4*v - 3
Let t(v) = -1471*v. Let h(g) be the first derivative of -g**2/2 - 1934. Calculate t(h(s)).
1471*s
Let t(l) = -2*l**3 - 5*l**2 + 9*l + 77. Let k be t(-7). Let u(f) = -177*f + 96 + k*f - 96. Let y(x) = x. What is u(y(a))?
278*a
Let n(h) be the third derivative of -29*h**5/60 + h**4/24 - 35*h**2 - 18. Let t(s) = 35*s**2. Calculate n(t(p)).
-35525*p**4 + 35*p**2
Let l(c) be the second derivative of 5*c**4/3 - 17*c + 1. Let t(k) = -5*k + 0*k + 10*k + 7*k. Give l(t(a)).
2880*a**2
Let p be (-178)/(-1 + -4 + 26/6). Let f(w) = p*w**2 - 263*w**2 + w - w. Let k(v) = -8*v. Give k(f(o)).
-32*o**2
Let f(s) = -66*s**2 - 1725*s + 17. Let r(k) = -k**2. What is f(r(v))?
-66*v**4 + 1725*v**2 + 17
Let b(s) = 4*s**2. Let v(i) = i**2 + 36958*i + 7. Give v(b(y)).
16*y**4 + 147832*y**2 + 7
Let d(f) = 11*f**2. Let b(u) = 17*u**2 + 3*u + 6. Let x(m) = 16*m**2 + 4*m + 8. Let h be ((-40)/5 - -7)*3. Let o(q) = h*x(q) + 4*b(q). What is o(d(c))?
2420*c**4
Let b(z) be the first derivative of -z**3 + 115*z - 58. Let u(a) be the first derivative of b(a). Let m(y) = 18*y**2. Determine u(m(s)).
-108*s**2
Let t(h) = 1626632*h**2 - 1626644*h**2 - 2 + 2. Let i(j) = -4*j - 5. Give t(i(v)).
-192*v**2 - 480*v - 300
Let q(n) be the third derivative of 89*n**5/60 - 6*n**3 - 10*n**2 - 154. Let k(a) = 2*a**2. What is k(q(l))?
15842*l**4 - 12816*l**2 + 2592
Let g(m) = -2*m - 43. Let y be g(-22). Let x(h) = -1 + y + 96*h - 92*h. Let q(j) = -j**2 - 6. Let l(w) = -w**2 + 1. Let v(f) = 6*l(f) + q(f). What is x(v(n))?
-28*n**2
Let p(a) = 73*a + 112*a - 184*a. Let n(h) = 1950*h. Give p(n(g)).
1950*g
Let v(f) = -2*f**2. Let x(w) = -986134 + 986134 + 2616*w**2. Determine x(v(i)).
10464*i**4
Let k(w) = 3054*w. Let o(z) = 3071*z. Give k(o(c)).
9378834*c
Let v(p) = -164*p**2 - 2*p. Let n(i) = 9*i - 115. Let u(y) = -14*y + 184. Let w(b) = 8*n(b) + 5*u(b). Determine w(v(d)).
-328*d**2 - 4*d
Let v(a) = -5*a**2 + 16*a + 8. Let b(r) = -2*r**2 + 6*r + 3. Let t = 484 + -476. Let m(q) = t*b(q) - 3*v(q). Let l(s) = -20*s**2 + 2*s. Give m(l(z)).
-400*z**4 + 80*z**3 - 4*z**2
Let m(y) = -120*y**2 + 854*y - 70. Let t(k) = 40*k**2 - 305*k + 23. Let f(n) = 5*m(n) + 14*t(n). Let p(s) = -s**2. What is f(p(q))?
-40*q**4 - 28
Let t(r) = 2*r**2 - 169*r. Let j(p) = -55*p**2 - 240*p. Let h(u) = -2*u**2 - 9*u. Let w(c) = 80*h(c) - 3*j(c). What is t(w(m))?
50*m**4 - 845*m**2
Let y(f) be the first derivative of -3*f**2 - 28*f - 4741. Let b(w) = -2*w**2. Give y(b(l)).
12*l**2 - 28
Let r(l) = -4*l - 432. Let o(m) = -2*m - 36. Let v(i) = 12*o(i) - r(i). Let n(x) = -x + 32. What is n(v(y))?
20*y + 32
Let c(g) = 59*g - 6. Let o(k) = 1001*k - 105. Suppose -4*y - 29 = -2*q - 13, 2*q - 1 = y. Let p(t) = q*o(t) + 35*c(t). Let j(u) = 2*u**2. What is j(p(z))?
7938*z**2
Let l(r) = -3774*r**2 - 10. Let c(q) = -9306682*q**2 - 24661. Let p(s) = 10*c(s) - 24661*l(s). Let n(o) = 2*o**2. Determine n(p(k)).
28788872*k**4
Let d(g) = -4630*g. Let m(s) = 659*s**2. Determine m(d(i)).
14126917100*i**2
Let d(w) = 13*w. Let b(u) = 332*u + 23606 - 7871 - 7865 - 7871 - 111*u. Determine d(b(c)).
2873*c - 13
Let n(h) be the first derivative of 4*h**3/3 - 11944. Let j = 3 + 5. Let x(z) = 12*z**2 - j*z**2 + 14*z**2. Give x(n(o)).
288*o**4
Let p(m) = 2324*m + 12*m**2 + 2344*m - 4668*m. Let n(v) = -2*v - 173. Determine n(p(k)).
-24*k**2 - 173
Let d(g) = 32*g**2 + 11*g - 1. Let p(s) = -s**2 - s. Let v(t) = -2*d(t) - 22*p(t). Let m(l) = -8*l. What is v(m(c))?
-2688*c**2 + 2
Let y(u) be the first derivative of -36*u**2 - 7609. Let w(j) = -25*j. Determine y(w(a)).
1800*a
Let z(i) = 2*i**2. Let f(n) = n + 13. Let s(d) = -d**2 - 14*d - 49. Let r be s(-10). Let m(t) = 24. Let u(v) = r*f(v) + 5*m(v). What is z(u(g))?
162*g**2 - 108*g + 18
Let x(g) = 264*g**2 - 1. Suppose p = -5*k + 49, 13*k - 5*p - 55 = 8*k. Let n(i) = 8*i - k*i + 0*i. Determine x(n(b)).
1056*b**2 - 1
Let j(f) = 6*f. Let n(x) = 41731886*x**2. Calculate j(n(m)).
250391316*m**2
Let t(c) be the first derivative of -c**4/3 + 309*c - 297. Let s(z) be the first derivative of t(z). Let j(f) = -54*f. Calculate j(s(i)).
216*i**2
Let w(g) = -77*g**2. Let c(p) = -374*p + 5*p**2 - 4*p**2 - 5*p**2 + 374*p. Give c(w(j)).
-23716*j**4
Let g(y) = 15*y**2. Let d(v) be the third derivative of 5*v**4/8 + v**3/6 - 2*v**2 + 189. Calculate d(g(x)).
225*x**2 + 1
Let y(u) = 86867*u + 1. Let h(o) = -463*o. Calculate h(y(c)).
-40219421*c - 463
Let h(y) be the third derivative of -y**7/180 - 7*y**4/3 - 26*y**2. Let j(g) be the second derivative of h(g). Let a(l) = 3*l. What is j(a(x))?
-126*x**2
Let j(g) = 37*g - 17*g - 21*g. Let l be (-86)/(-4) - (55/10 - 5). Let t(p) = -l*p**2 + 2*p + p + 19*p**2 - p. Calculate t(j(c)).
-2*c**2 - 2*c
Let q(i) = 8*i**2 - 9*i. Let y(m) be the second derivative of 11*m**3/6 - 6*m - 21. Give q(y(p)).
968*p**2 - 99*p
Let t(m) = 13*m + 5. Let z(b) = -16*b - 6. Let w(v) = 6*t(v) + 5*z(v). Let f(u) = -12 - 1 - 6 - 4*u**2 - 6. Determine w(f(p)).
8*p**2 + 50
Let t(z) be the first derivative of -19*z**5/60 - 3*z**2/2 - 6*z - 10. Let s(o) be the second derivative of t(o). Let l(x) = -2*x. Determine l(s(f)).
38*f**2
Let r(q) = 6561*q. Let y(u) = -298*u**2 - 1. Determine y(r(o)).
-12827922858*o**2 - 1
Let p(z) = 16*z**2. Let m(d) = -43*d - 186. Let r(g) = -93*g - 380. Let y(i) = 13*m(i) - 6*r(i). What is y(p(h))?
-16*h**2 - 138
Let n(b) be the first derivative of -5*b**3 - 2370. Let o(c) = 479*c**2. Calculate n(o(k)).
-3441615*k**4
Let y(o) = 51*o**2. Let c(t) be the second derivative of -t**3 - 9410*t. Determine y(c(s)).
1836*s**2
Let h(j) = -39642*j**2 + 77*j + 2. Let b(s) = -7*s. Determine b(h(c)).
277494*c**2 - 539*c - 14
Let x(u) = 26*u. Let t(h) = 6*h**2 - 2214 + 2198 - 4*h**2. Calculate x(t(v)).
52*v**2 - 416
Let i(k) = -2*k**2. Let g(f) be the second derivative of -f**4/12 - 65*f. Let u(j) = -5*g(j) + 3*i(j). Let w(n) = -n**2 - 12*n. What is u(w(a))?
-a**4 - 24*a**3 - 144*a**2
Let c(h) = 3*h. Suppose 0 = -14*q - 6*q + 300. Let y(p) = q - 6*p**2 - 15 + 0 + 3*p. What is y(c(j))?
-54*j**2 + 9*j
Let a(v) = -4378670*v**2. Let t(q) = q. Give t(a(l)).
-4378670*l**2
Let l(r) be the second derivative of 7*r**6/180 + r**5/120 + 13*r**3/2 - 2*r - 28. Let u(z) be the second derivative of l(z). Let o(d) = -2*d**2. Give o(u(j)).
-392*j**4 - 56*j**3 - 2*j**2
Let f be ((-246)/(-4))/(4*1/16). Suppose -g + a = -3*g + 495, 2*g - 3*a = 483. Let h(w) = 5*w**2 + g*w - f*w. Let d(q) = -2*q**2. Calculate d(h(p)).
-50*p**4
Suppose 0 = 5*z + 6*z - 45001. Let o(i) be the third derivative of -26*i**2 + z*i**3 - 4091*i**3 + i**4. Let v(g) = 3*g**2. Give o(v(k)).
72*k**2
Let d(g) = -12*g**2 - 71*g + 23*g**2 - 12*g**2 + 69*g - 2. Let x(v) = -2*v**2 - 3*v - 3. Let w(r) = 3*d(r) - 2*x(r). Let c(l) = -l - 16. Determine c(w(b)).
-b**2 - 16
Suppose -102*u + 5*j = -100*u + 20, -8 = -3*u - 2*j. Let c(w) be the first derivative of 4/3*w**3 + u*w**2 + 0*w + 7. Let g(q) = -8*q**2. Determine g(c(x)).
-128*x**4
Suppose 12*g - 310 = 830. Suppose 3*j - b = 8*j - g, -19 = -j - 3*b. Let v(h) = j*h - 5 - 21*h + 5. Let l(q) = 40*q**2. Determine l(v(x)).
160*x**2
Let b(f) be the first derivative of 59*f**2 + 29007. Let o(d) = -1. Let s(r) = r + 1. Let z(x) = -2*o(x) - 2*s(x). Give b(z(a)).
-236*a
Let g(k) = 5*k**2 - 24*k + 34. Let b be g(6). Let o(f) = 31*f - b*f + 38*f. Let h(s) = -2*s**2 + 2*s. What is h(o(z))?
-2*z**2 - 2*z
Let r(d) = 16060*d + 2. Let w(s) = -90*s**2. Determine r(w(j)).
-1445400*j**2 + 2
Let w(t) be the third derivative of -227*t**4/24 - 3984*t**2. Let n(s) = 2*s**2 - s**2 - 3*s**2. Give w(n(a)).
454*a**2
Let n(y) = -10*y**2. Suppose -2*m + 2*k = -14, -5*m - 3*k - 10 = -5. Let a(l) = 19*l**2. Let o(s) = -5*s**2. Let q(v) = m*a(v) + 9*o(v). What is n(q(r))?
-490*r**4
Let j(h) = 56*h**2 + 22. Let m(d) be the second derivative of d**3/6 - 108*d + 14. What is m(j(x))?
56*x**2 + 22
Let f(p) = 2*p. Let y(n) = -59463234*n. Calculate f(y(r)).
-118926468*r
Let p(k) = -41*k**2 + 2. Let z(s) = -s**2 - s - 18407. Calculate z(p(f)).
-1681*f**4 + 205*f**2 - 18413
Let d = -519 - -519. Let h(f) be the second derivative of 0*f**2 + 6*f + 1/3*f**3 + d. Let c(x) = -5*x. Give c(h(q)).
-10*q
Let t(u) be the first derivative of -u**3/3 + 44365. Let a(o) = 39*o + 64*o - 2*o. Determine t(a(r)).
-10201*r**2
Let d(t) = 62*t**2 - 2*t. Let b