97*l**3/2 + 1451*l**2. What is g(d(n))?
2*n - 2691
Let o(j) = 53*j**2 - 3*j. Let h(c) be the second derivative of 3*c - 14 + 1/6*c**3 + 0*c**2. Determine h(o(w)).
53*w**2 - 3*w
Let g(w) = -w**2 - 1755160 + 1755160. Let b(u) = 451*u**2 + 4. What is g(b(s))?
-203401*s**4 - 3608*s**2 - 16
Let v(k) = 2*k. Let c(q) = 137*q**2 + 2636*q**2 - 109*q**2 - 387*q**2 + 1999*q**2. Give v(c(m)).
8552*m**2
Let f(y) be the third derivative of 7*y**4/12 + 5*y**2. Let m(u) = 5 - 5 + 51830*u**2 - 51820*u**2. Calculate m(f(c)).
1960*c**2
Let k(u) = 3*u**2. Let a(l) = 4*l - 21. Let j be a(6). Suppose j*d = 3*g + 9, g = -3*g. Let c(o) = -2*o**2 - d*o**2 + 6*o**2 + o**2. Calculate c(k(h)).
18*h**4
Let x(p) = -3*p**2. Let n(f) be the first derivative of f**5/60 + 3*f**2/2 - 39*f - 45. Let i(s) be the second derivative of n(s). What is x(i(j))?
-3*j**4
Let p(a) = 6*a**2 - 18*a - 71*a + 0*a**2 + 89*a. Let l(m) = -811*m**2. Give p(l(k)).
3946326*k**4
Let b(u) = -u. Let i(d) = -3716663*d. What is b(i(a))?
3716663*a
Let b(j) = -54*j**3 - 3*j**2 + 15*j - 16. Let n be b(-12). Let a(v) = n - 92684 - 3*v. Let z(m) = -11*m**2. Calculate a(z(h)).
33*h**2
Let p(q) = -6*q. Let t be -2*(1 - (-5)/10) + 2. Let j(z) = -5*z + 2. Let x(b) = b + 1. Let r(s) = t*j(s) + 2*x(s). Give r(p(c)).
-42*c
Let c(g) = 2*g - 3. Let r(z) = 49*z - 63. Let j(a) = -a**2 + 4*a + 33. Let k be j(8). Let l(v) = k*r(v) - 21*c(v). Let s(q) = 11*q**2. Determine s(l(i)).
539*i**2
Let w(b) = 3*b**2. Let q(x) = 199303*x + 207. Calculate q(w(r)).
597909*r**2 + 207
Let l(w) = -6*w**2. Let z(m) = -12*m. Let o(k) be the third derivative of k**4/6 - 96*k**2. Let f(j) = 3*o(j) - z(j). Calculate f(l(u)).
-144*u**2
Let m(i) = i. Let j(r) = 12*r**2 + 18136*r + 0*r**2 - 31 - 18134*r. Determine m(j(k)).
12*k**2 + 2*k - 31
Let d(t) = 175*t - 434*t + 209*t. Let a(w) = -18*w**2 + 30*w**2 - 11*w**2. Determine a(d(y)).
2500*y**2
Let b(c) = 24*c. Let q(p) = 18*p + 294 - 593 + 299. Determine q(b(j)).
432*j
Let d(j) = -96*j. Let h(z) = -6*z. Let t(b) = -2*d(b) + 33*h(b). Let y be (-30)/(-4) + 1/(-2). Let l(p) = 3*p**2 + y*p**2 + 2*p**2 - 4*p**2. What is l(t(n))?
288*n**2
Let y(j) = j**2 + 1182995 - 1182995. Let m(n) = 7*n**2 - 84 + 87 - 4*n**2. What is y(m(a))?
9*a**4 + 18*a**2 + 9
Suppose 33*k + 2 = 35*k. Let w(n) = -16*n**2 - 20*n. Let o(x) = -5*x. Let a(q) = k*w(q) - 4*o(q). Let i(s) be the second derivative of s**4/6 - s. Give a(i(r)).
-64*r**4
Let h(x) = -2*x. Let o(q) be the third derivative of 5*q**5/12 - 5*q**3/6 - 309*q**2 - 3. Determine o(h(l)).
100*l**2 - 5
Let p(q) be the second derivative of 0*q**2 - 11 - 1/3*q**3 + 2*q. Let y(v) = 2*v**2. Calculate y(p(x)).
8*x**2
Let d(w) = 5*w + 16. Let h(o) = 23*o + 20*o - 96*o + 21*o + 30*o. Calculate h(d(u)).
-10*u - 32
Let k(h) be the first derivative of -h**3 - 1322. Let g(r) = 89*r**2 + r - 2. Calculate g(k(u)).
801*u**4 - 3*u**2 - 2
Let d(x) = -52*x - 20. Let k(q) = 1 - 5 + 17*q + 7 + 2 + 1. Let j(v) = -6*d(v) - 20*k(v). Let t(h) = 3*h. Determine t(j(r)).
-84*r
Let s(x) = 132*x. Let d(p) = -33*p. Let z(h) = -h**2 + 14*h - 30. Let q be z(8). Let a(f) = q*d(f) + 4*s(f). Let v(w) = 2*w**2. Give a(v(l)).
-132*l**2
Let o(f) = 85*f. Let q(t) = -587*t + 5 + 1149*t - 563*t. Determine o(q(g)).
-85*g + 425
Let h(m) = -1268*m. Let s(z) = -17*z - 23*z + 55*z - 10*z. What is s(h(v))?
-6340*v
Let q(h) = 7*h**2. Suppose 29*s + 32 = 45*s. Let b(k) = -15*k**2 + 37*k**s - 29*k**2. Give q(b(v)).
343*v**4
Let s(v) be the first derivative of -v**2/2 - 1844. Let r(p) = -43*p - 1. Give s(r(w)).
43*w + 1
Let p(q) = 4*q. Let x(s) = 28916*s + 1964. Give p(x(t)).
115664*t + 7856
Let z(w) = w + 3. Let o(l) = 238*l**2 + 34*l. Give o(z(a)).
238*a**2 + 1462*a + 2244
Let r(h) = -19*h**2 + 18*h - 82. Let v(d) = 34*d**2. Give r(v(y)).
-21964*y**4 + 612*y**2 - 82
Let k(f) be the second derivative of 1/3*f**4 + 21*f + 0 + 0*f**2 + 0*f**3. Let c(w) be the second derivative of 7*w**4/12 - 13*w + 4. What is c(k(d))?
112*d**4
Let n(o) = -32*o**2 + 3. Let r(f) = 3*f**2 - 2*f - 12. Let l(h) = -39*h**2 + 27*h + 162. Let k(s) = 2*l(s) + 27*r(s). Give k(n(a)).
3072*a**4 - 576*a**2 + 27
Let z(k) = -2*k. Let d(t) = 24*t. Suppose 0 = r, 0 = -4*j + 5*j + r + 1. Let i(a) = j*d(a) - 8*z(a). Let b(p) = 11*p**2. Determine i(b(g)).
-88*g**2
Let i(r) = -2*r**2. Let m = 283 + -265. Let c(w) = -3 + 3*w + 3*w - 9 - m*w. Determine i(c(y)).
-288*y**2 - 576*y - 288
Let y(k) = -k**2 + 4. Let j(t) = 6*t**2 + 9*t + 123. Let h be j(-6). Let p(r) = h + 2*r - 576 + 291. Calculate y(p(n)).
-4*n**2 + 4
Suppose 387 = 3*b - 4*t, -4*b = -7*t + 4*t - 509. Let j(d) = b*d - 62*d - 77*d. Let u(k) = -10*k**2. Determine j(u(f)).
140*f**2
Let h(d) = 14*d. Let j(a) be the third derivative of -1/24*a**4 - 67*a**2 + 2*a + 0 + 0*a**3. What is h(j(t))?
-14*t
Let l(k) = -8*k**2. Let m(t) be the second derivative of 137*t**4/6 + 2869*t. Determine l(m(b)).
-600608*b**4
Let a(g) = -g**2 + 3*g. Let z(k) = -2*k**2 + 7*k. Let v(u) = -7*a(u) + 3*z(u). Let d(r) = -35950 + 35950 - 312*r - 194*r. Give d(v(b)).
-506*b**2
Let x(b) = -7*b + 5. Let a(z) = 6*z - 4. Let y(r) = -5*a(r) - 4*x(r). Let i(u) be the third derivative of u**5/10 - u**3/6 - 6*u**2 + 2016*u. Give y(i(s)).
-12*s**2 + 2
Let g(u) = -2*u**2 + 1. Let y(o) = o**2 + 1. Let w(v) = -g(v) + y(v). Let k(i) = 19*i - 17*i + 20*i - 43 - 20*i. Determine w(k(t)).
12*t**2 - 516*t + 5547
Let x(k) = 64*k. Let l(n) be the first derivative of n**6/120 - 55*n**3 - 207. Let s(u) be the third derivative of l(u). Calculate x(s(r)).
192*r**2
Let f(b) = -4*b**2 - 5. Let q(m) be the first derivative of 10*m**2 + 1370. What is f(q(t))?
-1600*t**2 - 5
Let u(p) = 25*p**2. Let w(x) = -3686672*x. Give w(u(f)).
-92166800*f**2
Let h(a) be the second derivative of -a**4/6 - 3*a. Suppose 6*i = 272 + 154. Let p(y) = -134*y**2 + i*y**2 + 74*y**2. What is p(h(k))?
44*k**4
Let k(h) = -7*h - 27. Let c(t) = 26*t + 99. Let m(a) = 3*c(a) + 11*k(a). Let u(x) = 1727*x**2. Give u(m(r)).
1727*r**2
Let n(a) be the first derivative of -a**3/3 - 54. Let q(c) = c**2 + 2*c - 2. Let u(s) = -25*s**2 - 4*s + 4. Let d(m) = 2*q(m) + u(m). What is d(n(x))?
-23*x**4
Suppose 5*j - 3639 = 1466. Let k(t) = -1021 + j + t**2. Let r(g) be the third derivative of -7*g**4/24 + 3*g**2. Determine k(r(n)).
49*n**2
Let x(u) = -3*u. Let v(h) = -1005*h - 1199*h + 940*h. Determine v(x(p)).
3792*p
Let p(i) = -159*i**2. Let u(k) be the second derivative of -5*k**4/6 - k + 491. Determine p(u(d)).
-15900*d**4
Let b(a) = -30937*a**2. Let k(u) = 174*u**2. Calculate k(b(y)).
166535046606*y**4
Let r(h) = -h**2 + 121. Let d(z) = -11 + 3228*z - 3230*z + 11. Determine r(d(x)).
-4*x**2 + 121
Let y(i) = 11*i**2 + 12*i + 2. Let f(w) = 15*w**2 + 13*w + 3. Let u(g) = 2*f(g) - 3*y(g). Let v(o) = 7*o. Give v(u(b)).
-21*b**2 - 70*b
Let y(l) = l + 5*l - 6*l - 2*l. Let m(w) be the second derivative of -w**5/30 - 31*w**2/2 + 30*w. Let t(i) be the first derivative of m(i). Calculate y(t(o)).
4*o**2
Let n(m) be the second derivative of -m**3/3 + 1272*m. Let u(y) = -y + 508. Determine u(n(c)).
2*c + 508
Let o(g) = -1427*g. Let k(n) = -36371*n. What is o(k(h))?
51901417*h
Let n(v) = 345*v - 68. Let y(b) = -172*b + 41. Let g(m) = -3*n(m) - 5*y(m). Let l(a) = -a. Give l(g(h)).
175*h + 1
Let i(l) = -4 - 261*l - 208*l + 467*l + 4. Let w(y) = -y - 1. Let n(d) = d**2 + 12*d + 6. Let u(s) = -n(s) - 6*w(s). What is u(i(q))?
-4*q**2 + 12*q
Let h(w) = -162583595*w - 1. Let m(k) = -k. Give h(m(b)).
162583595*b - 1
Let r(q) = -221*q. Let n(o) = 8*o - 57369. Calculate r(n(z)).
-1768*z + 12678549
Let d(q) be the third derivative of -451*q**4/24 + 11*q**2 + 5. Let a(k) = -7*k. Calculate a(d(o)).
3157*o
Let h(w) = -12217 + 12217 + w. Let v(n) be the second derivative of 89*n**4/12 - 2*n. Calculate v(h(g)).
89*g**2
Suppose 0 = 4*q - 2*q - 104. Let v(z) = -106*z + 48*z + q*z. Let r(g) = -6*g**2. Determine r(v(k)).
-216*k**2
Let i(k) = -k + 1. Let r(x) = 3. Let j(u) = -3*i(u) + r(u). Let f = -103 + 108. Let s(z) = 4*z + f*z + 4*z - 10*z. Give s(j(w)).
9*w
Let d(o) = -19*o**2 - 42*o. Let w(i) = 32*i - 133*i + 35*i + 34*i + 31*i. What is d(w(m))?
-19*m**2 + 42*m
Suppose 0 = -56*f - 71 + 239. Let m(q) = -9*q + 24. Let z(u) = 3*u - 10. Let j(o) = f*m(o) + 8*z(o). Let w(y) = 2*y. Give w(j(g)).
-6*g - 16
Let t(v) = 160010