 1
Let k(t) = 12*t**2 - 3*t. Let s(p) = 51*p. Determine k(s(g)).
31212*g**2 - 153*g
Let k(z) be the first derivative of z**3/2 - 7*z + 7. Let m(d) be the first derivative of k(d). Let u(n) = -12*n + 12*n - 6*n. What is m(u(g))?
-18*g
Let s(f) = -4624*f. Let w(k) = 2*k**2. Give w(s(q)).
42762752*q**2
Let r(i) = -1 + 1 + 0 - i**2. Let k(w) be the second derivative of w**4/4 - 23*w. Determine r(k(t)).
-9*t**4
Let t(f) = f. Suppose 0 = 6*d - 2*d. Let x = -38 - -104. Let l(k) = 0*k + 68*k**2 + d*k - x*k**2. What is t(l(h))?
2*h**2
Let z be (-224)/(-35) - (-2)/(-5). Let r(a) = 286 + z*a - 4*a - 286. Let k(l) = -l. What is r(k(c))?
-2*c
Let r = -10 + 10. Suppose r = -6*m + m + 15. Let s(p) = -m*p**2 - 8 + 0 + 8. Let o(w) = -2*w. Give s(o(q)).
-12*q**2
Let d(p) be the third derivative of -p**4/24 + p**2. Let r(v) be the second derivative of 0*v**2 + 0 + 2/3*v**4 + 0*v**3 - 33*v. What is d(r(z))?
-8*z**2
Let q(n) = -1305*n. Let r(k) = 289*k. What is r(q(u))?
-377145*u
Let s(d) = 375744*d. Let b(m) = -3*m**2. Give s(b(c)).
-1127232*c**2
Let l(j) = -3*j. Let n(b) be the second derivative of b**3/3 - 33*b**2/2 + 26*b. Calculate n(l(u)).
-6*u - 33
Suppose 0 = 3*m - 3*d - 2 - 13, 20 = m - 4*d. Let k(o) = m*o - 9*o + 14*o. Let a(l) be the third derivative of -l**5/60 - 2*l**2. Calculate k(a(p)).
-5*p**2
Let d(s) be the third derivative of s**6/360 + 25*s**3/6 + 23*s**2. Let r(y) be the first derivative of d(y). Let c(f) = 11*f**2. Calculate c(r(p)).
11*p**4
Let u(c) = -c. Let m(r) = 12*r**2 - 12*r + 12. Let s(b) = -11*b**2 + 10*b - 10. Let v(n) = -5*m(n) - 6*s(n). Calculate v(u(f)).
6*f**2
Suppose -y - 3*w - 11 = 0, 0 = -5*y - 3*w + 2 + 3. Suppose y = c + c. Let x(a) = -2 - a**2 + c + 5*a**2. Let m(p) = 3*p. Calculate m(x(l)).
12*l**2
Let p(l) = l**2 - 4*l - 2. Let k(z) = -z**2 + 6*z + 3. Let d(t) = 2*k(t) + 3*p(t). Let o(h) = 9*h. Calculate o(d(f)).
9*f**2
Let z(b) = -b**2. Let n(t) = 343211*t**2. Calculate n(z(j)).
343211*j**4
Let v(z) be the second derivative of z**4/6 + 51*z. Let h(q) be the first derivative of -10*q**2 - 1. What is h(v(d))?
-40*d**2
Let d(o) = -29*o**2 - 4. Let s(f) = -3*f**2 + 8. Let q(u) = u**2 - 3. Let z(h) = 8*q(h) + 3*s(h). Give d(z(t)).
-29*t**4 - 4
Let i(f) be the third derivative of f**5/30 - 2*f**2. Let n(o) = -556*o + 1107*o - 550*o. What is n(i(y))?
2*y**2
Let r(s) = 11*s - 257. Let x(y) = 24*y - 512. Let i(b) = 13*r(b) - 6*x(b). Let j(o) = -o**2. Determine i(j(p)).
p**2 - 269
Let o(p) = 4*p**2. Let c = -19 + 30. Let i(v) = -10*v - 3*v + 29*v - c*v. Determine o(i(g)).
100*g**2
Let n(v) be the third derivative of -v**4/12 - 441*v**2. Let h(d) = -713*d. Determine n(h(g)).
1426*g
Let j(d) = d**2 + 5*d + 5. Let m(s) = s + 1. Let q(r) = j(r) - 5*m(r). Let g(b) be the second derivative of -17*b**3/6 - 6*b + 1. What is q(g(v))?
289*v**2
Let n(q) = -17*q + 1. Let d(r) = -2*r - 1. Let l(w) = -2*d(w) - n(w). Let y(u) = 3*u**2. What is y(l(j))?
1323*j**2 + 126*j + 3
Let d(i) = -31*i**2 + 4. Let r(v) = -33*v - 5. Let l(u) = 13*u + 2. Let g(s) = 5*l(s) + 2*r(s). Give g(d(y)).
31*y**2 - 4
Let q(a) = -18*a**2 - a. Let b(k) = 3*k + 64. Let c be b(-19). Let r(p) = c*p + 2*p**2 - 6*p - p. Determine q(r(g)).
-72*g**4 - 2*g**2
Let h(x) = -685896*x. Let r(s) = -s. Calculate r(h(m)).
685896*m
Let j(h) = h. Let k(b) = -b - 5817. Give k(j(i)).
-i - 5817
Let o(y) be the third derivative of y**4/24 + 221*y**2 + 2*y. Let m(w) = -632*w + 1. What is o(m(l))?
-632*l + 1
Let y(c) be the first derivative of -c**4/4 - c + 1. Let s(v) be the first derivative of y(v). Let u(p) = -p**2. Determine s(u(z)).
-3*z**4
Let u(l) = -144*l + 282*l - 155*l. Let g(h) be the first derivative of 1 - 3*h**2 + 2*h**2 + 0. Give u(g(o)).
34*o
Let a(l) = 42*l**2. Let o(f) be the first derivative of 19*f**3/3 + 56. Give a(o(s)).
15162*s**4
Let p(o) = -o**2. Let u(h) = 14698*h - 1. Determine p(u(t)).
-216031204*t**2 + 29396*t - 1
Let p(y) = 8*y**2 - 5*y + 10. Let v(a) = -3*a**2 + 2*a - 4. Let b(r) = -2*p(r) - 5*v(r). Let u(h) = 11*h - 2*h + 19*h. Give u(b(g)).
-28*g**2
Suppose -3*f + 4*m = 2*f - 34, 2*f + 4*m - 8 = 0. Let k(l) = 11*l + 7*l - f*l. Let v(b) = -3*b. Give k(v(t)).
-36*t
Let m(s) = -4*s. Let v(n) = -698971*n. What is v(m(k))?
2795884*k
Let v(m) = -33*m**2 - 1. Let u(x) = -2*x - 56. Give u(v(s)).
66*s**2 - 54
Let v(z) = 330*z**2 - 326*z**2 - 2*z + 2*z. Let g(q) = 2*q**2. Calculate g(v(m)).
32*m**4
Let k(o) = -304*o. Let h(u) = -3*u**2 + 2. Calculate h(k(n)).
-277248*n**2 + 2
Let r(s) = -97*s. Let p(t) = 55*t**2. Give p(r(v)).
517495*v**2
Let u(w) = -2*w**2 + 2. Let s(f) = -4*f**2 + 5. Let l(a) = -2*s(a) + 5*u(a). Let p(r) = -437*r. Determine l(p(b)).
-381938*b**2
Let j(p) = 2*p**2. Let o(n) = 2*n**2 - 1086. Give j(o(d)).
8*d**4 - 8688*d**2 + 2358792
Let a(g) = 11*g. Let u(p) = p**2 - p - 10. Let f be u(4). Let i = 16 + -9. Let v(j) = 3*j - f*j - 6*j + i*j. Calculate a(v(y)).
22*y
Let k(g) = 2*g**2. Suppose -11 = -3*p + 5*w, 4*p = -w - 3*w + 4. Suppose -5*i - p*y = -y - 2, -5*y + 10 = 4*i. Let o(d) = i + 3 + 6*d - 3. Give k(o(u)).
72*u**2
Let g(z) = 5994*z - 13. Let r(a) = -a. Give g(r(m)).
-5994*m - 13
Let h(f) = -4*f - 84. Let q(g) = 74*g. What is h(q(j))?
-296*j - 84
Let q(v) = -21*v**2 + 12*v. Let h(c) = 440 + c - 440. Give q(h(w)).
-21*w**2 + 12*w
Let r(v) = -v**3 - 4*v**2 - v - 7. Let g be r(-3). Let c = g - -15. Let a(t) = 5*t - 4*t - c*t. Let p(x) = 2*x. Calculate a(p(b)).
-2*b
Let p(l) = -2*l**2. Let k(h) = -27*h**2 - 24*h. Let x(t) = -5*t + t**2 - 6*t + 12*t + 0*t**2. Let q(y) = -3*k(y) - 72*x(y). Give q(p(n)).
36*n**4
Let z(l) be the second derivative of l**3/3 - 8*l. Let d(c) = 32*c. What is d(z(p))?
64*p
Let x(a) = 2555*a. Let l(j) = -240*j. Determine x(l(r)).
-613200*r
Let c(b) be the third derivative of 41*b**4/12 - 5*b**3/6 + 4*b**2. Let h(p) = -41*p + 3. Let y(r) = -3*c(r) - 5*h(r). Let l(t) = t**2. What is l(y(s))?
1681*s**2
Let u(t) = -t**2 - 170*t + 10. Let n(q) = 437*q. Give n(u(w)).
-437*w**2 - 74290*w + 4370
Let x(m) = -12*m + 6. Let p be x(-2). Let u(s) = -26*s + 49*s - p*s. Let l(j) = -4*j. Determine l(u(k)).
28*k
Let p(y) = -8389*y. Let t(i) = -22*i**2. Determine t(p(g)).
-1548257062*g**2
Let g(w) = 147*w + 14. Let m(b) = 48*b + 4. Let t(s) = 2*g(s) - 7*m(s). Let y(f) = -5*f. What is t(y(p))?
210*p
Let l(m) be the third derivative of m**4/6 - 8*m**2. Let b = -9 + 13. Let j(a) = b*a - 4*a - 4*a. Determine l(j(h)).
-16*h
Let v(p) = -2*p**2. Let b(r) = 608*r**2 + 95*r - 380. Let w(c) = -19*c**2 - 3*c + 12. Let t(o) = -3*b(o) - 95*w(o). Calculate t(v(k)).
-76*k**4
Let a(o) = -o**2. Let q(t) = 520004*t**2. Calculate a(q(i)).
-270404160016*i**4
Let n(p) = 2*p**2. Let t(f) = 181029*f. Give n(t(a)).
65542997682*a**2
Let k(m) = -1. Let t(d) = -5*d - 6. Let w(p) = 6*k(p) - t(p). Let v(u) = 9*u. Give v(w(r)).
45*r
Let q be -1 + -3 + 3 + 5. Let d(c) = -c**3 - 2*c**2 + 3*c + 4. Let k be d(-3). Let g(j) = 0*j - q*j + j + k*j. Let a(r) = 3*r. Give g(a(n)).
3*n
Let f(l) = 5452*l. Let t(n) = 56*n - 2. Calculate t(f(i)).
305312*i - 2
Let k(w) = -504*w**2 + 174*w**2 + 221*w**2 + 184*w**2. Let s(q) = -5*q. Determine s(k(p)).
-375*p**2
Let o(k) be the first derivative of 0*k - 1/3*k**3 - 6 + 0*k**2. Let x(d) = 5*d + 2. Let i(f) = -6*f - 3. Let a(q) = 2*i(q) + 3*x(q). What is o(a(t))?
-9*t**2
Let k(z) = -2084*z. Let g(l) = -19*l. Determine k(g(m)).
39596*m
Let x(a) = -4*a. Let m(v) = 10*v + 6. Let k(y) = -y + 1. Let q(w) = 5*w - 8. Let z(c) = -35*k(c) - 5*q(c). Let u(p) = 5*m(p) - 6*z(p). Determine u(x(j)).
40*j
Let g(k) = -2*k**2. Suppose j - 21 = 2*j. Let y be (4/(-6))/(7/j). Let l(z) = y*z + 2*z + 4*z - 2*z. Determine g(l(h)).
-72*h**2
Let v(r) = -2761*r. Let j(x) = -26*x. What is j(v(u))?
71786*u
Let v(t) = -10*t + 0*t - 3*t + 7*t + 7*t. Let i(w) be the second derivative of 8*w**4/3 + w. Give v(i(o)).
32*o**2
Let u(y) be the second derivative of y**4/6 - 46*y**2 - 24*y + 4. Let b(h) = -2*h**2. What is b(u(w))?
-8*w**4 + 736*w**2 - 16928
Let r be 1 - (-2)/(4/10). Let z = -562 - -564. Let k(n) = 5*n - r*n - z*n. Let x(t) = 2*t**2. What is k(x(g))?
-6*g**2
Let s(z) = 5150*z + 2*z**2 - 2572*z - 6*z**2 - 2578*z. Let b(g) be the third derivative of 0*g**3 - 1/30*g**5 + 0*g**4 + 0 + 0*g - g**2. Calculate b(s(h)).
-32*h**4
Let v(t) = 131*t**2 - 82*t - 5. Let p(i) = 