- 203*y - 812. Let x(z) = 203*u(z) + 6*w(z). Give d(x(g)).
754*g**2
Let i(v) = 164*v**2. Let l(z) be the second derivative of 23*z**3/6 + 6*z + 1162. Give l(i(x)).
3772*x**2
Let u(m) = m**2. Let t(s) = 6719*s + 128. Let z(n) = 16909483*n + 322128. Let c(y) = -20133*t(y) + 8*z(y). What is u(c(p))?
5004169*p**2
Let n(l) = -336*l**2. Let u(t) = 19502*t - 39004*t + 19498*t. Calculate n(u(d)).
-5376*d**2
Let t(z) = 2*z. Let s(w) = 2*w**2 + 9*w + 2. Let p(g) = 4*g**2 + 11*g + 3. Let b = 306 + -309. Let x(q) = b*s(q) + 2*p(q). What is t(x(d))?
4*d**2 - 10*d
Let r(y) = -3*y + 6. Let p(k) = -k + 1. Let i(n) = 6*p(n) - r(n). Let w(f) = -218*f + 1076*f + 2 - 247*f - 228*f - 237*f - 205*f. Give w(i(d)).
177*d + 2
Let p(f) = -f. Let u(r) be the first derivative of -r**6/180 + 155*r**4/12 - 260*r**3/3 - 311. Let q(t) be the third derivative of u(t). What is p(q(y))?
2*y**2 - 310
Let c(x) = -956*x + 1919*x - 957*x. Let q(k) be the third derivative of -5*k**4/24 + k**3/2 + 18*k**2 - k. Calculate c(q(h)).
-30*h + 18
Let p(u) = 3*u**2. Let b(i) = 3 + 6656*i - 3 - 3298*i - 3329*i. Determine p(b(w)).
2523*w**2
Let n(y) = 587 - 34*y - 788 + 201. Let u(k) = -11*k**2 + 3. Determine n(u(d)).
374*d**2 - 102
Let q(j) = -3*j. Let w = -74 - -170. Let g(d) = 89*d - 181*d + w*d. Determine q(g(t)).
-12*t
Let b(l) = 150*l**2. Let f(w) be the first derivative of -13*w**2/2 + 218. Calculate b(f(n)).
25350*n**2
Let o(l) = 23*l**2 - l**2 + 4 - 4 + 54*l**2. Let s(y) be the first derivative of 2*y**3/3 + 33. What is o(s(u))?
304*u**4
Let h(c) = c**2 + 5. Let m(k) = 2*k**2 + 8. Let v(d) = 14*d - 78. Let o be v(5). Let g(i) = o*h(i) + 5*m(i). Let b(y) = 7*y. Calculate g(b(r)).
98*r**2
Let q(n) = n. Let m(a) = a + 1. Let c(h) = h**3 + 6*h**2 + 6*h + 6. Let p be c(-5). Let k be m(p). Let j(i) = -k*i + 28 - 28. Determine j(q(t)).
-2*t
Let x(l) = -245*l**2 - 3. Let z(y) = 13465*y. Determine x(z(v)).
-44420025125*v**2 - 3
Let b(w) be the first derivative of w**2 + 1. Let i(s) be the first derivative of -10*s**3/3 + s + 2974. Determine b(i(y)).
-20*y**2 + 2
Let k(y) = -8397579*y. Let m(q) = 4*q**2. Determine m(k(i)).
282077332244964*i**2
Let u(w) = 3*w. Let d(a) = 1842785*a. What is u(d(z))?
5528355*z
Let u(c) = -179*c - 8. Let d(b) = 24*b**2 - 33*b + 561. Let i(f) = 3*f**2 - 4*f + 68. Let h(o) = 4*d(o) - 33*i(o). Give h(u(y)).
-96123*y**2 - 8592*y - 192
Let r(i) = -2*i**2 + 1. Let x(h) = -390*h + 7. Let k be x(-2). Let y(j) = k - 2*j - 787. Determine r(y(p)).
-8*p**2 + 1
Let c(b) be the first derivative of 0*b + 1/2*b**2 + 0*b**3 + 7/12*b**4 + 6. Let q(j) be the second derivative of c(j). Let y(f) = f**2. Determine y(q(x)).
196*x**2
Let g(s) be the second derivative of -29*s**3/6 - 5*s**2/2 + 139*s. Let p(m) = -1. Let q(i) = -g(i) + 4*p(i). Let n(j) = -2*j**2. Determine q(n(w)).
-58*w**2 + 1
Let x(w) = -23*w**2. Let d(i) = -i**3 - 9*i**2 - 11*i - 6. Let t be d(-8). Let b = -15 + t. Let v(a) = -5*a - 2*a + 3*a + b*a. What is x(v(o))?
-23*o**2
Let h(y) = -34*y**2. Let d(z) be the third derivative of 41*z + 0*z**3 + 0*z**4 + 1/60*z**5 - 2*z**2 + 0. Give d(h(s)).
1156*s**4
Let m be (-23 - -3 - -20)*3/9. Let o(i) be the third derivative of m*i**3 + 0*i + 0 + 17/12*i**4 + 32*i**2. Let k(v) = v**2. Determine o(k(x)).
34*x**2
Let c(v) = -2*v - 1. Let g(r) = 2*r**2 + 6*r + 3. Let p(b) = -3*c(b) - g(b). Let z(l) = l. Let q(j) = 2*j - 1. Let s(d) = -5*q(d) + 4*z(d). Give p(s(k)).
-72*k**2 + 120*k - 50
Let r(k) = -714364*k. Let l(b) = 22*b**2. Calculate r(l(j)).
-15716008*j**2
Let m(i) = 18*i**2 - 17*i**2 + 0*i**2. Let f(h) = -1604*h**2. What is m(f(o))?
2572816*o**4
Let k(r) = -2*r. Let y(x) = 2*x**2 - 6*x - 17288. Determine k(y(l)).
-4*l**2 + 12*l + 34576
Let f(a) be the second derivative of -a**4/3 - 5*a. Let j(q) = 10*q + 11. Let b(l) = -23*l - 35. Let o(g) = -b(g) - 2*j(g). What is f(o(x))?
-36*x**2 - 312*x - 676
Let p(j) = -6*j**2. Let v(o) be the second derivative of 2*o**3/3 - 35*o**2/2 - 7314*o. Calculate p(v(q)).
-96*q**2 + 1680*q - 7350
Let h(g) = 0*g - 6*g + 6*g - 44 + 3*g - 5*g. Let j(l) = -3*l - 5. Let w(a) = 5*a + 8. Let m(k) = 8*j(k) + 5*w(k). What is m(h(o))?
-2*o - 44
Let f(a) = -2*a**2 - 4*a**2 + 6*a**2 + a**2. Let p(w) = -11*w - 19*w + 31*w - 14*w. Calculate p(f(l)).
-13*l**2
Let v(z) = 3*z**2. Let p(g) = -2*g**3 - 23*g**2 - 15*g - 13. Let b be p(-11). Let x(l) = -b - 2*l - 25*l + 31. Calculate v(x(u)).
2187*u**2
Let l(v) = 3*v**2. Let r(f) = 15067*f + 14408*f - 45220*f + 14943*f. Give r(l(w)).
-2406*w**2
Let x(f) = 5*f - 4. Let y(t) = -299*t**2 + 4*t - 23. Calculate x(y(k)).
-1495*k**2 + 20*k - 119
Let p(b) = -b**2. Let v(t) = -50702*t**2 - 509*t. Calculate v(p(q)).
-50702*q**4 + 509*q**2
Let u(p) = -p. Let i(b) = 6485227*b**2. What is i(u(o))?
6485227*o**2
Let x(z) = -z. Let i(t) be the third derivative of 7*t**5/5 - t**3/3 + 40*t**2. Let g(m) = -m**2. Let j(d) = -6*g(d) - i(d). Calculate x(j(u)).
78*u**2 - 2
Let x(f) be the first derivative of -8 + 0*f - 19/2*f**2. Let w(r) = 0*r**2 + 2*r**2 + r**2 - 4*r**2. Calculate w(x(z)).
-361*z**2
Suppose 3*i + 40 = 2*o, 0 = 2*i - 3*o + 23 + 12. Let s(b) = b - 2. Let h(z) = 3*z - 4. Let a(f) = i*s(f) + 5*h(f). Let t(w) = 10*w. Calculate a(t(j)).
50*j
Let k(z) be the first derivative of -8*z**2 + z - 6750. Let w(l) = -11*l - 5. Let y(f) = -6*f - 3. Let m(n) = 3*w(n) - 5*y(n). What is m(k(c))?
48*c - 3
Let t(z) = -z**2 + 41*z. Let x(c) be the first derivative of -15*c**2 + 3427. What is t(x(w))?
-900*w**2 - 1230*w
Let v(r) = 2*r**2 - 22*r. Let z be (1/3 - (-20)/3) + -4. Let y(f) = -23623 + 23623 - z*f. Give y(v(p)).
-6*p**2 + 66*p
Let u(t) be the second derivative of -t**5/20 + 4*t**3 + t**2/2 + 2*t - 7. Let m(c) be the second derivative of u(c). Let q(f) = -23*f**2. Calculate m(q(h)).
138*h**2
Let x(v) = 50*v**2 - 2. Let o(u) be the third derivative of 73*u**4/24 + 7941*u**2. Calculate o(x(c)).
3650*c**2 - 146
Let l(g) = 2*g - 754. Let i(a) = -1796*a. Calculate i(l(c)).
-3592*c + 1354184
Let y(m) = 3630*m. Let v(q) be the first derivative of -2*q**3/3 - 640. Determine v(y(b)).
-26353800*b**2
Let l(a) = -2*a - 13. Let r(g) = 122*g + 224. Let o(j) = -34*j - 64. Let h(w) = -18*o(w) - 5*r(w). Calculate l(h(v)).
-4*v - 77
Let b = -3 - -6. Let h(j) = 0*j**2 + 3*j - b*j - j**2. Let c(k) = -89*k. Let s(n) = -36*n. Let a(l) = 2*c(l) - 5*s(l). Calculate h(a(f)).
-4*f**2
Let i(j) = -j**2. Let r be ((-2)/(-8)*1)/((-18)/(-936)). Let o(u) = 23*u - 9*u - r*u. What is i(o(s))?
-s**2
Let d(g) = -18*g. Let f(c) = 6*c - 828. Let n(z) = 2*z - 266. Let s(l) = 4*f(l) - 13*n(l). Calculate d(s(i)).
36*i - 2628
Let i(o) = o. Let y(n) be the third derivative of -41*n**4/12 - 4*n**3/3 + 913*n**2 + 2. Determine y(i(t)).
-82*t - 8
Let s(d) = 15*d**2. Let x(r) = 91605*r. Give s(x(m)).
125872140375*m**2
Let j(o) = -760*o + 1. Let s(t) = -23581*t. Calculate j(s(m)).
17921560*m + 1
Let z be 4/5 + 1519/245. Let v(w) = 7*w - 17*w + z*w + 0*w. Let f(t) = -2*t - 13. Determine v(f(c)).
6*c + 39
Let d(i) = -68*i - 17. Let y(x) = 26*x - x + 6 - 2*x. Let r(q) = 6*d(q) + 17*y(q). Let h(w) = 4*w**2 + w**2 + w**2 - 4*w**2. Determine r(h(m)).
-34*m**2
Let r(g) = -490*g**2 + 2*g - 6. Let z(v) = -11760*v**2 + 49*v - 147. Let f(m) = -49*r(m) + 2*z(m). Let j(o) = -4*o**2. Give f(j(x)).
7840*x**4
Let c(z) = 4*z. Let d = 554 - 535. Let w(k) = d - 2*k - 124 + 31 + 29. Calculate c(w(y)).
-8*y - 180
Let k(m) be the second derivative of m**5/60 + m**4/12 - 71*m**2/2 + 30*m - 3. Let l(x) be the first derivative of k(x). Let i(t) = -4*t**2. Calculate i(l(j)).
-4*j**4 - 16*j**3 - 16*j**2
Let g(o) be the third derivative of o**5/30 + 24*o**2 - 54. Let j(q) = -1915*q. Determine j(g(u)).
-3830*u**2
Let k(y) be the second derivative of -y**3/2 + y**2 + 364*y. Let a(n) = -24 + 2*n + 24 - 5*n. Determine k(a(t)).
9*t + 2
Let d(m) = -38910652*m**2. Let b(t) = -6*t. What is d(b(o))?
-1400783472*o**2
Let n(k) = -9*k**2 - 28*k - 17991. Let j(b) = 2*b**2. Determine n(j(u)).
-36*u**4 - 56*u**2 - 17991
Let w(d) = 7*d**2 + d**2 - d**2. Let a(t) be the first derivative of t**3/3 + 218. Let j(b) = 18*a(b) - 2*w(b). Let c(r) = -2*r. Calculate c(j(m)).
-8*m**2
Let x(s) = s + 567930. Let q(o) = -3*o. What is q(x(a))?
-3*a - 1703790
Let i(z) = -421740*z. Let y(c) = 9*c. What is y(i(u))?
-3795660*u
Let p(l) = -4