45*r
Let i(q) = -q. Suppose 4*m - 31 = -3*b, -2*m + 4*b = m + 8. Let n(d) = -6*d. Let t(g) = m*n(g) - 22*i(g). Let p(z) = -5*z. Determine p(t(w)).
10*w
Let q(z) = 5 + 4 - 9 - 4*z. Let h(g) be the first derivative of 0*g - 1 + g**2 + 0*g. Calculate h(q(s)).
-8*s
Let x(f) = -f**2 - 3*f - 3. Let k(j) = -2*j - 2. Let h(t) = 3*k(t) - 2*x(t). Let p(r) = -4*r. Determine h(p(y)).
32*y**2
Let a(i) = 2*i**2 + 4*i + 3. Let j be a(-2). Let v(f) = 0 + j*f + 0 + 3*f. Let g(x) be the second derivative of x**4/6 - 2*x. What is v(g(u))?
12*u**2
Let v(p) = -19*p + 145 - 145. Let h(b) = b. Calculate v(h(j)).
-19*j
Let f(w) = -4*w. Let d(l) be the first derivative of -l**5/60 - l**2 - 1. Let p(z) be the second derivative of d(z). Determine p(f(b)).
-16*b**2
Let k(c) = 597*c - 2. Let x(o) = 4*o**2. Give x(k(f)).
1425636*f**2 - 9552*f + 16
Let d(f) = -14*f + 70. Let w be d(5). Let y(p) be the third derivative of w*p**4 + 0*p**3 + p**2 + 0*p + 0 - 1/60*p**5. Let c(m) = 2*m. Determine y(c(z)).
-4*z**2
Let r(n) = 4*n. Let a(v) = 3*v**2 + 7*v. Let i(s) = 2*s**2 + 3*s. Let m(t) = 6*a(t) - 14*i(t). Calculate m(r(u)).
-160*u**2
Let l(b) = -3*b. Suppose -4*t = -7*t + 6. Let g(f) be the first derivative of 0*f + 1/3*f**3 + t + 0*f**2. Calculate g(l(y)).
9*y**2
Let s(g) = -g + 2. Let m(d) = -3*d + 5. Let i(x) = -2*m(x) + 5*s(x). Let u(y) be the first derivative of 5 - 5 - y**2 - 2. Give i(u(z)).
-2*z
Let r(p) = -p + 5. Let f(y) = -4*y. Determine f(r(w)).
4*w - 20
Let p(h) = -3*h**2. Let o(l) be the third derivative of l**5/20 - 27*l**2. Calculate o(p(k)).
27*k**4
Let b(h) = h**2. Let f(s) = -25*s**2 - 11. Give b(f(x)).
625*x**4 + 550*x**2 + 121
Let d(b) = 30*b. Let y(x) = 2*x**2 - 17*x**2 + 7*x**2 + 7*x**2. Calculate y(d(s)).
-900*s**2
Let k(s) = 2*s. Let u(r) = 5*r**2 + 7. Let o(d) = -3*d**2 - 4. Let q = -17 + 2. Let i = 11 + q. Let b(y) = i*u(y) - 7*o(y). Give k(b(v)).
2*v**2
Let t(a) = a**2. Let v(k) = -8*k - 316. Determine t(v(f)).
64*f**2 + 5056*f + 99856
Let n(o) = -o. Let r(v) = v**2 + 2*v + 284. Determine n(r(h)).
-h**2 - 2*h - 284
Let o(m) = -m**2. Let f(h) = 34 + 39 + 20*h - 73. Calculate f(o(k)).
-20*k**2
Let i(d) = -3*d. Let q = 21 - 17. Let p(g) = -q + 2*g**2 + 4. What is p(i(t))?
18*t**2
Let j(r) = 11*r - 4*r + 2*r. Let x(d) = 5*d**2 - 8*d**2 + 5*d**2. What is j(x(c))?
18*c**2
Let u(i) = -2*i**2. Let f(v) = 88*v - 81*v + 5 - 5. What is u(f(l))?
-98*l**2
Let k(o) = o**2. Suppose 3*h - 2 = 2*h. Suppose -3*y + 4*l + 2 = 2*y, 5*y - 18 = -4*l. Let i(m) = m**2 + 2*m**h - 7*m**y. Calculate k(i(d)).
16*d**4
Let p(k) be the second derivative of 0*k**2 + 0*k**3 + 0 + 8*k + 1/12*k**4. Let y(c) = -7*c**2. Determine y(p(r)).
-7*r**4
Let f(h) = 8*h. Let j(m) be the first derivative of m**2/2 + 13. Give j(f(q)).
8*q
Let b(c) = -c**2 + 41 - 5*c**2 - 41. Let h(i) = 2*i**2. Calculate b(h(m)).
-24*m**4
Let p(n) = 2*n**2. Let t(b) = 2*b. Let d(j) = j. Let f(o) = -3*d(o) - t(o). Calculate p(f(a)).
50*a**2
Let p(z) be the first derivative of -z**2/2 - 11. Let x(j) = -9*j. What is p(x(q))?
9*q
Let z(a) = 2*a. Let s(h) = 7*h**2 + 14*h. Calculate z(s(j)).
14*j**2 + 28*j
Let w(u) = -2*u**2. Let c(n) = 6*n - 2*n - 2*n. Give c(w(x)).
-4*x**2
Let r(c) = 118*c**2. Let i(u) = u**2. What is i(r(q))?
13924*q**4
Let j(s) = -936*s. Let f(z) = -3*z. What is j(f(m))?
2808*m
Let j(p) = -7*p**2 - 6*p. Let b(g) = -8*g**2 - 7*g. Let k(r) = -6*b(r) + 7*j(r). Let x(l) = 0*l**2 - 8*l**2 + 2*l**2. Give x(k(f)).
-6*f**4
Let t(n) = -48*n**2. Let a(i) = 2*i**2. Give a(t(p)).
4608*p**4
Let h(j) = 24*j. Let c(w) = -1. Let z(t) = -t**2 + 1. Let b(r) = -2*c(r) - 2*z(r). Give h(b(u)).
48*u**2
Let o(g) = -g**2. Let p(a) = -158*a**2. Determine p(o(y)).
-158*y**4
Let d(x) = x - 1. Let g(f) = -1. Let w(p) = 2*d(p) - 2*g(p). Let i(j) be the first derivative of 3*j**2 - 11. Calculate i(w(o)).
12*o
Let m(h) = 2*h - 6*h + 2*h + 3*h. Let r(b) = 3*b - 6*b + b. Determine m(r(c)).
-2*c
Let a(w) = -3*w**2. Let z(t) = t - 1. Let x(u) = 8*u - 6. Let c(p) = x(p) - 6*z(p). Give a(c(m)).
-12*m**2
Let k(u) = 11*u**2 + 8. Let w(j) = -4*j**2 - 3. Let x(l) = -3*k(l) - 8*w(l). Let v = -5 - -7. Let f(p) = -9*p**2 + v*p**2 + 4*p**2. Calculate f(x(y)).
-3*y**4
Let b(c) = 15*c**2. Let z(y) be the second derivative of -y**4/12 + 4*y. Determine b(z(h)).
15*h**4
Let i(c) = 2*c**2. Let z(t) = t**3 - 5*t**2 - 4*t - 10. Let j be z(6). Let v(s) = -s**2 - 2*s**j - 2*s**2. What is v(i(y))?
-20*y**4
Let c(y) = y. Let w(q) = 91*q + 11. What is w(c(u))?
91*u + 11
Let v(k) = -777*k**2. Let q(o) = 3*o. Determine v(q(t)).
-6993*t**2
Let k(c) = -2266*c. Let v(d) = -2*d**2. Give k(v(g)).
4532*g**2
Let a(c) be the third derivative of -c**2 + 0 + 0*c**3 + 0*c + 0*c**4 + 1/30*c**5. Let i(o) = -8*o**2. Give a(i(d)).
128*d**4
Let p(w) = w**2 - 2*w**2 - w**2. Let c(r) be the first derivative of -2*r**2 - 4. What is c(p(f))?
8*f**2
Let v(s) = -2*s**2. Let u(o) = 317*o**2 + o. Calculate u(v(r)).
1268*r**4 - 2*r**2
Let t(b) = 3*b. Let r(w) be the second derivative of w**3/6 + w. Give t(r(o)).
3*o
Let i(d) = 3*d - 3*d + 3*d**2 - 4*d**2. Let o(n) = 7*n. Calculate i(o(y)).
-49*y**2
Let j(k) = -k**2 - 4*k**2 + 4*k**2 + 0*k**2. Let x(p) = 4*p + 5. Let a(v) = -5*v - 6. Let g(s) = 5*a(s) + 6*x(s). Give g(j(i)).
i**2
Let f(d) = -15*d. Let a(b) be the second derivative of b**4/6 - b. Give f(a(x)).
-30*x**2
Let w(c) = -12*c - 8. Let m(p) = 8*p + 5. Let x(u) = 8*m(u) + 5*w(u). Let l(r) = 2*r**2. What is l(x(t))?
32*t**2
Let a(j) = -2*j**2 - 97*j. Let h(m) = -m**2. Give h(a(y)).
-4*y**4 - 388*y**3 - 9409*y**2
Let h(d) = d. Let o be ((-6)/10)/((-1)/5). Suppose 3 = v, -3*a + 0*v = -v - o. Let q(u) = 4*u**a - 29 - u**2 + 29. What is q(h(t))?
3*t**2
Let p be ((-3)/9)/(2/(-6)). Let h(i) = p - i - 1. Let t(y) = -y + 1. Let c(m) = -16*m + 18. Let k(r) = -2*c(r) + 36*t(r). What is h(k(o))?
4*o
Suppose -m + 0*m - 3*x = 2, 4*x = -2*m. Let z(w) = 13*w**2 - m*w**2 - 6*w**2. Let a(n) = -n**2. Let g(y) = -y**2. Let b(h) = 7*a(h) - 6*g(h). Calculate b(z(j)).
-9*j**4
Let r(s) = 3*s**2. Let a(f) = -f + 67. What is a(r(j))?
-3*j**2 + 67
Let g(m) = 0*m + m + m + m. Let i(u) = -u. Let n(t) = -g(t) - 4*i(t). Let x(q) = 0*q**2 - q**2 + 4*q**2. Calculate n(x(v)).
3*v**2
Let n(l) = -16*l + 8. Let f(x) = 6*x**2. Calculate f(n(g)).
1536*g**2 - 1536*g + 384
Let u(i) = -17*i - 13. Let a(f) = 4*f + 3. Let h(s) = -26*a(s) - 6*u(s). Let v(m) be the first derivative of m**2 + 1. Give h(v(k)).
-4*k
Let m(b) = -b**2. Let w(t) be the second derivative of t**4/3 + 13*t. What is w(m(u))?
4*u**4
Let v(d) = -1250*d**2. Let n(u) = u. Calculate v(n(r)).
-1250*r**2
Let p(q) = q. Suppose r + 32 = -5*n, -4*n - 2*r + 3*r - 31 = 0. Let z = n - -9. Let x(s) = z*s**2 - s**2 + s - s. What is p(x(l))?
l**2
Let y(j) = 211*j + 3. Let r(d) = d**2. What is y(r(h))?
211*h**2 + 3
Let k(y) = -30*y. Let b(i) = 63*i - 28*i - 34*i. Give b(k(z)).
-30*z
Let k(y) = -15*y**2 - 2. Let f(o) = -3*o. Determine f(k(a)).
45*a**2 + 6
Let k(j) = -6*j. Let c(p) = 8*p + 2. Let t be c(3). Let z(f) = f + t - 26 + f. Determine z(k(g)).
-12*g
Let x(k) = 2*k**2. Let f(y) be the second derivative of -2*y**3 - 9*y. What is f(x(l))?
-24*l**2
Let i(k) = k**2 - k**2 - 3*k**2. Let b(r) = -4*r**2. Give b(i(n)).
-36*n**4
Let t(v) = -v**2. Let w(c) = -8*c. Let z(q) = -8*q. Let b(d) = -4*w(d) + 5*z(d). Calculate b(t(a)).
8*a**2
Let z(p) = 66*p**2 - 26*p**2 - 33*p**2. Let a(y) = -2*y. Calculate a(z(w)).
-14*w**2
Let h(m) = -m**2. Let j(s) = s**2 + 7*s - 6. Let q be j(-8). Let i(r) = 3 + 1 + 3*r**q - 4. Determine i(h(a)).
3*a**4
Let x(y) = 2*y**2. Let l(s) = -13*s + 2. Determine x(l(g)).
338*g**2 - 104*g + 8
Let x be 4/10 - (-432)/20. Let b(i) = -x + 22 - i**2. Let k(o) = -8*o**2. Give b(k(q)).
-64*q**4
Let j(m) = -m. Let h = 4 + -2. Let y(i) = -5*i**2 + 2*i - 2. Let u(r) = -81*r**2 + 33*r - 33. Let d(p) = h*u(p) - 33*y(p). Determine d(j(g)).
3*g**2
Let u(q) be the third derivative of q**4/24 - 6*q**2. Let i(w) = 2*w. Calculate i(u(z)).
2*z
Let q(m) = 3*m. Let b(j) = 4*j - 16. Determine q(b(h)).
12*h - 48
Let s be 1/(-2) - 3/2. Let j(h) = -4*h**2 + 3*h - 3. Let y(d) = -4*d**2 + 2*d - 2. Let t(x) = s*j(x) + 3*y(x). Let u(k) = k. Determine t(u(a)).
-4*a**2
Let w(p) = -4*p**2. Let b(q) = -q**2. Let i(h) = -6*b(h) + 3*w(h). Let g(a) = a + 0 + 0 - 2*a. Determine i(g