*i**4 - 96*i**3 + 16*i**2
Let t(l) be the first derivative of -l**2/2 - 4. Suppose -5*m = -6 - 4. Let a(n) = 69*n**2 + 2 - 65*n**m - 2. Determine t(a(k)).
-4*k**2
Suppose -141 - 115 = -128*w. Let y(p) be the first derivative of -9/2*p**w + 11 + 0*p. Let f(r) = 4*r. Calculate f(y(a)).
-36*a
Let r(l) be the first derivative of -13*l**3/3 - 1. Let o(q) be the second derivative of 0 + 0*q**2 + 141*q + 1/3*q**3. What is r(o(u))?
-52*u**2
Let c(j) = 8*j - 3. Let s(f) = -75*f - 28. Let a(w) = -22*w - 8. Let q(k) = -14*a(k) + 4*s(k). Give c(q(y)).
64*y - 3
Let p(y) = -y**2. Suppose 4*w = -2*v - w - 1, 3*v - 5*w + 14 = 0. Let c be v - (-47)/2*2. Let h(s) = -41*s**2 + 2*s - 2*s + c*s**2. Determine h(p(z)).
3*z**4
Let x(w) = -80*w**2 + 3*w. Let v(u) be the third derivative of u**4/24 + 23*u**2 + 14*u. Give v(x(m)).
-80*m**2 + 3*m
Let s(q) = -q**2. Let c = 28 - 13. Let u(m) = -5*m + 2*m - c*m. Give s(u(w)).
-324*w**2
Let a(u) = 4420*u**2. Let d(q) = 68*q**2 + 5*q + 5. Let f(z) = 177*z**2 + 13*z + 13. Let r(i) = -26*d(i) + 10*f(i). What is r(a(s))?
39072800*s**4
Let a(p) = 232*p**2. Let w(j) = 156*j**2. Let m(l) = 4*a(l) - 6*w(l). Let u(n) = -109*n**2. Determine m(u(f)).
-95048*f**4
Let u(q) = -2*q + 9. Let f(n) = -3*n + 15. Suppose 5*r - 18 + 3 = 0. Let l(g) = r*f(g) - 5*u(g). Let z(t) = -2*t - 70. Determine l(z(m)).
-2*m - 70
Let l(f) = 45*f + 1 - 54*f - 1. Let m(o) = o + 286 + 288 - 574. Calculate m(l(p)).
-9*p
Let g(r) = 0*r - 2*r**2 + 31 + 0*r. Let x(q) = 97*q - 33. Let v(s) = 53*s - 18. Let n(o) = 11*v(o) - 6*x(o). What is g(n(b))?
-2*b**2 + 31
Let x(m) = -252 + 242 + 60*m + 10. Let d(p) = -2*p + 5. What is d(x(y))?
-120*y + 5
Let c(z) = z + 1. Let j(m) = -1096*m - 548. Let r(h) = 548*c(h) + j(h). Let i(x) = 3*x**2. What is i(r(p))?
900912*p**2
Let u(p) = -24469*p**2 + 3583*p. Let i(m) = -m. What is i(u(x))?
24469*x**2 - 3583*x
Let i(c) = 56*c + 1. Let m(z) = 212*z + 4. Let q(l) = -4*i(l) + m(l). Let k(y) = 30*y**2. Determine k(q(t)).
4320*t**2
Let t(v) = -234297*v + 1. Let a(y) = 241*y. Determine t(a(b)).
-56465577*b + 1
Let l(k) = 9006*k. Let w(j) = -39*j - 39*j - 37*j + 152*j - 35*j. What is w(l(c))?
18012*c
Let i(z) be the first derivative of 2*z**3 + 30218. Let f(u) = 25*u**2 - 35*u + 35. Let s(x) = 2*x**2 - 3*x + 3. Let r(q) = 3*f(q) - 35*s(q). Determine r(i(b)).
180*b**4
Let p(i) = -3*i. Let t(h) = -868*h + 70. Let z(k) = 147*k - 12. Let d(q) = 6*t(q) + 35*z(q). What is p(d(j))?
189*j
Let o(x) = -16*x. Let b(y) = -89593829*y. What is b(o(q))?
1433501264*q
Let t(k) = 281327319*k. Let n(w) = w. Determine t(n(l)).
281327319*l
Let m(c) be the second derivative of c**4/12 - 152*c. Let j(s) = 6821*s**2. What is j(m(w))?
6821*w**4
Let l(v) be the third derivative of -v**6/360 + 101*v**4/8 - v**2 + 148*v. Let a(h) be the second derivative of l(h). Let d(g) = -83*g**2. Determine a(d(m)).
166*m**2
Let g = -15395 - -30809/2. Let a(j) be the first derivative of g*j**2 - 39 + 0*j. Let k(s) = s. Calculate k(a(p)).
19*p
Let a(u) = 2*u + 154. Let f(i) = 4*i**2 - 4*i - 856. Calculate f(a(w)).
16*w**2 + 2456*w + 93392
Let t(d) = -65*d - 3071 + 6133 - 8*d - 3062. Let q(g) = -20*g. Determine t(q(z)).
1460*z
Let w(a) = 3*a**2. Let p(h) = 6*h**2 - 38*h. Let d(z) be the first derivative of z**3/3 - 3*z**2 - 81. Let g(r) = 3*d(r) - p(r). What is g(w(o))?
-27*o**4 + 60*o**2
Let s(d) = d - 4*d + 13*d + 9*d. Let b(v) be the second derivative of v**4/6 + 92*v - 1. What is b(s(t))?
722*t**2
Let f(w) = 563453*w. Let h(q) = 3*q + 2. Calculate h(f(o)).
1690359*o + 2
Let i(v) = 2*v**2 + 2396275. Let z(j) = 2*j**2 - 25. What is i(z(f))?
8*f**4 - 200*f**2 + 2397525
Let k(v) = 136336 - 17*v - 136336. Let i(m) = -83*m**2. What is k(i(d))?
1411*d**2
Let k(f) be the third derivative of f**4/24 + 2*f**2. Let v(l) = 88*l + 4. Let j(t) = -197*t - 9. Let z(y) = -4*j(y) - 9*v(y). Give k(z(m)).
-4*m
Let m(w) = 1119*w. Let l(h) be the second derivative of -h**4/2 + 18*h - 137. Calculate m(l(b)).
-6714*b**2
Let j(q) = q. Let y(w) = 7*w**2 + 6*w - 52. Let g(h) = -9*h**2 - 7*h + 48. Let c(k) = -2*g(k) - 3*y(k). Calculate j(c(r)).
-3*r**2 - 4*r + 60
Let q(i) = -120*i**2. Let n = -323 - -346. Let s = 7 - 5. Let x(t) = 23 - n + t**s. Calculate x(q(o)).
14400*o**4
Let z(l) = 4*l. Let b(c) = -10 - 2 + 12 - 21*c. Let v(y) = 5*b(y) + 28*z(y). Let t(w) = 3*w. Determine v(t(a)).
21*a
Let l(h) = -2*h. Let r(w) be the second derivative of w**6/360 + 41*w**4/24 + 19*w**3/3 + w + 112. Let u(n) be the second derivative of r(n). Give l(u(a)).
-2*a**2 - 82
Let z(a) = -341 - 340 - 357 - 2*a - 346 + 1384. Suppose -3*o + 8*o = 10. Let d(g) = -g - 1. Let x(s) = -5*s**2 + 2*s. Let i(j) = o*d(j) + x(j). What is i(z(f))?
-20*f**2 - 2
Let r(b) = b. Let c be (0 + 1)/(11/66). Let n(f) = -f + 7. Let u(v) = 2*v - 6. Let h(y) = c*u(y) + 5*n(y). Determine r(h(l)).
7*l - 1
Let m(o) be the second derivative of -17*o**4/4 + 2511*o. Let p(a) = -17*a - 2. Determine p(m(n)).
867*n**2 - 2
Let w(i) be the second derivative of -7*i**3/2 + i**2/2 - i. Let n(x) = -300 + 757 - 2*x**2 - 457. Give w(n(o)).
42*o**2 + 1
Let z(g) = -3457*g - 2. Let p(o) = 20*o**2 + 18*o + 6. Determine z(p(u)).
-69140*u**2 - 62226*u - 20744
Let f(m) = m + 1070943. Let j(x) = -5*x. Calculate f(j(h)).
-5*h + 1070943
Let f(r) = r + 9. Let l be f(-6). Suppose o = -l*o - 5*k, -k = 0. Let g(m) = -4*m**2 + o*m + 2*m**2 + 0*m. Let a(y) = -5*y. Give g(a(w)).
-50*w**2
Let l(f) = -203. Let a(i) = i + 1218. Let t(c) = -a(c) - 6*l(c). Let w(d) = 617*d**2 - 5*d + 2. Give t(w(q)).
-617*q**2 + 5*q - 2
Let h(t) = -3*t**2. Let o(n) be the third derivative of 689*n**5/60 + 1436*n**2. Determine o(h(u)).
6201*u**4
Let s(c) = -8*c**2. Suppose -4*h + 2*q + 28 = 0, h - 16 = -2*q + 1. Let p(a) = -h*a - 34*a - 3*a + 5*a. Give p(s(u)).
328*u**2
Let m(b) = -b**2 - 2. Let w be (-150)/20*12/10. Let s be (-1)/(-1)*(9 + w). Let l(z) = -z - z + z + s. Calculate m(l(v)).
-v**2 - 2
Suppose 0 = 120*d - 116*d - 708. Let k(u) = 177 - d + 3*u. Let j(p) = -20*p. What is k(j(v))?
-60*v
Let b(h) = -46630898*h**2. Let j(a) = 3*a**2. What is j(b(z))?
6523321944859212*z**4
Let n(f) be the third derivative of 835*f**4/6 + 2458*f**2. Let h(x) = -x**2. Calculate n(h(l)).
-3340*l**2
Let i(t) = -2*t - 35. Let y(r) = -217*r**2 - 93. Let g(k) = -27*k**2 - 12. Let a(d) = 31*g(d) - 4*y(d). What is a(i(n))?
124*n**2 + 4340*n + 37975
Let q(v) = 157370227*v. Let n(u) = 3*u. What is q(n(h))?
472110681*h
Let t(m) = 818*m - 413*m - 413*m. Let u(h) = 356*h**2. Give u(t(p)).
22784*p**2
Let n(v) = 2*v + 23. Let w be n(-2). Let h(b) = w*b + 20*b - 2*b**2 - 39*b. Let f(c) = 3*c. What is h(f(t))?
-18*t**2
Let l(j) = 311*j**2 - 1. Let v(d) = 6*d**2 + 220*d - 1. Give v(l(c)).
580326*c**4 + 64688*c**2 - 215
Let b(x) = 3*x + 3*x - 5*x. Let n(g) be the first derivative of g**2 - 184*g - 6078. Calculate n(b(v)).
2*v - 184
Let x(l) = l**2. Let r be -6*((-5)/10 - 0). Suppose -r*w + 50 = -13. Let n(f) = -250*f - 2 - w*f**2 + 250*f. What is x(n(q))?
441*q**4 + 84*q**2 + 4
Let m(s) = 7094*s. Let c(i) = -i - 112. Let o(z) = -z - 126. Let t(p) = -9*c(p) + 8*o(p). Determine t(m(k)).
7094*k
Let g(s) be the second derivative of -s**5/24 - 31*s**3/6 + s**2 - 17*s. Let j(w) be the second derivative of g(w). Let m(i) = -5*i**2. Give m(j(k)).
-125*k**2
Let z(o) = -31207*o. Let p(v) = -29*v. Give p(z(x)).
905003*x
Let d(x) be the second derivative of 0*x**2 - 2*x + 8/3*x**4 + 0 + 0*x**3. Let m(b) = b - 120. Let g(o) = -20. Let p(h) = -6*g(h) + m(h). Calculate d(p(t)).
32*t**2
Let c(z) = 347*z + 346*z + 350*z + 365*z - 1406*z. Let q(r) = r**3 + 3*r**2 - 5*r - 4. Let a be q(-4). Let o(u) = 64*u + a + 0. What is o(c(t))?
128*t
Let q(i) = -9. Let a(s) = -153*s + 24 - 162*s + 314*s. Let j(r) = -3*a(r) - 8*q(r). Let t(v) = -12*v. Determine t(j(n)).
-36*n
Let m(a) = -a**2. Let b(j) = j**2 - 16*j - 34. Let t be (21/6)/7*36. Let u be b(t). Let q(c) = 7*c**2 - 2*c**2 + u*c**2 - 2*c**2. What is q(m(i))?
5*i**4
Let u(k) = -1372*k**2. Let w(h) = -790 + 2*h - 723 + 1513. Determine u(w(m)).
-5488*m**2
Let x(v) = -v - 60. Let d(p) = -3*p - 370. Let f(z) = 6*d(z) - 37*x(z). Suppose 0 = 2*g - 8 + 2. Let k(w) = -4*w + g*w + 3*w. Calculate f(k(y)).
38*y
Let l(a) = -2*a - 76. Let q(f) be the third derivative of -f**4/3 - 6*f**2 + 30*f. Calculate l(q(h)).
1