - 5*o. Let c(y) = -12*y**2 + 16*y. Let k(j) = -5*c(j) - 16*f(j). ... | {
"pile_set_name": "DM Mathematics"
} |
10*v)*(0 + 0 + 3 + (0 + 0 - 7)*(0 + 1 - 3)).
51*v**4
Expand 7*x**3 - 4 + 4 + (-x**2 + 0 + 0)*(2*x - 3*x + 3*x) - 31*x**3 + 10*x**3 - 7*x**3.
-23*x**3
Expand -3*w**3 - 4*w**3 + 0*w**3 + (-48*w - 22 + 22)*(-3*w**2 - w**2 + 3*w**2).
41*w**3
Expand (0 + 0 - 1)*(-25*k - 8*k**3 + 25*k)*(-11*k - 124 + 124).
-88*k**4
Expand (... | {
"pile_set_name": "DM Mathematics"
} |
(f)?
-f**2 - 3
Let r(g) = 16*g**2 + 2*g - 15. Let t(o) = 49*o**2 + 7*o - 44. Give -7*r(x) + 2*t(x).
-14*x**2 + 17
Let v(l) = -3*l - 2. Let z(h) = -12*h - 2. Let d(f) = 2*v(f) - z(f). Let w(b) = 5*b - 2. Give -3*d(q) + 4*w(q).
2*q - 2
Let c(h) = h**2 + h - 1. Suppose -1 = y - 2*l, 3*y - 4*l + 16 = 15. Let p(s) = -5*s**3... | {
"pile_set_name": "DM Mathematics"
} |
he terms in -26*m**3 + 16*m**3 - 25*m**3 + 2*m + 36*m**3 - 120.
m**3 + 2*m - 120
Collect the terms in -11187*t**3 - 3*t - t - 4*t + t + 3*t**2 + 9*t.
-11187*t**3 + 3*t**2 + 2*t
Collect the terms in -1369 + 2739 - 1370 - 10607*m**3 + 7*m**2.
-10607*m**3 + 7*m**2
Collect the terms in 3 + 10190*h - 9944*h - 13 + 10.
246*h... | {
"pile_set_name": "DM Mathematics"
} |
Expand (3 - 1 - 1)*(-9*y + y**2 + 9*y)*((-5 + 0 + 4)*(2 - 7 + 3) - 2 + 4 + 1)*(2 + 0 - 4)*(0*y**2 - 2*y**2 + 4*y**2) + 7*y**4 + 8*y**4 - 8*y**4.
-13*y**4
Expand -2*w**4 - 1 + 1 + (-6*w**2 + 6*w**2 + 4*w**3)*(-229*w + 104 - 104).
-918*w**4
Expand (-5*t + 12*t + 10*t)*(174 - 86 - 24)*(-1 - 2 + 2).
-1088*t
Expand (4*u - ... | {
"pile_set_name": "DM Mathematics"
} |
ond derivative of c*j**o - j + 2*j + j wrt j.
24*j**2
Let g(d) be the first derivative of -7*d**4/2 + d**3/3 - 35*d + 52. What is the third derivative of g(h) wrt h?
-84
Let b(p) = 8*p**3 - 3*p**2 - 2*p. Let h(z) = -z**3 + z**2. Let l(x) = b(x) + 3*h(x). What is the second derivative of l(q) wrt q?
30*q
Let p(a) be the... | {
"pile_set_name": "DM Mathematics"
} |
2*v - 4. Determine q(1).
8
Let f(x) = -x**2 + 4*x + 1. Let n(t) = -5*t. Let o be n(-1). Suppose -5*c = o*g + 10, 5*g + 40 = 4*c + c. Let k = g + 8. Calculate f(k).
4
Suppose -4*o - 4 = -5*a + 10, 3*o + 22 = -2*a. Let p(m) = 3*m**2 + m**2 - 5*m**2 - 6*m + 6. What is p(o)?
6
Let j(c) be the third derivative of -c**4/24 ... | {
"pile_set_name": "DM Mathematics"
} |
47 assuming r is positive.
r**(6345/7)
Simplify ((n/n**6*n**(-1)/n)/((n**(-1/3)*n)/n)**(2/15))/((n*n*n*n*n**(1/4)*n)**(6/7)*n**(4/5)/(n/(((n/((n*n**(2/11))/n))/n)/n))) assuming n is positive.
n**(-9973/990)
Simplify (k/k**17)/(k/k**(-10/9))*k**(-11)*k/k**34 assuming k is positive.
k**(-559/9)
Simplify (z/z**28*z**(-30)... | {
"pile_set_name": "DM Mathematics"
} |
tive of 5*g**6/6 - 2*g**3 - 5*g - 4. Let m(z) be the first derivative of v(z). What is the second derivative of m(s) wrt s?
300*s**2
Suppose -7 = x - 9. Differentiate -19*p**2 + 3 + 0*p**2 + 6*p**x with respect to p.
-26*p
Let q(r) be the second derivative of 0*r**5 + 17/6*r**3 + 0 + 0*r**2 + 0*r**4 - r + 4/21*r**7 + 0... | {
"pile_set_name": "DM Mathematics"
} |
Expand 1025 + 5*i**2 + i - 1025 + 0*i + 0*i - i**2 + (-2 + 0 + 4)*(-1 + 1 + 2*i**2) + 2*i + i**2 - 2*i - 3*i + 3*i + i**2.
10*i**2 + i
Expand (-2 + 2*v + 2)*(-2 + 0 + 0)*(v - 2*v + 4*v + (5 - 2 - 2)*(-2*v + 4*v - v) - 8*v + 3*v - 3*v)*(0 - v**2 + 0).
-16*v**4
Expand (14*r**3 - 45*r + 3*r**3 - 16*r**3)*(r - 2*r - 2*r).
... | {
"pile_set_name": "DM Mathematics"
} |
) = -8*j**2. Let n(o) = 4*o**2 - 2*o**2 - 6*o**2 + 3*o**2. Give w(n(y)).
-8*y**4
Let x(k) = 11 - 11 - k**2. Let p(o) = -1 - 2*o + 2 - 1. Determine x(p(t)).
-4*t**2
Let f(u) be the first derivative of 5*u**2/2 - 14. Let a(w) = w. Give f(a(t)).
5*t
Let b(p) = -p**2. Let t(f) = -9*f. Give t(b(o)).
9*o**2
Let x(d) be the t... | {
"pile_set_name": "DM Mathematics"
} |
third derivative of -4*g**6 + 104*g**4 - 759*g**2.
-480*g**3 + 2496*g
Differentiate 39*p**2*r + 2*p*r**2 - 3*p*r + 272*r**2 with respect to p.
78*p*r + 2*r**2 - 3*r
Find the third derivative of 403*a**3 - 3*a**2 + 281*a.
2418
Find the third derivative of 14*f**6 - 2*f**4 + 2825*f**2 wrt f.
1680*f**3 - 48*f
What is the ... | {
"pile_set_name": "DM Mathematics"
} |
+ 3*a - 2*a + 2*a as o*a + l and give o.
17
Express -v - 14*v**2 - 5*v**2 + 62*v**2 + 30*v**2 as b*v + g + z*v**2 and give z.
73
Express (f + 0*f + 0*f)*(-6*f + 17*f - 65*f) - 6*f + 6*f - 3*f**2 - 2*f**2 + 4*f**2 - 3*f**2 as l*f + s + k*f**2 and give k.
-58
Express -64*j - 61*j - 82*j as u*j + h and give u.
-207
Rearr... | {
"pile_set_name": "DM Mathematics"
} |
2 - 11*r - 15*r + 21*r. Let g(f) = -f + 1. Determine -6*g(p) + y(p).
-2*p**2 + p - 2
Let g(f) be the second derivative of -f**3/2 + f**2 + 12*f. Let l(m) = -3*m + 3. Determine 3*g(h) - 2*l(h).
-3*h
Let z(g) be the first derivative of -g**4 - 5*g**2/2 - 14. Let k(y) = 4*y**3 + 4*y. What is 5*k(o) + 4*z(o)?
4*o**3
Let g(... | {
"pile_set_name": "DM Mathematics"
} |
- 2 + 2 + 273*z**2.
-z**2
Collect the terms in 334*r**3 - 1007*r**3 + 338*r**3 + 337*r**3.
2*r**3
Collect the terms in 691*c - 93*c + 746*c.
1344*c
Collect the terms in -16*g**2 + g**3 - 3*g**2 + 19*g**2.
g**3
Collect the terms in 249*b**3 - 251*b**3 - 2 + 2.
-2*b**3
Collect the terms in 238*l - 435*l + 199*l.
2*l
Coll... | {
"pile_set_name": "DM Mathematics"
} |
arrange 0*b**2 + 9*b**2 - 5*b + 5*b to d*b**2 + y*b + x and give d.
9
Express (-1 - 1 + 3)*(-n**3 - 3*n**3 + n**3) - 4*n + 13*n**3 - 2*n + 2*n + (-2*n**3 + 4*n**3 + 0*n**3)*(1 - 3 + 1) as y + l*n**3 + r*n**2 + x*n and give x.
-4
Express (-2 - 3 + 4 + (3 + 4 - 5)*(-4 + 2 + 3))*(-3*t**2 - 26*t + 9*t + 11*t) as v*t + h + ... | {
"pile_set_name": "DM Mathematics"
} |
427 + -192. Let g(i) = -2303*i - 235. Let o(z) = -39*z - 4. Let q(j) = t*o(j) - 4*g(j). Give d(q(r)).
-2209*r**2
Let f(a) be the third derivative of -a**5/60 - 125*a**3/3 + a**2 - 92*a. Let q(j) = j. Determine q(f(b)).
-b**2 - 250
Let d(n) = -3*n. Suppose -x + 2*a = -6*x + 30, 4*x - a = 11. Let w be 0 - x*(-2)/4. Let s... | {
"pile_set_name": "DM Mathematics"
} |
t p(l) = l**2 + 5*l - 9. Let t = -20 + 13. Let y be p(t). Let y*n**3 + 2*n**2 - 2*n**4 - 3*n + n - 3*n**3 = 0. What is n?
-1, 0, 1
Let -1/4*k**2 + 0 - 1/4*k = 0. Calculate k.
-1, 0
Suppose -5*d = -2*d. Let u be (-6)/12*(-3 + -1). Let d - 1/2*y**u + 1/2*y = 0. What is y?
0, 1
Let q = -20 - -26. Let d(j) be the first der... | {
"pile_set_name": "DM Mathematics"
} |
4*g**2 - 245460*g*m**3
Find the third derivative of -3*i*v**3 + i*v**2 + 22*i*v + i + 5112*v**5 + v - 160 wrt v.
-18*i + 306720*v**2
Find the third derivative of -c**5 + 73784*c**4 + c**2 + 99276.
-60*c**2 + 1770816*c
Differentiate -25*c*t**2 + 153*c*t + 89*c - 2*t**2 + 955 wrt t.
-50*c*t + 153*c - 4*t
Differentiate -2... | {
"pile_set_name": "DM Mathematics"
} |
*i**2 - 2*i + 3*i**2 - 2*i**3 + 1. What is a(b)?
-1
Let q be (-10 - -1)*(-8)/12. Let p(o) be the second derivative of 0 + 14*o + 1/12*o**4 - 4/3*o**3 + 5/2*o**2. Calculate p(q).
-7
Let h(f) be the second derivative of -f**3 - 9*f**2 - 29*f + 2. Determine h(6).
-54
Let s(r) = 3*r + 1. Let h be s(2). Let j(i) = -i**3 + 1... | {
"pile_set_name": "DM Mathematics"
} |
Let f(i) = 3*i**3 + 2*i + 3. Give c*f(o) + 2*r(o).
-3*o**3 - 1
Let q(n) = 6*n**2 - 10*n + 1. Let f(t) = 13*t**2 - 21*t + 2. What is -3*f(r) + 7*q(r)?
3*r**2 - 7*r + 1
Let i(s) = s - 6. Let x(f) = 3*f - 17. Let a be -2 - 96/(9/(-3)). Suppose 2*w - 7*w + a = 0. Determine w*x(l) - 17*i(l).
l
Let p(y) = y**3 + 2*y**2 - 2*y... | {
"pile_set_name": "DM Mathematics"
} |
ect the terms in 3 + 0 - 454*k + 0.
-454*k + 3
Collect the terms in 3*w + 79584*w**3 - 79586*w**3 - 3*w.
-2*w**3
Collect the terms in -2*r**3 + 40*r**3 + 41*r**3.
79*r**3
Collect the terms in 14*s - s - 9*s.
4*s
Collect the terms in 7*s + 41 - 4*s - 41 - 5*s.
-2*s
Collect the terms in 21*r**2 - 20*r**2 + 8*r**2 + 22*r*... | {
"pile_set_name": "DM Mathematics"
} |
7/14 - 5*q**4/8 - 12*q**2. What is the second derivative of g(h) wrt h?
180*h**2
Let o(t) = -4*t + 24. Let j be o(6). Let p(m) be the third derivative of 1/24*m**4 - m**2 + 0*m - 1/6*m**3 + j. Differentiate p(f) with respect to f.
1
Suppose 0 = -a + 5*o - 23, o - 11 = -3*a - 0*o. Let m be 1/(((-3)/(-9))/1). Find the se... | {
"pile_set_name": "DM Mathematics"
} |
r(t) = -14*t + 1275. Give -4*r(f) - 11*w(f).
f - 436
Let w(p) = 6*p**2 - 2*p + 25. Let i(k) = -4*k**2 + 2*k - 24. Give 4*i(l) + 3*w(l).
2*l**2 + 2*l - 21
Let z(l) = -14*l**2 + 2*l + 41. Let m(t) = -12*t**2 + 3*t + 46. Calculate -2*m(v) + 3*z(v).
-18*v**2 + 31
Let z(w) = w - 5. Let t(m) = -m**3 - 31*m**2 + 4. Let o be t... | {
"pile_set_name": "DM Mathematics"
} |
2*w + 2 - 2)*(-4 + 0 + 5) + w - 2*w + 2*w.
3*w
Expand (-1 + 1 - a)*(0 + 2 - 1) + 0*a + 0*a - 2*a + 0*a + 4*a - 5*a + 4 - 4 + 2*a.
-2*a
Expand (-w - 1 + 1)*(3 - 3 + 2*w) + (-3*w**2 + 3*w**2 + 2*w**2)*(-5 - 2 + 5).
-6*w**2
Expand (-4*j + 3*j + 7*j)*(0 + 3 - 2) + (1 + 0 + 2)*(-3*j - j + 5*j).
9*j
Expand 3*t + 2*t - 4*t + ... | {
"pile_set_name": "DM Mathematics"
} |
0*s**3 + 3
Differentiate -91644936*s - 191442273.
-91644936
What is the second derivative of -51*i**5 + 1047588*i**4 - 105507669*i?
-1020*i**3 + 12571056*i**2
Find the third derivative of 19871364*n**5 - 1458*n**2 - 2037.
1192281840*n**2
Find the second derivative of -131068958*a**4 + 67266356*a wrt a.
-1572827496*a**2... | {
"pile_set_name": "DM Mathematics"
} |
rivative of u**3 - 3*u**2 - u**2 - 3*u**3 + 12 + 4*u + 3*u**2. Suppose c(h) = 0. Calculate h.
-1, 2/3
Let l(q) be the second derivative of -q**7/1890 - q**6/1080 + q**5/270 - 37*q**2/2 - 27*q. Let w(a) be the first derivative of l(a). Factor w(m).
-m**2*(m - 1)*(m + 2)/9
Let a(k) = 48*k**5 - 96*k**3 + 33*k**2 + 81*k. L... | {
"pile_set_name": "DM Mathematics"
} |
q(m).
-3*m**2 - 2
Let z(c) = 6*c + 4. Suppose -20 = 2*p - 10. Let i(w) = 24*w + 14. Let s(m) = 5*m + 3. Let l(h) = 2*i(h) - 11*s(h). Calculate p*z(a) - 4*l(a).
-2*a
Let i(t) = 3*t**2 - 4*t - 4. Let d = -23 + 31. Suppose -3*w + d*w = -55. Let l(n) = 8*n**2 - 11*n - 11. What is w*i(p) + 4*l(p)?
-p**2
Let p(q) = 8*q**3 + ... | {
"pile_set_name": "DM Mathematics"
} |
3*f**2 + 3*f. What is 2*q(t) + 3*y(t)?
3*t**2
Let s(q) = -2*q**2 + 2*q + 4. Let u be -3 - (63/(-3) + -1). Let i = u + -13. Let y(v) = 5*v**2 - 3*v**2 - i*v - 3 + 4*v. What is -4*s(z) - 5*y(z)?
-2*z**2 + 2*z - 1
Let u = -7 + 6. Let x(j) = -j**3 + j**2 - j + 1. Let l(m) = -4*m**3 + 2*m**2 - 3*m + 1. Determine u*l(n) + 3*... | {
"pile_set_name": "DM Mathematics"
} |
x**2 + f*g - 13*f*x**2 + 29*f*x - 9537*g*x**2 - 32*g - x**2 + 17*x - 2 with respect to g.
-2*f*x**2 + f - 9537*x**2 - 32
Find the second derivative of -15*l**2*x - l**2*z**2 + 8*l*x + 199*x*z**2 - 10*z**2 - z wrt z.
-2*l**2 + 398*x - 20
Differentiate -182*x**3 + x**2 + 77*x - 21470.
-546*x**2 + 2*x + 77
Find the third ... | {
"pile_set_name": "DM Mathematics"
} |
13. Factor u(z).
z**2*(z - 2)*(z + 1)**2
Let l(t) be the second derivative of t**6/80 - t**4/16 + 3*t**2/16 - 20*t. Factor l(i).
3*(i - 1)**2*(i + 1)**2/8
Let r(x) be the second derivative of -1/27*x**3 + 2/135*x**6 + 0 + 0*x**5 + 9*x + 1/189*x**7 + 0*x**2 - 1/27*x**4. Factor r(b).
2*b*(b - 1)*(b + 1)**3/9
Let k be ((... | {
"pile_set_name": "DM Mathematics"
} |
8498*a*u - 3*u wrt d.
-9145831206*a*u**2
What is the second derivative of 15*f**3*o + 3*f**3 + f**2*o + 1138*f**2 - 14391*f*o - 2344*o wrt f?
90*f*o + 18*f + 2*o + 2276
Differentiate -24*c**2*m - 2506*c**2 + 66998*c*m - 186*c - 2 wrt m.
-24*c**2 + 66998*c
Differentiate 2*d*p**2 + d*p + 1211674*d + 746*p**2 - 77*p wrt p... | {
"pile_set_name": "DM Mathematics"
} |
1)*(3*r + 2*r - 4*r)*(-6*r**2 - r**3 + 6*r**2) - 2 + 2 + 2*r**4.
4*r**4
Expand (4 + 2 - 4)*(2*i - 7*i + i) + (0*i - 2*i + 0*i)*(0 - 1 - 2).
-2*i
Expand (-p + 5*p - p)*(-2 - 4*p - 2*p + 2*p).
-12*p**2 - 6*p
Expand (2*u - 2*u - 7*u)*(4*u - 4*u + u**3)*(-3 - 2 + 2).
21*u**4
Expand (2*j + j - 4*j + (0 - 4 + 2)*(-2*j + 2*j... | {
"pile_set_name": "DM Mathematics"
} |
-21) assuming i is positive.
i**(1273/1120)
Simplify ((y*y/((y/(y**(-5)/y*y)*y)/y))**5/(y*y**(-3)*y**(1/12)/y*y))**36 assuming y is positive.
y**(-651)
Simplify (h/(h/h**11))/h**41*(h/h**(-2/53))**(2/37) assuming h is positive.
h**(-58720/1961)
Simplify (((x**7*(x/x**(-1/20)*x*x)/x*x*x*x)/((x/x**4)/x**(-11)))**(-27))**... | {
"pile_set_name": "DM Mathematics"
} |
2*i + 5. Let x be 6/(-4) + (-7425)/90. Let w be 6/(-21) + 312/x. Determine o(w).
-3
Let v be (-4)/(-16)*(1 + (-6)/6). Let t(l) = 8*l**2 + 7*l + v*l**3 + l**3 + 11 - 2*l**3. What is t(9)?
-7
Let t(y) be the second derivative of y**5/20 - 7*y**4/12 + y**3 + 5*y**2/2 + 318*y. Suppose 23 = -11*q + 89. What is t(q)?
5
Let j... | {
"pile_set_name": "DM Mathematics"
} |
ms in 631 - 54*l**3 - 631.
-54*l**3
Collect the terms in -3*c**2 - 18140*c + 18140*c.
-3*c**2
Collect the terms in 2806 - l - 2806.
-l
Collect the terms in -q + 4 - 5 + 1.
-q
Collect the terms in 7*g + 9*g - 8*g + 10*g.
18*g
Collect the terms in -28 - 32 + 4*n + 8 + 52.
4*n
Collect the terms in 257*b**2 - 3*b**3 - 784*... | {
"pile_set_name": "DM Mathematics"
} |
2*g**3.
3*g*(g - 1)*(g + 1)
Let n = -109/138 - -22/23. Let o(z) be the second derivative of 0 - 5*z + 1/5*z**2 + 1/15*z**4 - n*z**3 - 1/100*z**5. Factor o(l).
-(l - 2)*(l - 1)**2/5
Let b(y) be the first derivative of -9*y**3 + 183*y**2/2 + 42*y + 16. Factor b(a).
-3*(a - 7)*(9*a + 2)
Let g(t) = -12*t - 6 - 9*t - 5*t**... | {
"pile_set_name": "DM Mathematics"
} |
e 3*n**4 + 66 + 135*n**3 + 66 - 4*n**4 + 67 - 201 to the form q*n**3 + l*n**4 + t*n + s + i*n**2 and give q.
135
Rearrange (-1 - 2*h + 1)*(-4*h**3 - h**3 - 2*h**3) + (-80*h**4 + 2*h**4 - 12*h**4)*(-4 - 2 + 4) to the form q*h**3 + i + w*h + x*h**4 + m*h**2 and give x.
194
Rearrange 2*j**4 - j**4 + 40*j**2 + 72 - 73 to h... | {
"pile_set_name": "DM Mathematics"
} |
)*(3 + 1 - 2) - b + 0 + 0 + (-b + b - b)*(-5 + 2 + 1).
-18*b
Expand 2*i**3 + 0*i**3 - 5*i**3 + (-5*i - 10*i**3 + 5*i)*(-2 + 7 - 1) + (3*i + i - 2*i)*(4 - 18*i**2 - 4).
-79*i**3
Expand (3 + 2 - 3)*(-2*q + 0*q + q) + q + 1 - 1 + 4 - 4 - 3*q + (-79 - 2*q + 79)*(-1 + 1 + 7) + q - 1 + 1 + (-3 - q + 3)*(-6 + 1 + 4) - 2*q + 2... | {
"pile_set_name": "DM Mathematics"
} |
18)/(sqrt(8)*-4 + sqrt(2))) + -2.
-2 + 112*sqrt(7)
Simplify -2 + ((-6*sqrt(114)*1)/((2*sqrt(18))/sqrt(3)) - (((sqrt(19) + -1)*2 - (-1 + sqrt(76))) + 1)).
-3*sqrt(19) - 2
Simplify ((sqrt(77)*5)/sqrt(11) - (-4 + -5*sqrt(7))) + (sqrt(7) + sqrt(1008) + -1 - sqrt(7))*-3*-5.
-11 + 190*sqrt(7)
Simplify (-2*(1*sqrt(432) + sqrt... | {
"pile_set_name": "DM Mathematics"
} |
1547. Let v = 878/663 + x. Find i such that -v*i**2 + 0*i + 2/3*i**4 + 0*i**3 + 2/3 = 0.
-1, 1
Let f(r) = -r**3 + 6*r**2 + 2*r + 3. Let q be f(6). Suppose 2 - 11 = -5*z + 3*l, -4*z + q = -5*l. Factor z*w - 4*w**2 - w + 4*w + 1.
-(w - 1)*(4*w + 1)
Let a = -12 - -8. Let z be (-18)/a - (-3)/6. Factor -4/7*x**3 + 2/7*x + 0... | {
"pile_set_name": "DM Mathematics"
} |
(r). Determine -4*d(p) - 3*k(p).
-p**3 - 7*p**2 + p
Let y(v) = -3*v**3 - v**2 - 4*v - 4. Let h(r) be the first derivative of -3*r**2/2 - 3*r - 27. Let w(i) = i + 1. Let s(f) = h(f) + 2*w(f). Give 4*s(d) - y(d).
3*d**3 + d**2
Let r(x) = -9*x**3 + 6*x**2 - 6. Let j(w) = 936 - 953 + 17*w**2 + 74*w**3 - 100*w**3. Determine... | {
"pile_set_name": "DM Mathematics"
} |
*2 - 8*b + 8. Let f be n(8). Suppose -4*w = -f*w + 8. What is the third derivative of -2*k**2 + 11*k**6 + 16*k**2 + 5*k**2 + 6*k**w wrt k?
1320*k**3
Let d(n) be the third derivative of 31*n**6/3 + 1177*n**3/6 + 22*n**2 + 5*n. Differentiate d(l) with respect to l.
3720*l**2
Let z(g) = -27*g**2 - 2657*g - 4254. Let m(d) ... | {
"pile_set_name": "DM Mathematics"
} |
xpand -y**2 - 3*y**2 - 2*y**2 + (y - y + 2*y)*(y - 4*y + y) + 7*y**2 - 4*y - y - 5*y**2.
-8*y**2 - 5*y
Expand (-11*m - 404 - 12*m + 402)*(2*m - 3*m - 4*m).
115*m**2 + 10*m
Expand (2*x**3 + 3*x**3 - 3*x**3)*(310*x**2 + 94 - 94) + (-3 - 2*x**4 + 3)*(-1 + x + 1).
618*x**5
Expand (s - 2*s - s)*(266*s + 162 - 162)*(2*s**2 -... | {
"pile_set_name": "DM Mathematics"
} |
*4
Let y(r) = -10*r + 30 - 10*r + 22*r - 30. Let u(k) = -87*k**2. Calculate y(u(j)).
-174*j**2
Let u(a) = -7*a**2 - 72*a. Let p(m) = 124*m + 99. Let h(y) = 67*y + 54. Let f(l) = 11*h(l) - 6*p(l). What is f(u(t))?
49*t**2 + 504*t
Let f(l) = 8*l**2 + 21*l - 210. Let s(j) = 70*j**2 + 1. Calculate f(s(u)).
39200*u**4 + 259... | {
"pile_set_name": "DM Mathematics"
} |
+ 3*u**4 + 7*u - 4*u**2 wrt u?
72*u
Let i be (-25)/(-10) - 3/(-2). Find the second derivative of -i - 3*z + 10*z - 4*z**3 + 4 wrt z.
-24*z
Let d(m) be the first derivative of -m**6/15 - m**2/2 + 5*m + 4. Let p(r) be the first derivative of d(r). Find the first derivative of p(k) wrt k.
-8*k**3
Suppose -4*i + 7 = -13. ... | {
"pile_set_name": "DM Mathematics"
} |
Let p(m) = -4*m. Let t(h) = h - 2. Calculate t(p(v)).
-4*v - 2
Let m(g) = -1262*g**2. Let h(d) = 2*d**2. Give m(h(u)).
-5048*u**4
Let p(y) = -55*y**2 + 1. Let s(c) = 2*c**2. Give s(p(q)).
6050*q**4 - 220*q**2 + 2
Let v(c) = c**2. Let b be (4/14)/((-2)/(-14)). Let w(d) = -b*d + 2*d + d - 4*d. Give w(v(p)).
-3*p**2
Let v... | {
"pile_set_name": "DM Mathematics"
} |
(d) = f*d + d + d + 0*d. Let m(y) = -2*y. Determine m(p(r)).
-4*r
Let d(g) = -g**2. Let c(v) = -3*v**2. Let t(s) = 2*c(s) - 5*d(s). Let k(r) = 8*r. Give k(t(m)).
-8*m**2
Let x(i) = 2*i**2. Let a(r) = -3*r + 0*r - r. What is x(a(w))?
32*w**2
Let w(n) = -9 + 9 + n. Let f(r) be the third derivative of 0*r**3 + 0*r + 0*r**... | {
"pile_set_name": "DM Mathematics"
} |
r**4/12 - 45*r**3/2 + 175*r + 18. Let c(v) be the first derivative of z(v). Let c(w) = 0. What is w?
0, 27
Let 18*u**3 - 36 - 4*u + 5*u + 39*u**2 - 5*u**2 - 8*u - 11*u + 2*u**4 = 0. What is u?
-6, -3, -1, 1
Let m(v) be the third derivative of 0*v + 0 + 31/25*v**5 - 4418/15*v**3 - 1/150*v**6 - 141/2*v**4 + 118*v**2. Det... | {
"pile_set_name": "DM Mathematics"
} |
- 3*t + 3. Let i be m(-3). Factor 2*a + 2*a**i + 0*a**3 - 4*a**2 + w*a**2.
2*a*(a - 1)**2
Let z(a) be the second derivative of 0 - 3*a + 0*a**2 + 1/9*a**4 - 1/18*a**3. Determine d, given that z(d) = 0.
0, 1/4
Solve -1/3*b**5 - 8/3*b + 8/3*b**4 + 22/3*b**2 - 7*b**3 + 0 = 0 for b.
0, 1, 2, 4
Suppose 0 = d + 2*d - 3*j - 1... | {
"pile_set_name": "DM Mathematics"
} |
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