3
Let m(k) = -2*k + 240. Let i(t) = t - 100. Let w(j) = -12*i(j) - 5*m(j). Let d(n) = 7*n**2 - 1. Give d(w(a)).
28*a**2 - 1
Let r(b) = 112*b + 2. Let t(j) = -382*j**2 - 395*j**2 + 775*j**2. Calculate t(r(d)).
-25088*d**2 - 896*d - 8
Let l(p) = p**2 - 15*p - 15. Let x be l(17). Let t(a) = 16*a - 35*a + x*a - 4*a**2. Let n(u) = 5 + 4*u - 4 - 1. Determine t(n(h)).
-64*h**2
Let o = 156 - 153. Let g(x) = -199*x + 199*x + o*x**2 + 11. Let q(v) = v. What is q(g(i))?
3*i**2 + 11
Let u(f) = 3*f + 2. Let d(c) = -4*c - 3. Let v(z) = -2*d(z) - 3*u(z). Suppose 4*y - 15 = -p, -2*y + 16 = 2*p - y. Let w(n) = -p*n + 14*n + 9*n. What is v(w(i))?
-16*i
Let u(n) = -7*n. Let p(f) = f - 20. Let i be p(14). Let j be 4/i - (-100)/15. Let v(o) = -o. Let r(w) = -6*w. Let h(m) = j*r(m) - 34*v(m). Determine h(u(t)).
14*t
Let s(o) = 11*o. Let d(r) be the third derivative of 0*r**3 + 0*r + 1/8*r**4 - 50*r**2 + 0. Calculate s(d(l)).
33*l
Let p(s) = 2*s. Let w(k) be the first derivative of -7*k**4/12 - k**3/3 - 155*k - 30. Let x(d) be the first derivative of w(d). Give p(x(r)).
-14*r**2 - 4*r
Let c(i) = -3*i**2 - 6*i + 65. Let k(o) = 220*o + 2. Determine k(c(l)).
-660*l**2 - 1320*l + 14302
Let h = 3 - 3. Let j(n) = 2*n + h*n - 5*n. Let x(l) = -5*l**2. Let o(b) = 14*b**2. Let m(c) = 4*o(c) + 12*x(c). Determine j(m(i)).
12*i**2
Let r(k) = -16*k**2 + 2*k. Let n(u) be the first derivative of 21 + 0*u + 4/3*u**3 + 0*u**2. Determine n(r(s)).
1024*s**4 - 256*s**3 + 16*s**2
Let q(i) be the second derivative of 7*i**3/3 - i**2 - 4170*i. Let f(t) = -3*t**2. Calculate q(f(a)).
-42*a**2 - 2
Let j(s) = -4*s. Let v(k) = -6045*k**2 - 2*k + 6898. Give v(j(o)).
-96720*o**2 + 8*o + 6898
Let v(m) = 4*m**2 - 5*m - 4. Let r(g) = -9*g**2 + 9*g + 7. Let b(y) = -4*r(y) - 7*v(y). Let k(w) be the third derivative of w**4/12 + 12*w**2. Give k(b(q)).
16*q**2 - 2*q
Let d(i) = 650*i**2. Let y(c) = -795*c**2 - c + 5. Calculate y(d(m)).
-335887500*m**4 - 650*m**2 + 5
Let v(y) = -3*y**2 - 154. Let m(o) = -5*o**2 + 6*o - 12. Let i(x) = 34*x**2 - 40*x + 80. Let s(a) = 3*i(a) + 20*m(a). Determine s(v(w)).
18*w**4 + 1848*w**2 + 47432
Suppose -3*t = 3*g + 21, 3*g + 25 = 2*t - 16. Let y(h) = -h - 9. Let b be y(g). Let i(n) = 3*n**2 + 12*n**b - 5*n**2. Let z(m) = 2*m**2. Calculate z(i(v)).
200*v**4
Let m(f) be the first derivative of -1 - 37/3*f**3 + 0*f + 0*f**2. Let k(j) = -292*j - 115. Let s(a) = 350*a + 138. Let b(l) = 6*k(l) + 5*s(l). Give b(m(q)).
74*q**2
Let v(a) be the first derivative of a**6/360 + 11*a**3/3 - 7*a + 47. Let y(d) be the third derivative of v(d). Let j(g) = 47*g**2. What is y(j(p))?
2209*p**4
Let g(t) = -t**2. Let d(w) be the third derivative of 39*w**4/8 - 5*w**3/6 - 3*w**2 - 20. What is d(g(z))?
-117*z**2 - 5
Let g(o) = 27*o**2. Let a(t) = -7*t**2. Let c(l) = 4*a(l) + g(l). Let p(n) = -4335*n**2. Determine c(p(y)).
-18792225*y**4
Let f(b) = -51*b**2. Let y(p) = 32*p**2 + 31*p**2 + 59*p**2 - 125*p**2. Give y(f(d)).
-7803*d**4
Let a(x) = -140*x - 21. Let j(h) = -123*h - 18. Let i(q) = -6*a(q) + 7*j(q). Let p(c) = -377*c**2. Give p(i(n)).
-166257*n**2
Let v(j) be the third derivative of -4*j**2 - j + 0 + 1/24*j**4 + 0*j**3. Let r(s) = -2*s**2. Determine r(v(q)).
-2*q**2
Let v(f) = -677470*f**2. Let w(z) = -164*z. Determine v(w(r)).
-18221233120*r**2
Let h(f) be the second derivative of -f**4/6 - 11*f**2/2 + 2*f + 420. Let w(l) = 38*l. What is h(w(v))?
-2888*v**2 - 11
Let x(l) = -l**2 - 6*l - 18389. Let y(v) = -34*v. Calculate y(x(u)).
34*u**2 + 204*u + 625226
Let d(n) = -15*n. Let h(l) = -2*l**2 - 5*l + l + 3*l**2. Let c(q) = 110*q + 111*q - 329*q + 107*q. Let k(t) = -4*c(t) + h(t). Determine d(k(g)).
-15*g**2
Let y(g) be the third derivative of 529*g**4/24 + 231*g**2. Let u(x) = 5*x**2. What is y(u(k))?
2645*k**2
Let j(i) = -18*i. Let c(u) = 13326 - 48*u - 13326 - 10*u - 16*u. Calculate j(c(x)).
1332*x
Let k(r) = 3*r**2 - 1. Let t(u) = 78*u + 1 - 2 - 128*u + 49*u + 7. What is t(k(y))?
-3*y**2 + 7
Let s(v) be the second derivative of -v**3/6 + 5*v. Let a(w) = 256*w - 56. Let g(z) = 29*z - 6. Let n(q) = 6*a(q) - 56*g(q). Determine s(n(k)).
88*k
Let b(j) = -1804*j - 1809*j + 3615*j. Let s(d) = -13*d + 10. Let t(u) = -7*u + 4. Let c(y) = 4*s(y) - 7*t(y). Determine b(c(f)).
-6*f + 24
Let x(a) = 3*a. Let c = 10 - -3. Let i(m) be the first derivative of 3*m**2 - c + 30 + 33 - 4*m**2. Determine x(i(z)).
-6*z
Let d(v) = -31*v**2. Let k(f) = 22*f**2. Let m(h) = -12*d(h) - 17*k(h). Let z(l) = 3*l + 2*l + 39*l. What is z(m(q))?
-88*q**2
Let v(o) = -117890 - o**2 + 117890. Let p(t) = -2122*t**2. Determine p(v(z)).
-2122*z**4
Let q(w) = 40*w**2 - w. Let g(v) = 43517*v - 2*v**2 - 43517*v. Determine g(q(n)).
-3200*n**4 + 160*n**3 - 2*n**2
Let h(a) = 2*a. Let v(k) = 10972404*k. Determine v(h(i)).
21944808*i
Let o(g) = 291*g - 2. Let b(j) be the second derivative of -j**4/12 + 2181*j. Give b(o(y)).
-84681*y**2 + 1164*y - 4
Let z(v) = v - 2. Let s(c) = -51*c + 8. Let p(q) = -s(q) - 4*z(q). Let m(u) = -11*u + 1. Give p(m(d)).
-517*d + 47
Suppose 5*c - 4*f = -2, -5*c + 8 - 1 = -f. Let q(g) = -7*g**2 - 14*g**c + 23*g**2. Let t(h) = 0 + 7*h + 0. Determine t(q(b)).
14*b**2
Let o(m) = 4110687*m - 1. Let i(n) = -2*n - 11. Give o(i(g)).
-8221374*g - 45217558
Let a(y) = -40895709*y. Let v(g) = -2*g**2. What is a(v(f))?
81791418*f**2
Let j(g) be the first derivative of -2*g**3 - 1576. Let f(q) = -71*q. Give j(f(b)).
-30246*b**2
Let t(q) = -7*q**2 + 26. Let r(g) = 22900*g. Determine t(r(b)).
-3670870000*b**2 + 26
Let q(x) be the third derivative of x**4/24 + 779*x**2 + x. Let g(d) = 2*d**2 - 1251. Give g(q(k)).
2*k**2 - 1251
Let i(n) = -14*n**2. Let v(h) = -13*h**2 - 7*h - 248. Let j(t) = -14*t**2 - 6*t - 213. Let w(o) = -7*j(o) + 6*v(o). What is i(w(q))?
-5600*q**4 - 1680*q**2 - 126
Let i(t) = 4*t. Suppose 0 = 269*g - 266*g + 60. Let q(o) = -28*o**2. Let n(v) = -4*v**2. Let s be (-3 + 0)*2/(-2). Let b(x) = g*n(x) + s*q(x). What is b(i(c))?
-64*c**2
Let r(x) = 13*x + 2. Let j(n) = -n**2 + 12*n. Let a(w) = -2*w**2 + 27*w. Let o(q) = -4*a(q) + 9*j(q). Calculate r(o(v)).
-13*v**2 + 2
Let y(k) = 2248787*k. Let p(n) = -25*n**2. Calculate p(y(o)).
-126426074284225*o**2
Let a(r) be the first derivative of -2*r**3/3 + 15. Let v(n) be the third derivative of -49*n**4/8 + 2*n**2 - 105. Give a(v(p)).
-43218*p**2
Let d = -351 - -354. Let h(p) = d*p - 34*p + 10*p + p. Let x(i) = -2*i. Give x(h(n)).
40*n
Let t(q) = -2*q. Let r(z) = 23740*z**2 - 105*z. Give t(r(b)).
-47480*b**2 + 210*b
Let h(j) = -142*j - 2 + 177*j + 2 - 36*j. Let r(x) = -10091*x. What is h(r(g))?
10091*g
Let v(h) = 834*h + 1 + 427*h - 119*h - 240*h + 208*h. Let d(j) = 2*j. Give d(v(o)).
2220*o + 2
Let g(b) = -288*b + 42. Let f(v) = -2*v**2 - 17*v. What is g(f(l))?
576*l**2 + 4896*l + 42
Let b(t) = -2*t**2. Let a(f) be the third derivative of -f**4/12 - 13*f**3/6 - 235*f**2. Calculate b(a(o)).
-8*o**2 - 104*o - 338
Let c(a) = -4*a - 19*a - 848*a**2 - 871*a**2 + 23*a. Let x(t) = 5*t. What is x(c(i))?
-8595*i**2
Let o(u) = 151102*u. Let s(d) = -41*d**2 + d. Determine s(o(v)).
-936104390564*v**2 + 151102*v
Let m(l) = 2*l**2. Let r(w) = -1848826789*w. Calculate m(r(y)).
6836320991448101042*y**2
Let m(l) = -58*l + 17. Suppose 3*k + 5*u = 28, -u + 4*u = -2*k + 18. Let i(y) = -10*y + 3. Let b(w) = k*m(w) - 34*i(w). Let z(o) = 9*o**2. What is z(b(q))?
576*q**2
Let t(y) = -y. Let a(x) = 1. Let h(r) = 588*r**2 + 77. Let i(s) = 154*a(s) - 2*h(s). Give t(i(o)).
1176*o**2
Suppose -4*o - 29*o + 66 = 0. Let j(r) = -19344*r + 19344*r + 20*r**o. Let s(l) = l + 2*l + 0*l. Calculate s(j(v)).
60*v**2
Let t(n) be the second derivative of -n**5/60 + 31*n**2/2 + 156*n. Let d(m) be the first derivative of t(m). Let r(k) = -13*k. Calculate d(r(x)).
-169*x**2
Let p(i) be the first derivative of -i**3/3 - 2. Suppose -3*o = -29 - 100. Let c(s) = -37*s**2 + 123*s**2 - o*s**2 - 42*s**2. Give p(c(y)).
-y**4
Let p(h) = h**2 + 2. Let o(g) = -1. Let f(c) = 2*o(c) + p(c). Let j(b) = 161*b**2 - 34*b**2 + 255*b - 128*b - 127*b. Give j(f(v)).
127*v**4
Let a(o) be the second derivative of 709*o**3 + 3975*o. Let n(h) = 2*h. What is a(n(k))?
8508*k
Let g(p) = 3*p. Let h(v) = -82*v + 18272. Let t(y) = -15*y + 3655. Let z(r) = -2*h(r) + 11*t(r). Give z(g(d)).
-3*d + 3661
Let b(r) = 133*r**2. Let n(z) be 