- i - t. Determine u(p(a)).
a**2
Let v(f) = -15*f. Suppose -4*x + 25 - 5 = 2*w, -4*x - 70 = -3*w. Let r(t) = -w*t + t**2 - 2*t**2 + 18*t. Calculate r(v(p)).
-225*p**2
Let a(g) = -10*g**2. Let f(l) be the third derivative of 0*l + 0*l**3 + 0*l**4 - 9*l**2 + 0 + 1/60*l**5. Determine f(a(d)).
100*d**4
Let k(o) be the first derivative of o**5/30 + 25*o**2/2 + 13. Let w(j) be the second derivative of k(j). Let d(n) = 19*n. What is d(w(f))?
38*f**2
Let j(w) = 2*w**2. Let b(q) = -2*q - 18. Let r be b(-10). Let p(c) = -c - r*c**2 + c. Calculate j(p(o)).
8*o**4
Let r(k) = k. Let u(t) = -114*t + 2537. Calculate r(u(a)).
-114*a + 2537
Let y(n) = 51053*n**2. Let f(h) = 32*h**2. What is y(f(g))?
52278272*g**4
Let h(f) = f. Let r(b) = -1597*b + 1. Calculate r(h(t)).
-1597*t + 1
Let z(a) = 4*a + 237. Let s(p) = 8*p. Determine s(z(m)).
32*m + 1896
Let f(x) = -5*x. Let d(j) = -15*j - 4. Let b(g) be the third derivative of 169*g**4/6 + 91*g**3/3 - 2*g**2 + 3. Let r(l) = -2*b(l) - 91*d(l). Calculate r(f(o)).
-65*o
Let g(t) = 11*t. Let z(a) = -26*a. Let r(c) = 14*g(c) + 6*z(c). Let y(j) = 12*j - 1. Determine r(y(n)).
-24*n + 2
Let m(k) = -5*k. Let r(w) be the second derivative of 6*w + 0*w**3 + 0*w**2 + 0 - 7/12*w**4. Give m(r(n)).
35*n**2
Let b(l) be the first derivative of -9*l**2/2 + 43. Let f(h) = -8*h. What is f(b(m))?
72*m
Let v(k) = 6*k. Let j(b) = 5*b. Let g(p) = 5*j(p) - 5*v(p). Let m(d) = 742*d - 742*d - 5*d**2. Give m(g(i)).
-125*i**2
Let m(x) = 8*x - 13*x - 292*x**2 + 5*x. Let u(t) = -t**2. What is m(u(a))?
-292*a**4
Let q(y) = -y. Let j(p) = -703*p + 8*p**2 + 703*p. What is q(j(t))?
-8*t**2
Let c(t) be the first derivative of t**2/2 + 1. Let a(h) = h**2 + 8*h - 3. Let m be a(-9). Let v(d) = d - m*d + 3*d. Determine c(v(g)).
-2*g
Let r(i) = -3*i**2 - 6*i. Let n(u) = -3*u**2 - 5*u. Let p = -71 + 41. Let g be 2*2 - p/(-3). Let c(f) = g*n(f) + 5*r(f). Let t(z) = -z. Give t(c(b)).
-3*b**2
Let h(d) = 769*d. Let u(r) be the second derivative of r**4/12 - r + 398. Calculate u(h(j)).
591361*j**2
Let v(k) = -204207*k. Let r(t) = 2*t. What is r(v(i))?
-408414*i
Let i(v) = 3*v + 2. Let r(d) = 23*d + 24. Let w(f) = 2*i(f) - r(f). Let a(k) = k. Calculate a(w(j)).
-17*j - 20
Let h(a) = -2*a. Let j(z) = 19200*z**2 - 2. What is h(j(d))?
-38400*d**2 + 4
Let o(p) = -24*p. Let c(s) = -s - 1724*s**2 + s + 1719*s**2. Calculate c(o(v)).
-2880*v**2
Let k(v) = 16*v. Let d(f) = 415*f**2. What is d(k(j))?
106240*j**2
Let o(m) = 4*m. Let k be 199*(-1)/(-2)*2. Let p(i) = k*i - 199*i + 2*i**2. What is o(p(q))?
8*q**2
Let z be 16/7 - (80/35)/8. Let k(a) = 15*a**2 + 25*a**2 - 38*a**z. Let q(l) = 12*l. Calculate q(k(t)).
24*t**2
Let s(d) = -1232*d**2. Let l(a) = -41*a**2. Give s(l(x)).
-2070992*x**4
Let t(h) = 489*h**2 - 2*h + 60. Let l(k) = -2*k**2. Determine t(l(u)).
1956*u**4 + 4*u**2 + 60
Let i(a) = -2*a. Let v(m) be the first derivative of m**2 + 79*m - 230. Give v(i(b)).
-4*b + 79
Let t(y) = -2*y. Let f(l) = 324*l**2 - 9 + 10 + 642*l**2 - 1. Calculate f(t(v)).
3864*v**2
Let v(h) = -2*h**2. Let c(y) = 2*y - 4. Let b(x) = -3*x - 6. Let d(o) = 5*o + 9. Let z(t) = 8*b(t) + 5*d(t). Let l(p) = -3*c(p) + 4*z(p). Give v(l(s)).
-8*s**2
Let r(w) be the second derivative of w**3/2 - 5*w**2/2 + 10*w. Let z(m) = 12*m - 21. Let j(k) = -21*r(k) + 5*z(k). Let t(q) = q. Give t(j(b)).
-3*b
Let j = 47 + -42. Let p(w) = 3*w - j + 5 - 2*w. Let c(g) = -12*g. Give c(p(k)).
-12*k
Let m(q) = -108142*q. Let i(s) = -2*s. Give i(m(j)).
216284*j
Let v(l) = -l**2. Let j(k) = -5*k**2 - 129*k + 88. Determine j(v(o)).
-5*o**4 + 129*o**2 + 88
Let m(v) = -16*v - 1. Let f(c) = -17*c - 1. Let r(d) = 3*f(d) - 4*m(d). Let o(h) = 4479*h**2 - 1496*h**2 - 1490*h**2 - 1494*h**2. What is o(r(a))?
-169*a**2 - 26*a - 1
Let f(t) = -12*t. Let b(u) = -2*u. Let v(n) = 4*b(n) - f(n). Let a(i) = -i**2 + 6*i. Calculate a(v(g)).
-16*g**2 + 24*g
Let m(p) = -38 + 15 + 23 - 9*p. Let t(y) = 2*y**2 + 2*y**2 + 0*y**2. Determine t(m(x)).
324*x**2
Let i(l) = l. Let d(g) = 14 + 103*g + 1 + 5 - 20. Calculate i(d(m)).
103*m
Let t(g) = -640*g**2 - g + 96. Let y(l) = 9*l. What is y(t(r))?
-5760*r**2 - 9*r + 864
Let c(x) = 5*x. Suppose 14*o - 8*o = 30. Let j(d) = 9*d + 5. Let g(l) = -5*l - 3. Let v(w) = o*g(w) + 3*j(w). Give c(v(t)).
10*t
Let k(g) = -20*g**2. Let s(m) = -1323*m. Determine s(k(w)).
26460*w**2
Let f(k) = 13*k**2 - 2*k**2 - k**2 - 12*k**2. Suppose 0 = -y + 5 - 1. Let b(w) = -2*w**2 + y*w**2 + 5*w**2. Give b(f(g)).
28*g**4
Let j(t) = 66*t + 2574. Let f(b) = -5*b - 198. Let m(p) = -27*f(p) - 2*j(p). Let n(q) = 6. Let h(i) = 6*m(i) - 198*n(i). Let a(w) = w**2. What is a(h(l))?
324*l**2
Let j(m) = -m**2 - 3. Let b(n) = -1. Let k(z) = 6*b(z) - 2*j(z). Let u(x) be the second derivative of 0*x**2 + 0 - 7*x + 5/12*x**4 + 0*x**3. What is u(k(i))?
20*i**4
Let v(u) = -597*u + 299*u + 298*u + u**2 + u**2. Let f(w) = -25*w**2 - 13. Calculate v(f(g)).
1250*g**4 + 1300*g**2 + 338
Let m(v) = 61*v**2 + 3*v. Let i(r) = 59*r**2 + 4*r. Let g(u) = -3*i(u) + 4*m(u). Let q(s) = -2*s. What is q(g(f))?
-134*f**2
Let j(o) = 4*o**2. Let k(s) = 76*s + 24. Let g(u) = 31*u + 10. Let c(t) = -12*g(t) + 5*k(t). What is j(c(n))?
256*n**2
Let f(s) = 7*s - 33. Let h(x) = 9*x + 65. Determine f(h(t)).
63*t + 422
Let i(m) = 2. Let o(c) = 2*c**2 - 8. Let v(z) = -4*i(z) - o(z). Let f(q) = -q**2 + q - 1. Let d(w) = -w**2 + 5*w - 5. Let l(t) = -d(t) + 5*f(t). Give v(l(n)).
-32*n**4
Let d(y) = -32*y + 62*y - 3 - 29*y + 3. Let o(p) be the second derivative of 5*p**4/6 + 2*p. Calculate d(o(f)).
10*f**2
Let z(s) be the second derivative of s**4/4 - 39*s. Let k(c) = -54*c**2. Calculate k(z(f)).
-486*f**4
Let k(j) be the first derivative of 4*j**3 - 3829. Let o(g) be the third derivative of 0 - g**2 + 0*g**3 + 1/24*g**4 + 0*g. Give k(o(v)).
12*v**2
Let o(p) = 319*p**2. Let a(z) = -138*z. Calculate a(o(q)).
-44022*q**2
Let l(q) = 19*q**2 - 1. Let j(p) be the first derivative of p**4/12 - 5*p**2/2 - 17. Let z(m) be the second derivative of j(m). Determine l(z(w)).
76*w**2 - 1
Let n(s) = -s. Let i(h) = -330264*h. What is n(i(o))?
330264*o
Let n(r) be the first derivative of -16/3*r**3 + 14 + 0*r**2 + 0*r. Let g(u) = -2*u**2. Determine g(n(j)).
-512*j**4
Suppose 0 = -3*c + 15. Suppose -2*i - 3*i = -10. Let v(a) = -18 - 5*a**i + 18 - c*a**2. Let w(q) = 2*q**2. Determine w(v(o)).
200*o**4
Let b(z) = 7*z - 18. Let l(o) = -o + 3. Let u(g) = b(g) + 6*l(g). Let y(i) be the first derivative of 21*i**2 + 4. Calculate y(u(a)).
42*a
Suppose -4*o = -13 + 5. Let n be 4/10 - 24/(-15). Let c(u) = -u**2 - 7*u**n + 6*u**o + 3*u**2. Let s(b) = -5*b**2. Determine c(s(y)).
25*y**4
Let d(x) = 49*x. Let b(f) = -6768*f. Give b(d(k)).
-331632*k
Let w(y) = -y + 1. Let j(p) = 8*p - 7. Let z be 2/4 + 270/20. Let r(u) = z*w(u) + 2*j(u). Let l(b) be the second derivative of -b**4/4 - b. Give r(l(i)).
-6*i**2
Let o(q) be the second derivative of q**3 - q - 5 + 5. Let a(k) = 2*k**2 - 2*k. Let g(r) = 6*r**2 - 5*r. Let y(t) = 5*a(t) - 2*g(t). Determine o(y(x)).
-12*x**2
Let v(g) = 105*g. Let w(u) = -36*u. Determine v(w(r)).
-3780*r
Let w(y) = -2744*y. Let n(l) = -4*l**2. Give n(w(i)).
-30118144*i**2
Let a(i) = -i. Let o(t) = -283*t**2 - 3*t + 9. Let q(c) = -104429*c**2 - 1108*c + 3324. Let s(n) = 1108*o(n) - 3*q(n). Determine s(a(k)).
-277*k**2
Let l(u) = 70*u. Let y(k) = -5202*k**2. What is l(y(b))?
-364140*b**2
Let i(f) = -f**2. Let t(o) = -25*o**2. Let p(r) = -3*i(r) + t(r). Let a(s) be the first derivative of 3*s**2/2 - 41. Determine p(a(m)).
-198*m**2
Let y(c) = -c**2. Let n(d) = -5322*d**2 - 10*d - 1. Determine n(y(r)).
-5322*r**4 + 10*r**2 - 1
Let y be (-4)/20 + (-42)/(-10). Let i(r) = 11*r - y*r + 2*r - 8*r. Let p(c) = -6*c**2. What is i(p(u))?
-6*u**2
Let u(h) = -464*h - 7. Let s(a) = -229*a - 3. Let d(w) = 7*s(w) - 3*u(w). Let r(o) = 2*o. What is d(r(q))?
-422*q
Let h(u) be the second derivative of 3*u**4/4 - 98*u + 2. Let k(p) = 7*p**2. What is h(k(v))?
441*v**4
Let o(z) = z. Let a(g) be the second derivative of g**3/6 - 10*g. Let v(c) = -8*c. Let u(l) = -a(l) + v(l). Calculate u(o(y)).
-9*y
Let n(v) = -41*v**2. Let o(u) = 10*u - 72619 + 72619. What is n(o(c))?
-4100*c**2
Let m(h) = -9*h**2. Let g(b) = -b**2 + 6410*b. Give g(m(v)).
-81*v**4 - 57690*v**2
Let w(a) = 4*a. Let v be 61 - 0 - (-5 + 7). 