text stringlengths 1.4k 8.19k | meta dict |
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*s**2. Let o(r) = -28*r**2. Give c(o(x)).
-1568*x**4
Let h(u) be the second derivative of -13*u**5/120 + 4*u**3 + 2*u + 4. Let b(x) be the second derivative of h(x). Let o(l) = 2*l**2. Calculate b(o(f)).
-26*f**2
Let j(a) be the first derivative of -48*a**2 + 723. Let c(o) = -3*o**2. Determine c(j(f)).
-27648*f**2
Let ... | {
"pile_set_name": "DM Mathematics"
} |
4*y) as j*y**2 + c + a*y and give j.
-164
Rearrange 11*y**3 - 18*y**3 + 9*y**3 - 4*y + 3*y**3 + y**2 + 2*y**4 + 1 to the form n*y**2 + q + w*y**4 + i*y + k*y**3 and give w.
2
Rearrange 129 - 71*z + 831*z - 129 to t*z + j and give t.
760
Express 1225*d**4 + 842 + 834 - 1676 + (-3*d + 0*d + 5*d)*(-3*d + 3*d - 2*d**3) in ... | {
"pile_set_name": "DM Mathematics"
} |
. Let o(j) = j**3 - 5*j**2 - 3*j + 3. What is o(r)?
-12
Let u(n) be the first derivative of -n**4/12 + 2*n**3 - 62*n**2 - 73. Let a(t) be the second derivative of u(t). Calculate a(9).
-6
Let l(g) = -3*g - 2. Let j be l(2). Let d(h) be the third derivative of 0*h - 7/6*h**3 + 1/60*h**5 - 2 + 1/4*h**4 + 113*h**2. Give d... | {
"pile_set_name": "DM Mathematics"
} |
*(n + 2)**3/3
Let h = 9547 + -105013/11. Solve 0*d - h*d**2 + 0 + 2/11*d**3 = 0 for d.
0, 2
Let j = 1412 + -151082/107. Let k = j + 418/535. Determine g, given that -k*g + 0 + 2/5*g**2 = 0.
0, 2
Let f(z) be the second derivative of z**7/8820 + z**6/1260 - z**5/140 - 11*z**4/3 - 9*z. Let q(p) be the third derivative of ... | {
"pile_set_name": "DM Mathematics"
} |
+ 1)*(p + 4)
Let -59166*i**2 + 1680 - 45*i + 59161*i**2 - 35*i = 0. What is i?
-28, 12
Let j(n) = -7*n**2 - 6181*n - 12186. Let o(y) = 60*y**2 + 55605*y + 109675. Let p(g) = 35*j(g) + 4*o(g). Factor p(u).
-5*(u - 1219)*(u + 2)
Let x(h) be the third derivative of -1/105*h**7 - 7/6*h**4 + 0 + 1/10*h**5 + 1/15*h**6 + 151*... | {
"pile_set_name": "DM Mathematics"
} |
at is z(w(k))?
-47184*k**2 + 1
Let s(m) = 71*m. Let b(j) = j. Give b(s(l)).
71*l
Let q(f) be the third derivative of -f**4/12 - 28*f**2. Let n(o) = 34*o**2. Determine n(q(t)).
136*t**2
Let n(g) = 2*g. Let h(c) = 3*c - 1 + 1 - 2*c. What is h(n(k))?
2*k
Let j(u) = -2*u. Suppose -2*b + 4 = r, r + 3*b + 1 = 3*r. Let x(z) b... | {
"pile_set_name": "DM Mathematics"
} |
-2*z + 1. Let x(l) = 10*l - 22. Calculate -c(w) - x(w).
-8*w + 21
Let w(b) = b**3 + 2*b**2 + 2. Let v(z) = z**3 - 21*z**2 + z + 6. Determine -v(l) + 2*w(l).
l**3 + 25*l**2 - l - 2
Let j(z) = -6*z**2 - 14*z + 32. Let i(d) = -2*d**2 - 5*d + 11. Let c(g) = -23*g + 63. Let w be c(3). Give w*j(q) + 17*i(q).
2*q**2 - q - 5
... | {
"pile_set_name": "DM Mathematics"
} |
3
Collect the terms in -2*t + 189 - 189 - 2*t + t.
-3*t
Collect the terms in 1610 + 10*p - 3218 + 1608.
10*p
Collect the terms in 68*o - 31*o + 12*o**2 - 37*o.
12*o**2
Collect the terms in -30*k**2 - 68*k**2 - 145*k**2.
-243*k**2
Collect the terms in 40*g**2 - 19*g**2 - 2*g - 23*g**2 + 2*g.
-2*g**2
Collect the terms in... | {
"pile_set_name": "DM Mathematics"
} |
- 2*n**2 + 0*n**3 - 1/85*n**5 + 0*n + 9 + 1/1020*n**6. Factor d(p).
2*p*(p - 3)**2/17
Let u(n) = -n - 1. Let f(s) = s + 83. Let h(c) = f(c) + 6*u(c). Let o be h(15). Factor -5/6*m**o + 15/2 - 20/3*m.
-5*(m - 1)*(m + 9)/6
Let d be 82 + (-3)/(-3 - (-36)/8). Let f = 86 - d. Factor f*c**2 + c - 3 - 6*c**3 - 4*c**3 - 3*c**... | {
"pile_set_name": "DM Mathematics"
} |
**2) + sqrt(448) + 2 + sqrt(448) + -1 + -3.
10 + 24*sqrt(7)
Simplify (((sqrt(525) - (5*sqrt(525) + sqrt(525))) + sqrt(21) + sqrt(21))*-2)/((sqrt(84) + -3*sqrt(84)*-4 - sqrt(84))/sqrt(12)).
23*sqrt(3)/6
Simplify 4 + 4*sqrt(325)*6*-4 + (-4*(4 + 3 + sqrt(325) + -3))**2.
160*sqrt(13) + 5460
Simplify (1 + -2 + 6*(1 + sqrt(8... | {
"pile_set_name": "DM Mathematics"
} |
9625
Find the second derivative of 336874*j**5 + 3*j - 80495 wrt j.
6737480*j**3
What is the second derivative of -3*d**5 - 79*d**4 - 20*d**3 - 1132*d + 18?
-60*d**3 - 948*d**2 - 120*d
Differentiate 2*d*w**4 - 3*d*w**3 - 22367*d - 169*w**4 wrt w.
8*d*w**3 - 9*d*w**2 - 676*w**3
Find the first derivative of 11*b*l + 1390... | {
"pile_set_name": "DM Mathematics"
} |
3. Give x(j(w)).
-22*w**2
Let q(v) be the second derivative of 2*v**4/3 - 4*v - 13. Let j(x) = -44*x. Calculate j(q(n)).
-352*n**2
Let c(r) be the third derivative of -2*r**4/3 + 5*r**2. Let p(g) = -15*g**2 - 22*g**2 + 15*g**2 + 20*g**2. Give p(c(o)).
-512*o**2
Let s(c) be the second derivative of c**7/1260 + 13*c**4/6... | {
"pile_set_name": "DM Mathematics"
} |
**3 + 6*p**2 - 6*p + 6. Let r(i) = -5*i**2 + 5*i - 5. Determine -5*d(b) - 6*r(b).
5*b**3
Suppose -2*f - 4*r = -18 - 2, -27 = -3*f - 5*r. Suppose 22 = 6*g - f*g. Let u(d) = -2*d**2 + 3*d - 4. Let v(b) = 6*b**2 - 8*b + 11. Calculate g*u(o) + 4*v(o).
2*o**2 + o
Let q(j) = -j**3 - j**2 - j - 1. Let a(y) = 3 + y**3 - 9*y**3... | {
"pile_set_name": "DM Mathematics"
} |
t y be k(-4). Let q = 12 - y. Factor 1/2*j + j**2 + 2*j**q - 7/2*j**3 + 0.
j*(j - 1)**2*(4*j + 1)/2
Let c(f) be the first derivative of -2*f**3/27 + 4*f**2/9 + 8*f/3 - 34. Suppose c(d) = 0. Calculate d.
-2, 6
Let i(y) be the first derivative of 3/20*y**6 + 3 + 3/5*y**5 + 3*y**2 + 0*y**3 + 1/70*y**7 + y**4 + 0*y. Let f(... | {
"pile_set_name": "DM Mathematics"
} |
76) + 0) + 1 + (sqrt(76) - ((1*sqrt(76) - sqrt(76)) + 3)) + 5)*3)**2.
1944*sqrt(19) + 25353
Simplify (5*(0 + 2*((sqrt(1088) - (-1 + sqrt(1088) - sqrt(1088) - sqrt(1088))) + -2 + sqrt(1088) + 0 + sqrt(1088) + -5 + -2)))**2.
-51200*sqrt(17) + 1747200
Simplify ((1*2*sqrt(95) - (sqrt(95) - -5*1*sqrt(95) - sqrt(95)))/((5*sq... | {
"pile_set_name": "DM Mathematics"
} |
of h(w) wrt w?
120*w**2
Let s(v) = v - 2. Let n be s(6). Let g be 3/(-12) - (-9)/n. Find the second derivative of -2*p**2 - p + p**g + 0*p wrt p.
-2
Differentiate 16 + 33 + 123*j**2 - 2 - 151*j**2 wrt j.
-56*j
Find the second derivative of 0*s**4 - 4*s**4 + 8*s**4 + s + 3*s wrt s.
48*s**2
Let s(c) be the second derivat... | {
"pile_set_name": "DM Mathematics"
} |
5 + v**4 - 7*v**5 + 3*v**5)*(-5 - 2 + 3).
4*v**5 - 4*v**4
Expand (2 - 5 + 0)*(1 + 5*u**5 - 1 + (-2*u + 5 - 5)*(u**4 - 2*u**4 - u**4)).
-27*u**5
Expand -9*v + 3*v - 16*v + (4 - 2 - 1)*(2*v + 3*v - 3*v).
-20*v
Expand (u + 3*u - 3*u)*(-2*u**3 + 5*u**3 - 2*u**3) + (33*u + 71*u - 62*u)*(-u**3 + 2*u**2 - 2*u**2).
-41*u**4
Ex... | {
"pile_set_name": "DM Mathematics"
} |
t r(b) = 11240*b. Calculate r(f(w)).
22480*w
Let x(p) = 12*p**3 - 2*p + 1. Let q be x(1). Let y(j) = 3 - 3 + 9*j - q*j. Let n(h) be the third derivative of -h**4/12 + h**2. What is n(y(u))?
4*u
Let k(s) = -6*s**2. Let o(z) = -3628*z + 1789*z + 1784*z. Give o(k(i)).
330*i**2
Let y(t) = 4*t**2 + 7*t. Let j(c) = -2*c**2 -... | {
"pile_set_name": "DM Mathematics"
} |
- 2*h**3 as j*h**3 + a*h**2 + y + l*h and give l.
1
Express 4*q**2 - 2*q**2 - 4*q**2 + (3*q**2 + 4*q**2 - 5*q**2)*(-22 + 10 + 15) in the form v*q + h*q**2 + i and give h.
4
Rearrange 1 + 4*f**4 - 4 - 3*f**3 + 5*f**3 - f**4 to d*f + l*f**2 + q*f**3 + r + c*f**4 and give r.
-3
Rearrange (-a - a + a)*(0*a**3 + 2*a**3 + 0*... | {
"pile_set_name": "DM Mathematics"
} |
*t. Determine q, given that j(q) = 0.
-10, 2/3, 1, 2
Suppose -x - 13 = -16. Suppose 0*q + 30 = 5*c + q, 0 = x*c + 3*q - 18. Determine t, given that c*t**2 + 6*t - t**4 - 22*t + 8*t + 3 + 0*t = 0.
-3, 1
Find u such that -2896*u - 2*u**4 - 380*u**3 - u**4 - 1258*u**2 - 1440 - u**4 - 574*u**2 = 0.
-90, -2, -1
Let m(w) = w... | {
"pile_set_name": "DM Mathematics"
} |
f**3 - 6*f + 18*f - 5*f - 7*f + (5*f - f - 2*f)*(0 + f**2 + 0) to the form g*f**3 + z*f + r + p*f**2 and give g.
-346
Express -5 + 1 + 116*p**3 - 182*p**3 + 112*p**3 + 3 + 2*p**2 as u*p**2 + j*p + x*p**3 + h and give j.
0
Rearrange (54*q - 21*q - 8*q + (-3 + 1 + 1)*(q - 2*q + 0*q))*(5 - 3 - 1) to a + p*q and give p.
26... | {
"pile_set_name": "DM Mathematics"
} |
+ a - 5. Let w be x(-4). Give v(w).
-5
Let x(k) = -1. Let t(r) = r**3 - r**2 - 2*r + 2. Let p = 612 - 614. Let i(f) = p*x(f) + t(f). What is i(3)?
16
Let b = 134180 - 134174. Let t(s) be the third derivative of -s**5/60 - 7*s**4/24 - s**3/3 - 2*s**2. Let a(j) be the first derivative of t(j). Give a(b).
-19
Let r(l) = -... | {
"pile_set_name": "DM Mathematics"
} |
- 5 + 4*g**4)*(-342 - 255 - 6) to the form r*g + b + s*g**2 + z*g**4 + n*g**3 and give z.
-2411
Rearrange -9 + 24*b**2 - 653*b**3 + 362*b**3 + 290*b**3 to the form z*b + i + k*b**2 + y*b**3 and give k.
24
Express 23*o**3 + 73*o**2 - 45 + 43 - 75*o**2 - 4*o + o in the form k + h*o + x*o**3 + j*o**2 and give j.
-2
Rearr... | {
"pile_set_name": "DM Mathematics"
} |
ivative of s(v). What is m in o(m) = 0?
-27, 0
Suppose -2*h + 12 = -0*h + 2*c, -3*c = -3*h - 6. Factor 2*f**2 - 11*f**h + 3*f**3 - 139*f + 133*f + 0*f**5 + 3*f**5 + 9*f**4.
3*f*(f - 1)*(f + 1)**2*(f + 2)
Let u = 115320/17 + -576532/85. Factor 0*r + 0 - 16/5*r**3 + 0*r**2 - u*r**4.
-4*r**3*(r + 4)/5
Let r(h) be the firs... | {
"pile_set_name": "DM Mathematics"
} |
*j*j)))/j))**24)**39 assuming j is positive.
j**(-2392/11)
Simplify (b**(-2/3)*b*b)**(4/17)*(b**6/b)**25 assuming b is positive.
b**(6391/51)
Simplify (b**(-1/2)/((b*b/((b/(b/(b**(7/3)/b)))/b*b))/b))/(b**2)**(2/53) assuming b is positive.
b**(-77/318)
Simplify (q**(-17/6)/q**(1/10))/(q**6)**15 assuming q is positive.
q... | {
"pile_set_name": "DM Mathematics"
} |
e.
q**(96/7)
Simplify (u*u**(-3))/(u*u*u*u*u**1*u)*(u*u/((u*u*u**0)/u))**(-3/32) assuming u is positive.
u**(-259/32)
Simplify (z**(-6)/(z*z**16))**(-30) assuming z is positive.
z**690
Simplify (l**37*l)/l**(7/3) assuming l is positive.
l**(107/3)
Simplify u**(1/8)/(u/u**0)*((((u*u**(1/4))/u)/u)/u)/u*u**(3/4) assuming ... | {
"pile_set_name": "DM Mathematics"
} |
2*o
What is the derivative of 481238*z**3 + 281546?
1443714*z**2
Find the second derivative of 1868*d**3 + 3*d**2 + 2*d - 18599.
11208*d + 6
What is the third derivative of 39*f*r**4 - f*r**2 - 22*f*r + 56*f + 3834*r**4 + r**3 - 2 wrt r?
936*f*r + 92016*r + 6
Find the third derivative of 60557*p**2*v**4 + 11*p**2*v - 1... | {
"pile_set_name": "DM Mathematics"
} |
d (-6 - 9 + 3)*(0*i + 0*i + 3*i).
-36*i
Expand (-3*h + 0*h - 3*h)*(12 - 5 - 3).
-24*h
Expand (-2 + 4 + 0)*(-a**2 - 4*a + 4*a) + (a + 0*a + 0*a)*(-a + a - 4*a).
-6*a**2
Expand (2*k**2 + 0*k**2 - k**2)*(10*k + 7 - 7)*(-5*k + 2*k + 2*k).
-10*k**4
Expand (93 - 93 - 4*i)*(2 - 2 + i) - 1 - i**2 + 1 + 2*i**2 - 2*i**2 + 2*i**2... | {
"pile_set_name": "DM Mathematics"
} |
s (-32 - -33)*p/1 composite?
False
Let a(s) be the second derivative of 373*s**5/10 - s**3/6 + s**2/2 + 14*s. Let z be a(1). Suppose z = 2*n - 0*n. Is n composite?
False
Let u = -37 - -55. Suppose 2*m - 11*m - u = 0. Is (-18692)/(-10) + -2 + m/10 composite?
False
Let c(s) be the second derivative of 0 + 11/12*s**4 + 7/... | {
"pile_set_name": "DM Mathematics"
} |
+ sqrt(605) + -4 - (sqrt(605) - (sqrt(605) + (sqrt(605) - sqrt(605)*3*6) + sqrt(605)) - 2*3*sqrt(605)))**2.
1320*sqrt(5) + 87148
Simplify ((2*sqrt(91)*6*4)/(sqrt(56)/(sqrt(648)*2 - sqrt(648))) + -2)**2.
-1728*sqrt(13) + 2426116
Simplify 5 + -2*(4 + (sqrt(80) + (-2 + sqrt(80) + 3)**2 + sqrt(80) - (4*(sqrt(80) - (sqrt(8... | {
"pile_set_name": "DM Mathematics"
} |
t**(2731/990)
Simplify (((y*y**12*y)/(y*y/y**11))/(y/(y*(y**1/y)/y))**(-1/26))**34 assuming y is positive.
y**(10183/13)
Simplify n**(-2/7)*(n/n**(-5)*n)/n*(((n*n/(n**0*n)*n*n)/n)/n)/n**2*((n/(n/n**(-1)*n))/((n*n/((((n/n**(3/7)*n)/n)/n)/n)*n)/n))**30 assuming n is positive.
n**(-1107/7)
Simplify (((s**(-1/3)/(s*s**(-1/... | {
"pile_set_name": "DM Mathematics"
} |
- 2812945*t + 5625972*t.
t
Collect the terms in -5*h**3 + 351644*h + 13*h**3 - 11*h**3.
-3*h**3 + 351644*h
Collect the terms in -5*y**2 - 10*y**2 - 4*y**2 + 7*y**2 + 3*y + 2*y**2 + 12*y**2.
2*y**2 + 3*y
Collect the terms in 389352*s - 895845*s + 506495*s.
2*s
Collect the terms in 4312*g**3 + 3037*g**3 + 2685*g**3 - 13... | {
"pile_set_name": "DM Mathematics"
} |
2645*r**3 + 2970*r**2 = 0. What is r?
-54, -11, 0, 1
Factor 3*h**2 - 117*h - 120.
3*(h - 40)*(h + 1)
Factor s**3/4 - 15*s**2/4 + 75*s/4 - 125/4.
(s - 5)**3/4
What is g in 5*g**3 + 50*g**2 + 145*g + 100 = 0?
-5, -4, -1
Factor -2*i**2 + 2630*i - 2628.
-2*(i - 1314)*(i - 1)
Factor -9*b**5 - 12*b**4.
-3*b**4*(3*b + 4)
Let... | {
"pile_set_name": "DM Mathematics"
} |
Simplify ((s/(s**(1/2)/s)*s)**(-26/7)*((s*s*s**(-3/7))/s)/(s/s**1))**39 assuming s is positive.
s**(-2379/7)
Simplify (m**8*((m**(-7)/m)/m)/m)/(m/m**(-35)*(m/(m**(-3/14)/m))/m*m) assuming m is positive.
m**(-563/14)
Simplify ((s/(s/s**26))/s)/s**(20/3)*s**(-3/20)/(s**(-34/5)*s) assuming s is positive.
s**(1439/60)
Simp... | {
"pile_set_name": "DM Mathematics"
} |
37*t + 22*t + 38 + 2*t + 0 + 0 + (t - t + 2*t)*(0 - 2 + 0).
-3*t + 38
Expand (-1893*h**2 + 1818*h**3 - 185*h**3 + 1893*h**2 + 504*h**3)*(-3*h - 3 + 3)*(2*h - h + 2*h).
-19233*h**5
Expand (-1 + q + 1)*(-4*q - q + 3*q) + (-12*q - 5*q + 2*q)*(-7*q + 11*q + 29*q).
-497*q**2
Expand (1236*u - 20852 + 20852)*(-4 + 0 + 3) + (... | {
"pile_set_name": "DM Mathematics"
} |
+ 4*c + 2. Calculate p*d(x) + u*b(x).
2*x**2 + x - 1
Suppose -2*j + 0*j = -10. Suppose -5*q + q = -5*g + 21, 0 = -5*g + j*q + 25. Let s(m) = -1. Let o(t) = -t - 4. Calculate g*o(d) - 6*s(d).
-d + 2
Suppose 2*l + s = 9, 3*l + 0*l = 4*s - 3. Let j(q) = -11*q**3 + 2*q**2 + 7*q - 5. Let n(u) = 2*u**3 - 3*u + 6*u + u**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
-2
Rearrange -841*r - 73 + 24 + 23 + 27 to t + j*r and give t.
1
Express -2 - 2*g**3 + 9*g**4 + 19*g - 2 - 1 - 14*g + 7 - 3*g**2 as p*g**3 + a*g**2 + y + l*g**4 + x*g and give x.
5
Express (-2*i + 3*i - 7*i)*(-692 - 280 - 436) in the form w + g*i and give g.
8448
Rearrange -916*t - 2 + 3 - 2013*t - 556*t to the form b... | {
"pile_set_name": "DM Mathematics"
} |
et s(h) = -31*h**3 - h**2 - 11*h - 11. Let u(x) = -6*x**3 - 2*x - 2. Let j be 277/(-1108) - (0 - 45/4). Calculate j*u(k) - 2*s(k).
-4*k**3 + 2*k**2
Let u(t) = -14*t**3 + 15*t**2 - 62*t - 2. Let m(y) = 26*y**3 - 28*y**2 + 123*y + 4. Determine 8*m(b) + 15*u(b).
-2*b**3 + b**2 + 54*b + 2
Let j be (1 + 25)/((-1342)/671). L... | {
"pile_set_name": "DM Mathematics"
} |
2?
91*o**3 - o**2 - 11*o + 12
What is the i'th term of -915, -903, -877, -831, -759, -655?
i**3 + i**2 + 2*i - 919
What is the l'th term of -48, -109, -182, -267, -364?
-6*l**2 - 43*l + 1
What is the i'th term of 2, 33, 122, 299, 594, 1037?
5*i**3 - i**2 - i - 1
What is the b'th term of 41, 14, -15, -34, -31, 6, 89?
2*... | {
"pile_set_name": "DM Mathematics"
} |
2 - 8*j - 6. Give -6*a(z) + 17*d(z).
-z**2 + z + 2
Let o(h) be the first derivative of -4*h**3/3 - 2*h + 462. Let d(p) = p**2 - 4. Let n be d(3). Suppose 4*l + n = 1. Let m(s) = -s**2. Give l*o(b) + 3*m(b).
b**2 + 2
Let w(u) = 22*u**2 - 6*u + 10. Let d = -28 - -32. Suppose 5 = m + d*n, 0*m + 5 = m + 2*n. Let f(k) = -7*... | {
"pile_set_name": "DM Mathematics"
} |
17*a**4/2 + 39*a**3/2 - 17*a**2/2 - 19*a = 0. Calculate a.
-2, -1, 0, 1, 19
Let n**5 - 810*n**4 + 7206*n**3 + 2432*n**2 - 23247*n + 14418 = 0. What is n?
-2, 1, 9, 801
What is v in -2*v**5 + 4660*v**4 - 41832*v**3 + 125388*v**2 - 125334*v = 0?
0, 3, 2321
Suppose 350*a**2 - 4036*a/3 - 720 = 0. What is a?
-10/21, 108/25
... | {
"pile_set_name": "DM Mathematics"
} |
/2 + 36*z**2 - 18*z = 0.
0, 6/11, 6
Factor -2*u**2/9 + 20*u/9 + 2128/9.
-2*(u - 38)*(u + 28)/9
Factor b**3/9 + b**2 - b/9 - 1.
(b - 1)*(b + 1)*(b + 9)/9
Factor q**4 + 20*q**3 + 81*q**2 + 90*q.
q*(q + 2)*(q + 3)*(q + 15)
Factor 3*w**3 - 171*w**2 + 150*w + 1008.
3*(w - 56)*(w - 3)*(w + 2)
Let -3*w**3/7 - 33*w**2/7 + 555*... | {
"pile_set_name": "DM Mathematics"
} |
2*g**2 + 9*g + 18. What is x(13)?
-34
Let c(p) = -2*p**3 - 14*p**2 + 27*p + 9. Give c(2).
-9
Let s(r) = -r + 54. Calculate s(4).
50
Let f(r) = r - 26. Calculate f(-9).
-35
Let y(r) = -r**2 + r - 3. Give y(-2).
-9
Let v(p) = p**3 - p**2 - 18*p + 1. Determine v(5).
11
Let u(j) = j**2 + 14*j - 11. Give u(-14).
-11
Let h(f... | {
"pile_set_name": "DM Mathematics"
} |
28*d**2
Let i(k) be the third derivative of 2*k**4/3 + 3*k**2. Let x(q) be the first derivative of 0*q + 1/3*q**3 + 0*q**2 + 4. What is i(x(v))?
16*v**2
Let i(t) = 15*t**2. Let q(c) = -503*c + 4. Give i(q(y)).
3795135*y**2 - 60360*y + 240
Let o(b) be the first derivative of -4*b**3/3 + 58. Let w(z) = -3*z**2 + 69. What... | {
"pile_set_name": "DM Mathematics"
} |
ermine z(p(d)).
-3*d**2
Let o(d) = 11*d**2 + 6*d. Let x(j) = -100*j**2 - 55*j. Let i(z) = -55*o(z) - 6*x(z). Let m(q) = -3*q**2. What is i(m(r))?
-45*r**4
Let l(x) be the second derivative of -5*x**3/6 - 5*x. Let y(w) = -w**3 + 9*w**2 - w + 11. Let g be y(9). Let p(b) = 2 + 11*b**2 - 2 - 13*b**g. What is l(p(k))?
10*k*... | {
"pile_set_name": "DM Mathematics"
} |
16)/sqrt(4) + (1*sqrt(294) - sqrt(6)))/((sqrt(33) - sqrt(528))/sqrt(11)*3).
4*sqrt(2)
Simplify (6*-5*(sqrt(396) + ((-1*sqrt(396) + sqrt(396))*5 - sqrt(396)) + sqrt(396) + sqrt(396))/((2*sqrt(576) - sqrt(576))*3 + sqrt(576))*3)**2.
22275/16
Simplify (-6*(5 + (3*(sqrt(162) + 1) - (-1 + sqrt(162))*1))*1 + 3)**2.
11016*sqr... | {
"pile_set_name": "DM Mathematics"
} |
5*c - 40*c + 8*c**2 - 35*c. Let x(h) = -7 + 7 - 2*h. Determine q(x(p)).
32*p**2
Let t(s) = -2*s**2. Let b(o) = 4*o**2 - 2*o**2 - 7*o**2 + 2*o**2. Let x(i) = -3*i**2. Let y(a) = 2*b(a) - 3*x(a). What is y(t(z))?
12*z**4
Let w(b) be the second derivative of b**4/3 - b. Let l(i) = -46*i + 0 - 32*i + 0 + 72*i. Calculate l(... | {
"pile_set_name": "DM Mathematics"
} |
763*s - 6754*s + 0 + 7).
-27*s**5 - 21*s**4
Expand (-1 + 3*y + 1)*(y - 4*y + 5*y + 1 - 1 + 3*y + 2*y - 1 + 1 + y + y - 4*y + (-y - 4*y + 4*y)*(3 - 4 + 3) - 3*y + y + 0*y - 2*y - y + 5*y).
9*y**2
Expand 3*o**2 - 2*o**2 + 0*o**2 + (4*o - 3*o + 9*o)*(5*o + o - 5*o) + 2*o**2 - 5*o**2 + 4*o**2.
12*o**2
Expand (-s**3 + s**4 ... | {
"pile_set_name": "DM Mathematics"
} |
of t**4/8 - t**3 + 9*t**2/4 - 2*t - 3. Solve j(v) = 0.
1, 4
Let h be (2 - (3 - -1)) + 9. Determine k so that 5*k**4 + 9*k**5 + 3*k**4 - 3*k**3 + 9*k**3 + h*k**4 = 0.
-1, -2/3, 0
Let u(c) = 5*c - 12. Let o(z) = z. Let b(i) = 6*o(i) - u(i). Let t be b(-10). Factor 1/5*v**t + 1/5 + 2/5*v.
(v + 1)**2/5
Let u(a) be the seco... | {
"pile_set_name": "DM Mathematics"
} |
*j/((j*j**5)/j))/(j*j**5*j*j*j**(1/11)*j)*((j**(-1/5))**(-43))**(-2/9) assuming j is positive.
j**(-10396/495)
Simplify ((y*y**(-2)*y**(2/49))/(((y*(y*y**(-6/13)*y)/y*y)/y*y)/(y*y*(((y**(-1/15)*y)/y)/y)/y*y*y)))**(-7) assuming y is positive.
y**(14947/1365)
Simplify (y/(y**22*y)*y*y)/(y**35/y)*(y**(-25))**17 assuming y... | {
"pile_set_name": "DM Mathematics"
} |
0*z**3 + 0 + 1/20*z**5. Let w(m) = 3*m. What is o(w(a))?
27*a**2
Let q(a) = -7*a**2 + 6*a**2 - 2*a**2. Let n(y) = -y. Calculate n(q(s)).
3*s**2
Suppose -2*g - 58 + 64 = 0. Let w(p) be the second derivative of 1/6*p**g + 0 + 0*p**2 - 3*p. Let k(n) = -3*n. Determine k(w(b)).
-3*b
Let r(g) = g. Let l(h) be the second deri... | {
"pile_set_name": "DM Mathematics"
} |
+ 2)/2
Determine t, given that 4 - 3*t**4 + 389*t + 3*t**2 - 4 - 18*t**3 - 371*t = 0.
-6, -1, 0, 1
Let f(w) be the third derivative of 2*w**7/105 - 2*w**6 - 62*w**5/5 - 94*w**4/3 - 42*w**3 + 445*w**2. Factor f(z).
4*(z - 63)*(z + 1)**3
Let n(o) be the third derivative of o**7/210 - 7*o**6/120 + o**5/4 - 13*o**4/24 + 2... | {
"pile_set_name": "DM Mathematics"
} |
+ 3 + 1) to the form i*m + r + g*m**2 and give i.
0
Rearrange -966*y + 3 - 3 - 1515*y - 432*y to the form z*y + m and give z.
-2913
Express 46*n**2 - 5 + 134*n**2 + 5 - 4*n - 43*n**2 as i*n**2 + q*n + c and give i.
137
Express 4*m**3 + 37 - 3*m**2 - 6*m**3 - 45 in the form h*m + c + j*m**2 + p*m**3 and give j.
-3
Rear... | {
"pile_set_name": "DM Mathematics"
} |
/105)
Simplify (s**(-4/7))**(-33) assuming s is positive.
s**(132/7)
Simplify ((n*n/n**0*n)/n*n*(n/n**3)/n)/(n/n**2*n**(-2/3)/n) assuming n is positive.
n**(8/3)
Simplify c**(2/3)*c/(c/c**(2/23))*(c/(c/c**(-2)))**30 assuming c is positive.
c**(-4088/69)
Simplify (g/(g*g**(1/4)))/g**(-5)*((g/(g**(-2/3)*g))/g)/g**(-1/2) ... | {
"pile_set_name": "DM Mathematics"
} |
-1)/(-1)*-1 - -3. Suppose 8 - 6 = k. Let t(m) = -3*m**2 - 4*m**2 + m**g + k*m**2. Let j(i) = 2*i. Calculate t(j(b)).
-16*b**2
Let j(g) = -g - 2. Let c(k) = 2*k + 5. Let u(p) = 4*c(p) + 10*j(p). Let i(m) = 20*m. Determine i(u(h)).
-40*h
Let r(q) = 5011*q. Let d(o) = 2*o**2. Determine d(r(n)).
50220242*n**2
Let m(r) = -1... | {
"pile_set_name": "DM Mathematics"
} |
9*o**5
Expand (-t**2 + t**2 + t**2)*(t + 0*t + 0*t)*(1 + 5 - 3)*(96 - 31 + 18).
249*t**3
Expand (152*x + 122*x - 243*x)*(2 + 4 - 3) - 3*x + 0*x + 2*x.
92*x
Expand (-1 + 0 + 3)*(11*g - 8*g - 11*g + (-1 + 2 - 3)*(2*g - 2 + 2))*(3*g + 0*g - 5*g).
48*g**2
Expand (-2*s + 4*s + 3*s)*(-1 + 0 + 10 + 2 - 1 - 3 + (-1 + 0 - 1)*(-... | {
"pile_set_name": "DM Mathematics"
} |
+ 7*c(r).
-r + 2
Let t(w) = 19*w**2 - 3*w. Let i(d) = 10*d**2 - d. What is 5*i(m) - 3*t(m)?
-7*m**2 + 4*m
Let g(f) = -6*f**3 + 24*f**2. Let d(a) = -3*a**3 + 12*a**2. Determine -9*d(m) + 4*g(m).
3*m**3 - 12*m**2
Let k(t) = 2*t - 1. Let f = 5 - 8. Let a = 24 + -29. Let l(h) = -h + 1. Let y(b) = b - 1. Let j(d) = 3*l(d) +... | {
"pile_set_name": "DM Mathematics"
} |
v(x)).
8*x**2 - 26
Let x(r) be the first derivative of 2*r**3/3 + 1. Let t = 246 - 244. Let y(j) = 36*j**t + 14*j - 12*j**2 - 14*j. Determine y(x(u)).
96*u**4
Let y(r) = r. Let c(x) = -6*x + 7. Let k(i) = -2*i + 2. Let j(o) = -o - 1. Let q be j(1). Let t(m) = q*c(m) + 7*k(m). Calculate y(t(f)).
-2*f
Let b(a) be the fir... | {
"pile_set_name": "DM Mathematics"
} |
t t(u) = 4*u**2 + 2*u**2 - u**2 - u**2. Let v(d) = -1. Let h be ((-24)/(-16))/(6/4). Let p(j) = j + 5. Let z(x) = h*p(x) + 5*v(x). Determine z(t(c)).
4*c**2
Let i(u) = -83*u. Let q(h) = h**2. Determine i(q(l)).
-83*l**2
Let c(j) = -4*j. Let v(m) = 40*m. What is c(v(h))?
-160*h
Let z(a) be the second derivative of 0*a**... | {
"pile_set_name": "DM Mathematics"
} |
+ 4*i).
4*i**4 + i**3
Expand (-4 + 1 + 4)*(-439*u + 439*u + 8*u**2).
8*u**2
Expand -4 + 2 - 3*k**2 + 2*k**2 - 56*k - 9*k**2 + 56*k + (2*k**2 + 3 - 3)*(-5 - 2 + 5) + 1 + 2*k**2 - 1 - 3*k**2 + 2*k**2 - k**2 + k - k + 2*k**2.
-12*k**2 - 2
Expand (3*w + w - 2*w)*(3*w**4 - 4*w**4 + 2*w**4 + (w + 2*w**3 - w)*(3*w + 2*w - 2*... | {
"pile_set_name": "DM Mathematics"
} |
5 - 3*i + 0.
20*i**2 - 3*i
Collect the terms in -21189*z + 10597*z + 69*z**3 + 10591*z.
69*z**3 - z
Collect the terms in -735*c - 2 + 359*c + 323*c + 3.
-53*c + 1
Collect the terms in -2785*v**2 - 1195*v**2 - 2203*v**2 + 1128*v**2.
-5055*v**2
Collect the terms in -33*o**2 - 45*o**2 + 65*o**2.
-13*o**2
Collect the terms... | {
"pile_set_name": "DM Mathematics"
} |
i(w) = -2*w. Determine -28*i(g) + 2*j(g).
-4*g - 4
Let w(t) be the first derivative of t - 48. Let y(u) = 6*u**2 - u - 6. Give -4*w(v) - y(v).
-6*v**2 + v + 2
Let r = -41 + 51. Let q(u) = u**2 + 2*u - 3*u + 1 + 0*u. Let p(s) = s**2 - 3 + 0*s + 2*s - 3*s**2. Calculate r*q(w) + 4*p(w).
2*w**2 - 2*w - 2
Let y(p) = p**2 + ... | {
"pile_set_name": "DM Mathematics"
} |
q) = -2*q**3 - 5*q**2 - 4. Give a*y(k) + b*f(k).
2*k**3 + 2*k**2 + 1
Let i(v) = 12*v**2 + 11. Let t(z) = 24*z**2 + z + 22. Determine -5*i(o) + 2*t(o).
-12*o**2 + 2*o - 11
Let r(g) = -7*g**2 - 5. Let a(n) = -4*n**2 - 129 + 244 - 117. Calculate -7*a(q) + 3*r(q).
7*q**2 - 1
Let i = 141 - 91. Suppose 0*k - i = -10*k. Let l... | {
"pile_set_name": "DM Mathematics"
} |
Let g(t) = 3*d(t) - 5*s(t). Find the second derivative of g(m) wrt m.
-12*m**2
What is the third derivative of -4*n**4 - 18*n**4 + 20*n**2 - 50*n**2 + n**2 wrt n?
-528*n
Let a(c) be the second derivative of -3*c**5/5 - 4*c**3/3 + 14*c. Find the second derivative of a(i) wrt i.
-72*i
Find the second derivative of -3*p ... | {
"pile_set_name": "DM Mathematics"
} |
and give m.
2
Express -3*n - 37 + 2*n**4 + 41 + 5*n + 2*n**2 as w*n**3 + j*n + t + d*n**2 + c*n**4 and give c.
2
Rearrange 2*t**4 - 2 - 2*t**2 - t**4 + 3 - 2*t**4 to n*t**2 + r + v*t + u*t**4 + i*t**3 and give r.
1
Rearrange (5 + l - 5)*(0 - 4 + 3) + 2*l + 0 + 0 + (-2 + 0 + 0)*(0*l + 0*l + 2*l) to the form m*l + t and ... | {
"pile_set_name": "DM Mathematics"
} |
0 + 3*q**2. Let s(v) be the third derivative of y(v). Let c(l) = -3*l**2. Give c(s(a)).
-3*a**2
Let s(u) = u. Let g(n) = -9*n**2 + 12*n**2 - n**2 + 11*n**2. Give s(g(f)).
13*f**2
Let a(g) be the third derivative of -g**5/60 - 2*g**2. Let s(v) = 12*v. Determine s(a(h)).
-12*h**2
Let s(p) = -4*p**2. Let m(l) be the first... | {
"pile_set_name": "DM Mathematics"
} |
22*y - 188
What is the third derivative of 660973101*a**6 + 186*a**2 - 2*a + 619126?
79316772120*a**3
What is the second derivative of 7*t**4 + 5626*t**3 - 282*t**2 - 1924541*t + 1?
84*t**2 + 33756*t - 564
Differentiate 49312*i*w + 84*i - 165411411*w with respect to i.
49312*w + 84
Find the third derivative of -982884... | {
"pile_set_name": "DM Mathematics"
} |
60. Let f(w) = -4*w**2 - 4*w + 7. Determine x*s(n) - f(n).
-n**2 - n - 2
Suppose -12*y + 9*y + 39 = 0. Let f(g) = 15*g**3 - 17*g**2 - 11*g + 13. Let v(k) = 7*k**3 - 8*k**2 - 5*k + 6. Calculate y*v(z) - 6*f(z).
z**3 - 2*z**2 + z
Let c(s) = 3*s**2 + 21*s**2 - 4*s**2. Let l(g) = 7*g**2. What is 4*c(a) - 11*l(a)?
3*a**2
Le... | {
"pile_set_name": "DM Mathematics"
} |
ive h.
0
Express -2*d**3 + 3*d**3 - 2*d**3 + 1519*d**2 - 1866*d**2 as r*d + y + u*d**2 + h*d**3 and give u.
-347
Express 873*m**3 - 365 + 942*m**3 + 367 in the form g*m**3 + h + w*m**2 + z*m and give h.
2
Rearrange (-g**3 + 3*g - 3*g + (-g**2 - g + g)*(2 + g - 2) + g**3 - 3*g**3 - g**3)*(-4*g + 3*g + 3*g) to w*g + q*g*... | {
"pile_set_name": "DM Mathematics"
} |
= 0.
-2, 0, 3, 10
Suppose 825*m**5 - 810*m**4 + 252*m**3 - 24*m**2 = 0. Calculate m.
0, 2/11, 2/5
Suppose 2*o**3 - 8*o**2 - 10*o = 0. Calculate o.
-1, 0, 5
Factor w**4 - 12*w**3 + 43*w**2 - 60*w + 28.
(w - 7)*(w - 2)**2*(w - 1)
Factor 2*s**4/5 + 34*s**3/5 + 32*s**2/5.
2*s**2*(s + 1)*(s + 16)/5
Factor 2*b**2/9 + 2*b/3 ... | {
"pile_set_name": "DM Mathematics"
} |
/5)*t/(t/(t**(-1)/t*t))) assuming t is positive.
t**(-131/5)
Simplify ((d**(2/7)*d*d/d**(2/5))/(d*(d/(d**(-2)*d))/d*d*d)**24)/((d*d**(-1/4))**(2/31)*(d**1)**(-2/11)) assuming d is positive.
d**(-2243323/23870)
Simplify ((o**17*o)/o*o**(-10)*o**(1/13)/(o/(o/(((o/(o*o/((o/(((o/o**21)/o*o)/o)*o)/o)))/o*o)/o))))**(-29/2) a... | {
"pile_set_name": "DM Mathematics"
} |
/69)
Simplify (y/(y/((y*y**(4/5)/y)/y)))**(-47) assuming y is positive.
y**(47/5)
Simplify (k**(-2/21)/k)/k*k**(-2/7)*k**3/(k/k**(1/8)) assuming k is positive.
k**(-43/168)
Simplify (b*b*b**(-2/23)*(b*(b*b*b**(-3/2))/b)/b)/((b**(-4)*b)/b*b*b/(b**(-5)*b)*b) assuming b is positive.
b**(-73/46)
Simplify (r/(r/(r/(r/(r/((r... | {
"pile_set_name": "DM Mathematics"
} |
(-3 + sqrt(2736))**2) + (-3*sqrt(2736)*6)**2).
-4923920 - 55488*sqrt(19)
Simplify (sqrt(75)*-3 + sqrt(3))*2 + 3 + (1 + -2*sqrt(75))**2*-4.
-1201 + 52*sqrt(3)
Simplify (1*(4*(sqrt(85) - sqrt(85)*2) + sqrt(85) + (sqrt(85)*2*5 - sqrt(85))))/((sqrt(45) + sqrt(225)/(sqrt(20)/sqrt(4)))/(sqrt(54)/(sqrt(18)/sqrt(3))))*4.
12*s... | {
"pile_set_name": "DM Mathematics"
} |
3 - 3 - 3*u)*(2*u + 2 - 2) in the form c*u**2 + b*u + m and give c.
-26
Rearrange (4*n**2 - n**2 - n**2)*(2 + 2 - 5) + (2 - 2 - 3)*(0*n + 3*n + 0*n)*(-5 + 1 + 5)*(-2*n - 2*n + 6*n) to the form f*n**2 + s*n + z and give f.
-20
Express -4*i - i - 5*i - i in the form m*i + t and give t.
0
Rearrange -19*h**2 + 37*h**2 - 15... | {
"pile_set_name": "DM Mathematics"
} |
+ 291)*(2 - 3 + 2)*(-2*j - 2*j + 5*j) + j + 0*j - 5*j as r*j + d and give r.
1534
Express 1116*k - 11*k**3 + 2 + 10*k**4 + 11*k**4 - 1122*k + 13*k**3 + 14*k**2 as t*k + b*k**4 + j + r*k**2 + s*k**3 and give j.
2
Rearrange (30 - 42 - 129)*(6 + 3 - 5)*(-4*g - 2*g**4 + 4*g) to the form s*g + v*g**4 + w*g**2 + r + y*g**3 a... | {
"pile_set_name": "DM Mathematics"
} |
)*(-v**2 - v**2 - 2*v**2)*(6 + 17 + 11).
272*v**3
Expand (-n - 5 + 5)*(5*n**2 + 1 - 1 + 2) + n**3 - 2 + 2.
-4*n**3 - 2*n
Expand (0 - 1 - 1)*(-d - 3*d + 2*d) - 2*d + 6*d - 3*d + (-4 + 2 + 1)*(2*d + 0*d - 3*d).
6*d
Expand (4*f - 6*f + 4*f)*(6 - 1 - 7).
-4*f
Expand -q**2 + q**2 + 2*q**2 - 3*q + 3*q + 2*q**2 - q**2 - 2 + 2... | {
"pile_set_name": "DM Mathematics"
} |
)/r*r*r))/r)**(2/59)/(((r/r**(5/3))/r)/(r*r/r**(-1/2))))**(-3) assuming r is positive.
r**(-1451/118)
Simplify (w**19/(w**(-3/14)*w*w))**10 assuming w is positive.
w**(1205/7)
Simplify ((h*h**(-6))/h*h*h*h*(h*h/(h*h/(h/h**7*h)))/h*h)/(h*(h**(-3/2)*h)/h)**(-10) assuming h is positive.
h**(-13)
Simplify u**(-1/4)/u**(-4)... | {
"pile_set_name": "DM Mathematics"
} |
f) = -1003*f**2 - 23*f - 45. Let i(b) = -167*b**2 - 4*b - 8. Give -6*g(p) + 34*i(p).
340*p**2 + 2*p - 2
Let f(l) = -l**3 + 9*l**2 - 7*l - 115. Let d(s) = -s**3 + 7*s**2 - 6*s - 113. Give -7*d(j) + 6*f(j).
j**3 + 5*j**2 + 101
Let v(p) = 40*p**2 + 67*p - 13. Let s(q) = -18*q**2 - 33*q + 5. Calculate 13*s(w) + 6*v(w).
6*w... | {
"pile_set_name": "DM Mathematics"
} |
*x**3 - 3/5*x**4 + 0*x**2 + 0.
-3*x*(x - 1)*(x + 2)**2/5
Factor -28/11*k - 98/11 - 2/11*k**2.
-2*(k + 7)**2/11
Let i(x) be the first derivative of 2*x**6/3 + 4*x**5/5 - 2*x**4 - 8*x**3/3 + 2*x**2 + 4*x - 14. Factor i(j).
4*(j - 1)**2*(j + 1)**3
Let j be (-13)/(-2) - 8/(-16). Solve 0*a**2 + 2*a**2 - 59*a**4 + a**2 - 28*... | {
"pile_set_name": "DM Mathematics"
} |
70*j**3
Collect the terms in -8307 - 8321 + 16628 + 1184*k**2.
1184*k**2
Collect the terms in -153586*p**3 + 2*p**2 - 153567*p**3 - 2*p**2 + 0*p**2 + 307119*p**3.
-34*p**3
Collect the terms in -112952*w - 112972*w - 112967*w + 338855*w.
-36*w
Collect the terms in -26*i - 251271*i**2 - 325363*i**2 - 20*i + 41*i.
-576634... | {
"pile_set_name": "DM Mathematics"
} |
*2 - 17437983*t.
232738190
What is the second derivative of -14649700*m**2 - 78*m + 43851 wrt m?
-29299400
Find the third derivative of 62684*c*j*y**4 + 1286*c*j*y + c*y**4 - 4*c*y + 3*j*y**3 + 36*j*y - 8*y**2 wrt y.
1504416*c*j*y + 24*c*y + 18*j
Find the third derivative of 3*n**6 - 4028452*n**5 - 128973*n**2 - 5*n + ... | {
"pile_set_name": "DM Mathematics"
} |
8
Simplify (2*sqrt(432))/(sqrt(225) + sqrt(225) + (1*sqrt(225) - sqrt(225))).
4*sqrt(3)/5
Simplify (-2 + sqrt(320))**2*6 - 4*sqrt(320)*2.
-256*sqrt(5) + 1944
Simplify -5*(-2*sqrt(448) + sqrt(448))**2 + sqrt(448) + 1 + -3 + 1.
-2241 + 8*sqrt(7)
Simplify (0 + sqrt(11))**2 + -4 + (sqrt(11) - (sqrt(11)*-2*4 + sqrt(11)))**2... | {
"pile_set_name": "DM Mathematics"
} |
) - 2*o**5 + 0*o**5 + 7*o**5.
11*o**5
Expand (26 - 8 - 8)*(-2*l**4 + l**4 + 0*l**4).
-10*l**4
Expand (-4*d**3 + 0*d**3 + 5*d**3)*(2 - 2 - 5*d) + 3*d**4 + d**4 - 2*d**4.
-3*d**4
Expand ((a - 2*a + 2*a)*(-3 + 4 + 1) - a + 1 - 1 + 5*a - a - 3*a)*(2 - 2 + a)*(1 + 1 - 3).
-2*a**2
Expand (2*n - 2 + 2)*(-3 - 2*n + 3)*(7*n + 2... | {
"pile_set_name": "DM Mathematics"
} |
**2 + r + l*m and give p.
56
Express (-4*s**3 - 5*s**2 + 5*s**2)*((-1 + 2 - 2)*(0 + 0 + 2) + 4 - 4 - 1 + 4 - 2 + 0) as c*s**3 + w*s + g + m*s**2 and give c.
4
Rearrange 3 + i**3 - 3 + 22*i**3 + 27*i - 27*i + (i - i - i)*(i**2 + 2*i**2 - i**2) to r*i + h*i**3 + y*i**2 + v and give h.
21
Express (-y - 1 + 1)*(-2 + 2 - 1)... | {
"pile_set_name": "DM Mathematics"
} |
d.
0
Express 65*b**3 - 132*b**3 - b**2 - b**4 + 68*b**3 - 16 + 0*b**2 in the form g*b**4 + f*b + h*b**3 + j + v*b**2 and give g.
-1
Rearrange 3*c**2 + 3*c**4 + 2 + 0*c**2 - 11*c**4 + 7*c**4 - 7*c**3 - 8*c**3 to the form s*c**4 + u + q*c + b*c**2 + k*c**3 and give s.
-1
Express (-49*p + 20*p**3 + 49*p)*(1 - 1 + p)*(6 + ... | {
"pile_set_name": "DM Mathematics"
} |
). What is the third derivative of j(n) wrt n?
420*n**2
Suppose 7 = 3*w - 5. Find the third derivative of -5*r**2 - 7*r**4 + 2*r**4 + 4*r**w wrt r.
-24*r
What is the third derivative of -22*g**3 - 357*g**2 + 293*g**2 - 5*g**3 wrt g?
-162
Let k(n) = n - 7. Let w be k(7). Find the second derivative of w - 2*b - b**5 + 0 ... | {
"pile_set_name": "DM Mathematics"
} |
*g**3 + 2*g**3 + 0*g**3 - 28*g**3 - 3*g**3 - 15*g**3 + 4*g**3 - g**3 - g**3 + (-3*g + g + 4*g)*(3*g - 3*g - 9*g**2).
-60*g**3
Expand -16 + 16 + 202*f**2 + (-2*f + 3*f - 4*f)*(f - 5*f + 2*f).
208*f**2
Expand -4 - 2*o**2 + 4 - o**2 - 2*o**2 + 2*o**2 + (-o - 3*o + 2*o)*(-2*o - 2*o + 5*o) + 8*o**2 - 1073812*o + 536744*o + ... | {
"pile_set_name": "DM Mathematics"
} |
3 - 4*l**2 + 4*l + 1. Determine i(4).
17
Let c(l) = -l**2 + 9*l + 21. Calculate c(9).
21
Let x(z) = 7*z**3 - 2*z**2 + 2*z + 4. Calculate x(-2).
-64
Let s(v) = 6*v + 10. Determine s(-3).
-8
Let r(t) = -8*t + 6. Determine r(2).
-10
Let n(b) = -b**2 + 8*b + 7. Determine n(8).
7
Let r(v) = 3*v. Calculate r(-5).
-15
Let r(y... | {
"pile_set_name": "DM Mathematics"
} |
ve.
d**(-1252/105)
Simplify (x*x/(x*(x/x**38)/x)*x*x*x)**(-1)*x**13/x**42 assuming x is positive.
x**(-71)
Simplify ((c**(3/7)/c**(-17))/(c**(-9)*c**22))**(2/3) assuming c is positive.
c**(62/21)
Simplify (a**(-2/7))**5/(a**1)**(-2/29)*a**(-5)/a*a*(a**0/a)/a*(a**(2/3))**(-8) assuming a is positive.
a**(-8339/609)
Simpl... | {
"pile_set_name": "DM Mathematics"
} |
= 3*f**2 + 363*f + 10988. Determine a(-64).
44
Let j(g) = -g**3 + 11*g**2 + 189*g - 1846. Calculate j(14).
212
Let f(a) = -7*a**2 + 232*a - 198. Calculate f(26).
1102
Let i(a) = -2590*a + 125205. What is i(48)?
885
Let k(i) = 488*i + 149957. Give k(-307).
141
Let y(m) = m**2 + 755*m + 9645. What is y(-13)?
-1
Let z(r) ... | {
"pile_set_name": "DM Mathematics"
} |
terms in 6*f - 4 - f + 32 - 28.
5*f
Collect the terms in 0*h**3 + 751*h - 2*h**3 + 4 - 34*h.
-2*h**3 + 717*h + 4
Collect the terms in 33*w + 2468 - 2468 - 30*w.
3*w
Collect the terms in -712*i**2 - 546*i**2 + 1262*i**2.
4*i**2
Collect the terms in 159*v - 24*v - 1 + 117*v.
252*v - 1
Collect the terms in -4*b**3 - 10*b*... | {
"pile_set_name": "DM Mathematics"
} |
*z - 53*z + 33*z**2).
-99*z**3
Expand (c + 3*c - c)*(-35*c - 71*c - c).
-321*c**2
Expand -8*i**2 - 7 - 13*i + 15*i - i + (-2*i + 4*i + 0*i)*(-2*i + i - i).
-12*i**2 + i - 7
Expand 3*t**3 + t**3 - 2*t**3 - 2*t**3 + 2*t**3 - 2*t**3 + (3 - t - 3)*(2*t - 2*t - t**2) - 15*t**2 + 18*t**2 - 3*t**2 + 897*t**3 - 233*t**3.
665*t... | {
"pile_set_name": "DM Mathematics"
} |
the first derivative of 323*n*v**3 - 2*n + v**4 - 282 wrt v?
969*n*v**2 + 4*v**3
What is the first derivative of 2*b*v*w + 201*b*w + v*w - 23*v + 12*w wrt b?
2*v*w + 201*w
Find the second derivative of b**3*l**2*q**2 - b**3*l**2 + b*l**2 - 6*b*l*q - 3*b*q - 15*l**2*q**2 - q**2 wrt q.
2*b**3*l**2 - 30*l**2 - 2
What is t... | {
"pile_set_name": "DM Mathematics"
} |
?
4
Let p(i) = -i + 10. Let g be p(3). Let d(j) = 37*j**2 - 22*j**2 + j**3 - g - 15*j**2. Determine d(0).
-7
Suppose -5*o + 8*o + 18 = 0. Let u(d) = d**3 + 5*d**2 - 8*d + 1. Calculate u(o).
13
Let b(r) = r**2 - 7*r - 11. Let t be b(8). Let s(h) = h**3 + 2*h**2 - 2*h. Give s(t).
-3
Suppose -4*m + 23 = 3*d, d - 3 = 2. Le... | {
"pile_set_name": "DM Mathematics"
} |
e k.
5
Rearrange (-2 + 2 - 1)*(-2*p + 2 - 2)*(-2*p + 9*p + 15*p) to the form i*p + h*p**2 + z and give h.
44
Rearrange 9*z**2 + 2*z + 2*z**3 - 9*z**2 + 2 + 2*z**4 + 9*z**3 to g*z**3 + j*z**4 + t + p*z**2 + a*z and give j.
2
Express (0*w + 0*w - w**2)*(17*w**2 + 2*w**2 + w**2) in the form i + k*w**2 + o*w**4 + r*w**3 + ... | {
"pile_set_name": "DM Mathematics"
} |
9
Simplify 5 + (2 + (-3*sqrt(68))**2 + sqrt(68) - sqrt(68)).
619
Simplify -2 + ((sqrt(78) + (-1*sqrt(78) - sqrt(78)))/sqrt(6) + sqrt(13) + sqrt(13) + sqrt(13) + -4*(sqrt(13) - sqrt(52)/sqrt(4)))**2.
50
Simplify sqrt(19) + 5 + sqrt(76)/sqrt(4) - (sqrt(19) - -5*(-2*sqrt(19))**2).
-375 + sqrt(19)
Simplify ((sqrt(20)*-3)/s... | {
"pile_set_name": "DM Mathematics"
} |
) = -3*t + 3. Let q be u(5). Let v be f(q). Let g be 1*(v - (3 + -2)). Calculate i(g).
5
Suppose 14*r - 26*r = -36. Let i(n) = n**3 + 2*n**2 - 2*n + 3. Calculate i(r).
42
Let g(v) = -13*v + 2. Let q = 6 - -6. Let t be (-2 - 3)*q/20. Let h(d) = -d + 1. Let r(m) = t*h(m) + g(m). What is r(1)?
-11
Let l(k) be the first de... | {
"pile_set_name": "DM Mathematics"
} |
3
Collect the terms in 9*l + 15*l + 11*l - 36*l.
-l
Collect the terms in -4*j + 17 + 7 - 24.
-4*j
Collect the terms in -2*r**2 - 3*r**3 + 2*r**2.
-3*r**3
Collect the terms in -1120*h**2 - 6 + 1119*h**2 + 1 + 5.
-h**2
Collect the terms in 2 - 3*y - 2 + 9*y.
6*y
Collect the terms in -4*y**3 + 3*y**2 - 2*y**2 + 2*y**3.
-2... | {
"pile_set_name": "DM Mathematics"
} |
- 5*o(v). Give b(m(i)).
25*i**2
Let m(i) = -21*i**2 - 21. Let o(f) = f. What is o(m(a))?
-21*a**2 - 21
Let c(s) = -19*s**2. Let o(t) = 21*t**2. What is c(o(q))?
-8379*q**4
Let h be 1/(2 - (-3)/(-2)). Let x(i) = -h*i**2 + 2*i**2 + 3*i**2. Let y(o) = -o**2 - 2*o**2 + 9*o**2 - 4*o**2. Calculate y(x(n)).
18*n**4
Suppose -5... | {
"pile_set_name": "DM Mathematics"
} |
**2*w + 9*n**2*x - 23*n*w**3*x + 3*n*w**3 - 152*n*w**2*x + 3*w**2*x wrt w.
-2868*n**2 - 138*n*x + 18*n
What is the third derivative of 566675*y**4 - 7*y**2 - 9*y + 7 wrt y?
13600200*y
Find the second derivative of -324*m**4 - 356*m**2 + 45*m - 12343.
-3888*m**2 - 712
What is the second derivative of -257*k*v**4 + 4*k*v... | {
"pile_set_name": "DM Mathematics"
} |
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