.
41235882*y**2
Let s(q) = -2*q. Let f(l) be the first derivative of -358*l**3 - 5905. Determine s(f(v)).
2148*v**2
Let g(h) = 6*h**2. Let n(x) = 2*x + 410764. What is n(g(m))?
12*m**2 + 410764
Let x(n) = -n. Let h(t) = -8168*t**2 - 10081*t**2 + 14155*t**2. Determine h(x(s)).
-4094*s**2
Let j(f) = f**2. Let a be (-8 - -4)*(4 - 27/6). Let i(l) = 94*l**a - 33367 + 33367. Give i(j(s)).
94*s**4
Let l(d) = 239*d. Let v(a) be the third derivative of a**4/12 + 27*a**2 + 14*a + 2. Calculate l(v(n)).
478*n
Suppose 134 - 134 = 39*r. Let m(f) be the third derivative of 1/20*f**5 + 0*f + r*f**4 + 0*f**3 + 0 - 33*f**2. Let y(s) = -s**2. Give y(m(k)).
-9*k**4
Let z(x) = -2*x**2. Let y(n) = 58*n - 16. Let u(i) = 119*i - 34. Let d(j) = 8*u(j) - 17*y(j). Give d(z(q)).
68*q**2
Let g(x) = -x**2. Suppose 4 = -4*a, -5*w + 9 = -4*a - 15. Let d(h) = -19*h**2 + w*h**2 - 3*h**2. Give g(d(q)).
-324*q**4
Let z(d) = 13*d - 6. Suppose 3*i - 23 = -3*w + 16, 5 = w + 3*i. Let k(u) = -37*u + 17. Let g(r) = w*z(r) + 6*k(r). Let j(y) = 57*y**2 + 2. What is j(g(a))?
57*a**2 + 2
Let x be (-2)/4*(-3 + -1). Let a(f) = 4*f - x*f + 0 + 0. Let i(t) = 51*t**2 - 43*t**2 - 9*t**2. What is i(a(p))?
-4*p**2
Let b(c) = -1373155*c. Let n(r) = 21*r. Give n(b(x)).
-28836255*x
Let j(c) = 35*c. Let a(i) = -i - 8 - 10 + 18. Let t(k) = 4*a(k) + j(k). Let g(b) be the third derivative of -b**4/24 - 14*b**2 + 10*b. Calculate g(t(u)).
-31*u
Let b(w) = -351*w. Let r(h) = -h**2 + 51*h - 30. Determine r(b(x)).
-123201*x**2 - 17901*x - 30
Let j(s) = 58*s. Let h(f) = f. Let r(x) = 127*x - 58*x - 66*x. Let m(g) = 15*h(g) - 4*r(g). Give j(m(q)).
174*q
Let n(u) = -7658*u**2. Let j(c) = -74*c. Calculate n(j(y)).
-41935208*y**2
Let m(d) = d**2 - 7*d + 8. Let z be m(6). Let c(x) = -8 - 4*x**2 + 8 - x**z. Let o(k) = -9 + 3*k + 9 - 5*k. Calculate o(c(j)).
10*j**2
Let c(i) = -31*i - 28. Let m(d) = 216*d + 189. Let p(n) = -27*c(n) - 4*m(n). Let l(q) = 21*q**2. Give l(p(h)).
15309*h**2
Let r(y) = 6*y + 26*y - 45*y + 12*y. Let f(t) = -317*t. Calculate f(r(v)).
317*v
Let c(t) = 13*t. Let r(l) = -12614710*l. Give r(c(u)).
-163991230*u
Let x(h) = 18*h. Let l(y) = -y + 10. Let n be l(4). Suppose 0 = 4*o - n*o + 126. Let m(t) = 63 - o - 2*t. Give m(x(a)).
-36*a
Let l(u) = -12*u. Let q(r) = 2476468*r**2 + 2*r - 2. Calculate l(q(t)).
-29717616*t**2 - 24*t + 24
Let o(n) = n. Let s(b) = -28 + 40*b - 42 - 44*b - 42. What is s(o(m))?
-4*m - 112
Let b(i) be the second derivative of 3*i**4/2 + 3680*i - 1. Let n(t) = -296*t**2. Calculate n(b(k)).
-95904*k**4
Let o(u) = 4*u**2. Let c(m) = 15*m. Let g(p) = -952*p. Let i(x) = -320*c(x) - 5*g(x). What is o(i(b))?
6400*b**2
Let j(g) = 2*g. Let i = 51 + -48. Suppose -i*y = -7*y + 52. Let m(r) = 12*r + y*r - 24*r. Determine m(j(v)).
2*v
Let i(r) = -2*r. Let c(d) be the first derivative of -3*d**2/2 - d - 48. Let a(n) = 45*n + 12. Let j(p) = -3*a(p) - 36*c(p). Determine i(j(t)).
54*t
Let o(t) = 3*t**2. Let u(f) = -51*f + 20. Let m(g) = -26*g + 12. Let p(w) = -5*m(w) + 3*u(w). Give p(o(v)).
-69*v**2
Let h(v) = -57*v - 60*v - 1302*v**2 + 117*v. Let i(d) = -2*d**2. Calculate i(h(l)).
-3390408*l**4
Let w(p) be the third derivative of p**4/24 + p**2. Let m(s) be the first derivative of 21*s**2/2 + 1694. Give w(m(a)).
21*a
Let v(r) = -r. Let o(m) = -4*m - 3. Let p(f) = 2*f + 21. Let u be p(-10). Let g(y) = -8 + u - 9*y + 6 - 4. Let a(q) = -3*g(q) + 5*o(q). Determine v(a(j)).
-7*j
Let a = 931/9 + -1859/18. Let g(v) be the second derivative of a*v**4 + 0*v**3 + 0*v**2 - 4*v + 0. Let w(k) = -3*k. What is w(g(t))?
-6*t**2
Let d(z) be the first derivative of 24*z**3 + 545. Let n(f) = 6*f**2. Calculate d(n(j)).
2592*j**4
Let d(c) = 16*c + 1. Let p(v) = 3*v - 2582*v**2 + 4*v + 2563*v**2 - 7*v. What is d(p(n))?
-304*n**2 + 1
Let m(g) = -2*g. Let a(d) = 415*d + 12 + 10 - 208*d - 210*d. Give a(m(p)).
6*p + 22
Let y(i) be the first derivative of -38*i**3/3 - 3. Let v(h) = 2*h**2 - 6*h - 18. Let t be v(-2). Let a(s) = -t*s - 4 - 5 + 9. Calculate a(y(b)).
76*b**2
Let k(l) be the first derivative of 31/3*l**3 + 0*l**2 - 61 + 0*l. Let t(n) be the third derivative of n**4/12 - 2*n**2. Give t(k(c)).
62*c**2
Let m(p) = 407*p. Let g(k) = 45*k**2 + 11*k + 121. Let t(v) = -4*v**2 - v - 11. Let h(w) = 6*g(w) + 66*t(w). Give m(h(x)).
2442*x**2
Let j(r) = -3*r. Let f(k) = 3150951*k. Determine f(j(w)).
-9452853*w
Let x(h) = -782*h. Let i(d) = 8619*d**2 + 1. Calculate x(i(q)).
-6740058*q**2 - 782
Let h(v) = 108*v**2 - 112*v**2 + 142*v**2. Let s(j) = 6*j - j - 4*j. What is h(s(r))?
138*r**2
Let f(i) = -67 + 95*i + 25 + 22 + 20. Let x(s) be the first derivative of s**2/2 - 45. Calculate x(f(h)).
95*h
Let b(f) = 2*f. Let j(u) be the third derivative of u**5/30 + 143*u**4/24 - u**3 - 18*u**2 + 3*u - 4. Determine j(b(z)).
8*z**2 + 286*z - 6
Let v(p) be the third derivative of 1/12*p**4 + 0*p**3 + 0*p + 0 - 148*p**2. Let y(d) = d**2. Give v(y(u)).
2*u**2
Let i(p) = -1211073*p**2 + 1. Let l(u) = -56*u**2. Determine i(l(o)).
-3797924928*o**4 + 1
Let n(l) be the second derivative of 5*l**4/6 - 2*l - 155. Let y(c) = -19*c. Determine n(y(h)).
3610*h**2
Let u(p) = -3*p**3 + 7*p**2 + 3*p + 2. Let l be u(4). Let x = -36 - l. Let w(q) = 30 + q - x. Let k(v) = 40*v. Give k(w(s)).
40*s
Let q(p) be the third derivative of -p**4/24 - p**2 - 138. Let r(o) = o + 208. Calculate q(r(s)).
-s - 208
Let r(y) be the third derivative of 493*y**4/12 - y**3/6 - 931*y**2. Let c(p) = p**2. Determine c(r(s)).
972196*s**2 - 1972*s + 1
Suppose b - 2*s = -0*s - 4, -3*b + 3*s - 3 = 0. Let y(v) = 9*v**2 + 10*v**2 - 25*v**2 + 11*v**b. Let g(l) = -14*l**2. What is y(g(f))?
980*f**4
Let g(s) = 164111*s. Let u(l) = -l - 12. Calculate g(u(z)).
-164111*z - 1969332
Let l(g) = 2*g + 8. Let x be l(-3). Let z(o) = 1225*o - 1225*o - 3*o**x. Let t(w) = w**2 - 3*w**2 + 0*w**2. What is z(t(q))?
-12*q**4
Let h(d) = -d**2 - 1. Let g(x) = 10*x**2 + 6. Let l(s) = g(s) + 6*h(s). Suppose 4 + 18 = 2*c. Let b(p) = -24*p**2 + 10*p**2 + c*p**2. Calculate b(l(n)).
-48*n**4
Let m(b) be the second derivative of 2*b + 0 - 11/12*b**4 + 0*b**2 + 0*b**3. Let x(s) = -s + 3*s - 1324 + 663 + 661. Calculate x(m(j)).
-22*j**2
Let d(y) = 37 + 18*y + y**2 - 2*y + 0*y - 3*y. Let a be d(-12). Let v(o) = -a*o + 18*o + 11*o. Let q(s) = 14*s. Calculate v(q(b)).
56*b
Let f(v) = -3*v. Let l(u) = 41688*u**2 - u - 9. What is l(f(q))?
375192*q**2 + 3*q - 9
Let u(p) be the third derivative of 137*p**5/12 - p**3/2 - 1062*p**2. Let j(t) = t**2. Determine j(u(b)).
469225*b**4 - 4110*b**2 + 9
Let j(p) be the second derivative of 0 + 0*p**3 + 2*p + 1/4*p**4 + 0*p**2. Let l(s) = -4*s**2 - s**2 - 5*s**2 + 16*s**2 - 7*s**2. Calculate l(j(y)).
-9*y**4
Let t(u) = u**2. Let v(o) = -23*o - 1223 + 70*o - 46*o. What is t(v(y))?
y**2 - 2446*y + 1495729
Let u(j) = -10*j**2. Let o = -1335 + 3059. Let q(x) = -846*x + o*x - 861*x. What is u(q(n))?
-2890*n**2
Let b(m) = m + 7. Suppose 0 = z + 2*h - 8, -3*z - 2*z + 16 = 2*h. Let s be (-8 - (1 - z))*(-12)/21. Let y(v) = 0*v - s*v + 2*v + 3*v. Calculate y(b(k)).
k + 7
Let i(b) = -27686*b**2 + 981*b - 981. Let q(f) = 113*f**2 - 4*f + 4. Let g = -178 + 182. Let l(o) = g*i(o) + 981*q(o). Let z(v) = -2*v. What is z(l(y))?
-218*y**2
Let w(m) = m. Let n(t) = -5090709*t**2. What is n(w(a))?
-5090709*a**2
Let z(q) = q**2. Let l(c) = 64*c**2 + 2*c + 2579. Determine l(z(v)).
64*v**4 + 2*v**2 + 2579
Let l(q) = -3*q. Let s = 2048 - 2045. Let c(i) be the third derivative of -1/12*i**4 + 7*i**2 + 0 + 0*i**s + 0*i. What is c(l(w))?
6*w
Let a(f) = 10*f**2 + 11*f**2 - 2796 - 7*f**2 + 2796. Let w(d) = -10*d - 8 + 8. What is a(w(l))?
1400*l**2
Let a(z) = 1 + 7*z - 1. Let d(c) be the first derivative of 0*c + 112 - 1/3*c**3 + 0*c**2. Determine d(a(m)).
-49*m**2
Let n(z) = -282*z + 134 - 65 - 69 + 351*z. Let p(j) = -2*j**2 - 7. Determine n(p(q)).
-138*q**2 - 483
Let z(v) = -v. Suppose -385 = -5*l - 110. Suppose -4*q - 16*q + 540 = 0. Let j(c) = -27*c**2 + l*c**2 - q*c**2. Determine z(j(g)).
-g**2
Let z(q) = -403*q - 11. Let b(s) = 2*s**3 - 4*s**2 + 11*s - 17. Let r be b(2). Let i(j) = 269*j + 8. Let t(x) = r*z(x) + 7*i(x). Let c(u) = -2*u. Give c(t(w)).
264*w - 2
Let u(d) = 11*d. Let b(w) = 329024*w - 1. Determine b(u(v)).
3619264*v - 1
Let n(j) be the third derivative of -j**2 + 0*j - 1/60*j**