20*w
Let h(o) be the third derivative of -o**4/12 + 2*o**2 + 12. Let b(t) = 8*t**2. What is h(b(i))?
-16*i**2
Let a(t) = -4*t. Let h(r) = -26*r**2 + 32*r**2 + 10*r**2. What is h(a(o))?
256*o**2
Let z(p) = 74735*p. Let l(i) = -14*i. Calculate l(z(y)).
-1046290*y
Let r(s) = 225 - 4*s**2 - 110 - 6*s**2 - 115. Let m(t) = 7*t + 1. Determine r(m(u)).
-490*u**2 - 140*u - 10
Let p(g) = 34143*g. Let h(c) = -63*c**2. Determine p(h(k)).
-2151009*k**2
Let a(i) = 323*i**2. Let u(s) = -16*s**2 - 2. Give a(u(p)).
82688*p**4 + 20672*p**2 + 1292
Let o(x) = -x**2 + 109*x + 3. Let a(c) = -c**2. Give o(a(p)).
-p**4 - 109*p**2 + 3
Suppose p = -l - l - 16, -3*p - 36 = 4*l. Let r be (-12608)/(-13) - l/39. Let o(u) = 6*u + r - 970 + 2*u. Let n(j) = -2*j. Determine n(o(q)).
-16*q
Let v(g) = -g + 1. Let w(u) = -8*u + 6. Let r(z) = -6*v(z) + w(z). Let o(x) be the first derivative of -8*x**2 + 947. Calculate r(o(t)).
32*t
Let o(l) = 5197*l. Let b(q) = -7*q. What is o(b(v))?
-36379*v
Let y(v) = -37*v**2. Let a(u) = 323*u - 136. Let n(k) = 5*k - 2. Let t(g) = -a(g) + 68*n(g). Give t(y(d)).
-629*d**2
Let v(u) = 2*u**2. Let r(l) = l**2 + 6*l - 8. Let h be r(-8). Suppose -3*m + h*m - 55 = 0. Let s(t) = -4*t + 9*t - 4*t + m*t. Determine s(v(w)).
24*w**2
Let z(p) = p + 1. Let n(b) = b**2 + b + 1. Let u(v) = -7*v**2 - 6*v - 6. Let g(x) = 6*n(x) + u(x). Determine z(g(q)).
-q**2 + 1
Let d(v) be the third derivative of -v**5/20 - 35*v**2 - 2. Let c(n) = 27*n. What is c(d(u))?
-81*u**2
Let d = 70 + -59. Let n(r) = 2 + 1 - 3 - d*r. Let x(u) = -u + 4*u + 0*u. Determine x(n(t)).
-33*t
Let i(d) = -12*d. Let l(c) = -2432*c. Determine i(l(y)).
29184*y
Let g(m) = 2*m**2. Let a be 0*(-1)/6*-1*6. Let l(n) = -3*n + 3*n - 6*n + a*n. Calculate l(g(j)).
-12*j**2
Let m(h) = -3*h. Let w = -364 + 366. Let y(s) be the second derivative of -1/4*s**4 + 0 + 0*s**w + 0*s**3 - 6*s. Give y(m(q)).
-27*q**2
Let w(z) be the third derivative of z**2 + 0*z**3 + 15/8*z**4 + 0*z + 0. Let q(f) = -f**2. What is w(q(p))?
-45*p**2
Let c(q) = 4*q**2 + 11*q**2 - q**2 - 9 - q**2. Let k(o) = -3*o**2 + 2. Let r(y) = 2*c(y) + 9*k(y). Let f(j) = -4*j. Determine f(r(n)).
4*n**2
Let z(r) = -29*r + 27*r - 14*r - 5*r. Let i(t) = -5*t**2. Calculate z(i(p)).
105*p**2
Let h(l) = l**2 - 8*l. Let r(p) = p**2 - 2*p. Suppose -8*j - 48 + 16 = 0. Let t(c) = j*r(c) + h(c). Let s(m) = 46*m**2. Calculate s(t(f)).
414*f**4
Suppose 4 = 3*c + c. Let s(v) = 1 + 6*v - c. Let i(n) = -8*n - 5*n + 20*n - 6*n. What is i(s(b))?
6*b
Let x(o) be the second derivative of -2*o**3/3 + 4388*o. Let i(l) = -l - 1. Let t(f) = 4*f**2 + 6*f + 6. Let q(a) = -6*i(a) - t(a). Determine q(x(s)).
-64*s**2
Let l(t) = 110*t + 107. Let i(k) = 16*k**2. What is l(i(u))?
1760*u**2 + 107
Let m(a) = 1295*a**2. Let c(g) = -2637*g**2. Determine m(c(u)).
9005130855*u**4
Let i(t) = -t**2. Suppose -6 = -2*y + 2*d, -5*y - d + 4*d = -15. Let u(n) = -4*n + y*n + 9*n**2 + n. Calculate i(u(a)).
-81*a**4
Let v(q) = 19*q**2. Let u(x) = -2624*x. What is v(u(i))?
130822144*i**2
Let k(p) be the first derivative of 10*p**3 - 133. Let f(t) = -2*t + 5. Let q(d) = -d + 3. Let h(x) = 6*f(x) - 10*q(x). Give h(k(m)).
-60*m**2
Let l(z) = 293*z - 586*z - 2 + 291*z. Let r(y) = -y. Give r(l(d)).
2*d + 2
Let i(b) = -b**2. Let f(c) = -53 + 21 + 31 - 8*c. Give f(i(z)).
8*z**2 - 1
Let w(u) = 4*u + 2*u - 4*u + u. Let x(i) be the first derivative of 7*i**3/3 + 31. Calculate x(w(q)).
63*q**2
Let x(s) = -9*s**2. Let t(q) be the first derivative of -19*q**3/3 + 730. Give x(t(d)).
-3249*d**4
Let j(q) = 79*q - 8. Let b(n) = -151*n**2. Calculate b(j(t)).
-942391*t**2 + 190864*t - 9664
Let w(j) be the second derivative of -j**3/6 - j. Suppose 5*a + 8 = 18. Let d(l) = -1 + 4 + a*l - 3. Calculate d(w(b)).
-2*b
Let a(u) = -11*u**2 + 6. Let c(t) = 10*t**2 - 5. Let y(o) = -5*a(o) - 6*c(o). Let q(k) be the second derivative of 2*k**4/3 - 1001*k. Determine y(q(r)).
-320*r**4
Let r(a) = 2*a. Let v(k) be the second derivative of -5*k**3/3 + 5*k**2/2 - 690*k. Give v(r(f)).
-20*f + 5
Let x(c) = -c + 108. Let o(p) be the third derivative of p**5/20 - 14*p**2 + p. Give o(x(d)).
3*d**2 - 648*d + 34992
Let q(j) = -17*j. Let w(d) be the third derivative of d**5/15 - d**2 - 46*d. What is w(q(u))?
1156*u**2
Let w(h) = -2*h. Suppose 4*b + 36 = 4*v, 22 = v + 4*b + 8. Let x(r) = -3*r - 9. Let f be x(-11). Let g(o) = -v*o - 15*o + f*o. Determine w(g(d)).
2*d
Let h(k) = 4*k - 10. Let p(o) = -4*o + 8. Let g(c) = 4*h(c) + 5*p(c). Let q(d) = d. Calculate g(q(x)).
-4*x
Let v(x) = x**2. Let b(g) be the third derivative of 5*g**4/12 + 529*g**2. Calculate v(b(n)).
100*n**2
Let b(h) be the first derivative of 1/3*h**3 + 0*h**2 - 4 - 4*h. Let i(p) be the first derivative of b(p). Let t(y) = 4*y**2. Calculate i(t(s)).
8*s**2
Let p(y) = -y. Let s(f) = -81*f - 308. Give p(s(k)).
81*k + 308
Let v(k) = k - 1. Let z(p) = 6*p - 5. Let s(n) = 5*v(n) - z(n). Suppose 1 = 2*y - 9. Let i(l) = -2*l + 0*l + y*l**2 + 2*l. What is i(s(g))?
5*g**2
Let f(v) = 4*v**2. Let l(c) be the third derivative of -c**5/20 - 5*c**4/24 - 8*c**2. Let z(y) = 16*y**2 + 28*y. Let r(d) = 28*l(d) + 5*z(d). Calculate r(f(u)).
-64*u**4
Let p(t) = 5*t. Suppose -5*f + 4*y = -0*y + 5, -3*y = -5*f. Suppose -20*w = j - 17*w + 6, -2*w - 6 = 0. Let x(l) = j*l - l - l - f*l. What is p(x(u))?
-10*u
Let d(b) = -8*b. Let x(n) be the third derivative of 1/30*n**5 + 0*n**3 + 0*n - 6*n**2 + 0 + 0*n**4. Determine x(d(q)).
128*q**2
Let d(h) = -2695*h + 1. Let s(g) = 53*g + 1. What is s(d(o))?
-142835*o + 54
Let b(j) = -35*j. Let a(u) = 92*u**2. Give b(a(p)).
-3220*p**2
Suppose 3*q + 0*q = 0. Suppose 0 = t + 3, -2*i + t + 9 = -q*i. Let l(f) = -10*f - i*f + 4*f. Let j(v) = 2*v. What is l(j(p))?
-18*p
Let s(z) = 18171*z**2. Let t(n) = -2*n**2. Determine t(s(x)).
-660370482*x**4
Let o(d) = 45*d**2 + d. Let z(w) = 11. Let v(j) = j + 33. Let b(x) = -v(x) + 3*z(x). Give b(o(r)).
-45*r**2 - r
Let y(u) = 1 - 1 - 2*u. Let o(f) = f**2 - 27*f + 27. Let s(i) = -3*i + 3. Let t(m) = 5*o(m) - 45*s(m). Determine y(t(h)).
-10*h**2
Let h(a) = -2*a**2. Let v(k) be the second derivative of 28*k**4/3 - 4*k + 3. Calculate v(h(t)).
448*t**4
Let k(h) = -54*h**2 + 58*h + 3. Let s(m) = m**2. Give k(s(w)).
-54*w**4 + 58*w**2 + 3
Suppose -3*x = -o - 27, o = -5*x + 13 + 40. Let y(p) = 3*p**2 + 6*p**2 - x*p**2. Let c(n) be the second derivative of -n**4/6 - 2*n. Give y(c(l)).
-4*l**4
Let c(n) = -n**2 - 11*n + 3. Let x be c(-10). Let m(y) = -7 - y - 6 + x. Let p(h) be the first derivative of -3*h**2/2 + 1. Calculate m(p(w)).
3*w
Let g(z) be the first derivative of 3 - z**3 + 2 - 2. Let f(h) be the third derivative of -h**5/60 + h**2. Determine f(g(o)).
-9*o**4
Suppose 5*h + 14 + 61 = 0. Let s(a) = -21*a**2 + 15. Let w(m) = 5*m**2 - 4. Let g(x) = h*w(x) - 4*s(x). Let l(k) = -2*k. Determine g(l(y)).
36*y**2
Let k(s) = -s**2 + 4*s + 24. Let m be k(7). Let a(w) = -m*w**2 - 194*w + 194*w. Let n(f) = -16*f. Determine a(n(z)).
-768*z**2
Let u(a) be the second derivative of -13*a**7/2520 - 4*a**4/3 - 12*a. Let z(g) be the third derivative of u(g). Let s(x) = -2*x**2. Calculate s(z(y)).
-338*y**4
Let g(k) = -3*k - 12. Let n(f) = 572*f. Calculate g(n(a)).
-1716*a - 12
Let v(c) = -c**2 + 4*c + 105. Let m(r) = 206*r**2 + 2. Determine v(m(g)).
-42436*g**4 + 109
Let r(b) = -6*b**2. Let a(o) = -949 - 19*o**2 + 949. Determine r(a(i)).
-2166*i**4
Let k(i) be the second derivative of i**4/4 - i. Suppose 4*t - 15 = 9. Let d(s) = -4*s**2 - 5*s**2 + t*s**2. Calculate d(k(u)).
-27*u**4
Let k(n) = -3*n. Suppose -h + 2*o + 6 = 0, -2*h - 2*o = 2 - 8. Let x(g) be the second derivative of 1/4*g**h + 0*g**3 - 2*g + 0 + 0*g**2. Determine x(k(u)).
27*u**2
Let v(y) = -75*y - 84*y + 182*y. Let w(c) = 8*c. Calculate w(v(g)).
184*g
Let b(o) = -5*o. Let z(a) = -a. Let k(r) = -b(r) + 4*z(r). Suppose -3*w + 4*g + g = -121, 196 = 4*w + 2*g. Let s(j) = -w*j - 2 + 2 + 48*j. What is k(s(p))?
p
Let z(k) = 6*k**2 - 15. Let m(t) = t**2 - 1. Let i(j) = j**2. Let y(w) = i(w) - 2*m(w). Let p(g) = 15*y(g) + 2*z(g). Let s(h) = 7*h**2. Give p(s(b)).
-147*b**4
Let f(n) = 1856*n + 1. Let o(b) = 500*b**2. What is f(o(d))?
928000*d**2 + 1
Let m(p) = 3*p**2. Let r be (-3)/(24/10)*(-9 + 1). Let x(u) = -r*u**2 - 16*u**2 + 24*u**2. Calculate m(x(i)).
12*i**4
Let r(x) = x - 50. Le