50*v**2 - 112480*v + 2966
Suppose -16 = -i - 2*i - j, -j + 28 = 5*i. Suppose i*q = 26 + 4. Let n(g) = 3 - 18*g + 12*g - 2 + q*g. Let l(m) = 2*m**2. Determine l(n(d)).
2*d**2 - 4*d + 2
Let l(g) = 12*g - 31 + 3*g - 17*g - 211 + 3*g. Let z(b) = -4*b**2. Determine l(z(r)).
-4*r**2 - 242
Let i(x) be the third derivative of -x**5/30 + x**2 - 6. Let a(c) be the first derivative of 7 + 0*c + 0*c**2 + 4/3*c**3. Determine a(i(d)).
16*d**4
Let n(o) = -2*o - 2. Let z(j) = 9582*j + 84. What is z(n(r))?
-19164*r - 19080
Let j(s) be the second derivative of -161*s**3/3 + 3*s**2/2 - 858*s + 2. Let b(f) = -f. Give b(j(d)).
322*d - 3
Let v(f) = -2*f**2. Let l(x) be the first derivative of -x**4/8 + 13*x**3/3 - 34*x**2 - 40. Let u(k) be the second derivative of l(k). What is u(v(q))?
6*q**2 + 26
Let k(m) be the second derivative of 2*m**3/3 + m. Let y(t) = -9*t + 21*t - 5*t. Let w(g) = -g**2 + g. Let x(o) = -7*w(o) + y(o). What is x(k(p))?
112*p**2
Let v(t) = -3087*t. Let g(f) be the second derivative of f**4/6 - 862*f. What is g(v(m))?
19059138*m**2
Let b(j) = -3*j**2. Let i(r) = 811553*r**2. Give i(b(h)).
7303977*h**4
Let z(j) be the third derivative of 37*j**5/10 + j**4/8 + 6*j**2 - 24*j. Let g(b) = 4*b. Calculate z(g(y)).
3552*y**2 + 12*y
Let x(m) = -22*m. Let z(l) = -32*l. Suppose 28 = 5*v + 7*h - 4*h, 4*v + 5*h - 25 = 0. Let d(t) = v*z(t) - 7*x(t). Let g(n) = -22*n**2. Determine d(g(f)).
132*f**2
Let r(n) = -n + 485530 - 485530. Suppose -3*i + 4*u + 26 = 0, -4*i + 3*u + 33 = -2*u. Let j(a) = 3 - 3*a**i + 3 + a**2 - 4*a**2. Give j(r(h)).
-6*h**2 + 6
Let f(c) = -8866*c + 6. Let a(i) = -2*i**2 - 28*i. Give f(a(j)).
17732*j**2 + 248248*j + 6
Let k(f) be the third derivative of 47*f**4/12 + 167*f**2 - 2*f. Let v(t) = 3*t**2. Calculate v(k(c)).
26508*c**2
Let u(c) be the second derivative of c**3/3 + 70*c - 3. Let m(j) = 2*j - 41. Let w(l) = -6*l + 123. Let y(h) = -8*m(h) - 3*w(h). Give u(y(b)).
4*b - 82
Let j(u) be the third derivative of -u**5/20 + u**4/12 - 2*u**2. Let x(d) = 3*d. Let t(v) = v. Let y(f) = -t(f) + x(f). Calculate j(y(g)).
-12*g**2 + 4*g
Let g(j) = -7400774*j. Let r(h) = -25*h. What is g(r(t))?
185019350*t
Let y(s) = s - 8. Let r(z) = 1972*z. Calculate y(r(x)).
1972*x - 8
Let y(v) be the first derivative of 718*v**3/3 - 2950. Let i(p) = p. Calculate i(y(o)).
718*o**2
Suppose 31*n - 219*n - 39*n = -8172. Suppose 4*q + 315 = 5*g, 2*g - q - 3*q = 114. Let b(x) = n*x - g*x + 28*x. Let o(r) = 5*r. Give o(b(y)).
-15*y
Let r(c) = -22*c. Let l(a) = -7073*a + 4*a**2 - 2 + 7073*a. Calculate l(r(i)).
1936*i**2 - 2
Let f(q) = 2*q**2 - 19. Let u(m) = 8*m**2 + 1. Let l(h) = -2*f(h) + u(h). Let c(s) = 26*s. Give c(l(x)).
104*x**2 + 1014
Let n(q) = -88*q**2 + 8*q - 24. Let z(b) = -58*b**2 + 5*b - 15. Let i(o) = 5*n(o) - 8*z(o). Let a(r) = r**2 + 5. Give a(i(w)).
576*w**4 + 5
Let b(c) = 25*c - 1. Let x(g) be the first derivative of -34*g**3/3 - g**2 + 2268. Determine x(b(d)).
-21250*d**2 + 1650*d - 32
Let m(z) = 7345*z. Let x(v) = 25*v**2 - v - 122. Determine x(m(d)).
1348725625*d**2 - 7345*d - 122
Let t(f) = 32*f**2 - 40*f**2 + 1 - 1. Let m(k) = k - 6. Let a be m(8). Let j(l) = 6 + 0*l - a*l - 6. Determine j(t(w)).
16*w**2
Suppose -14*v + 2 = -13*v. Let n(f) = f**3 - f**2 + 2*f - 1. Let c be n(v). Let w(s) = 13*s**2 - c*s**2 - 15*s**2. Let b(x) = 3*x**2. What is b(w(r))?
243*r**4
Let h = -4119 + 4119. Let i(p) be the third derivative of 0*p**4 + 0*p + 1/20*p**5 + 0 + h*p**3 + 19*p**2. Let m(v) = -22*v. Calculate m(i(o)).
-66*o**2
Let z(u) be the third derivative of -3*u**4/2 + 77*u**2 + 13. Let o(g) = 8*g**2. Determine z(o(d)).
-288*d**2
Let w(t) = 20*t. Let j(u) = 14*u. Let a(f) = 7*j(f) - 5*w(f). Let x(o) = 2838*o**2 + 2. Calculate a(x(g)).
-5676*g**2 - 4
Let p(a) be the second derivative of a**3/6 + 5*a**2/2 - 7*a - 61. Let m(k) = 6*k**2 - 3*k. Give p(m(t)).
6*t**2 - 3*t + 5
Let f(h) = -8*h**2. Let p(w) = -9950*w - 19 + 19901*w - 9948*w. Determine f(p(z)).
-72*z**2 + 912*z - 2888
Let o(l) = 14*l - 2. Let p(j) = -j**2 - 1682*j + 11. Determine p(o(m)).
-196*m**2 - 23492*m + 3371
Let n(x) be the second derivative of 4*x**3/3 - 3308*x. Let w(p) = -p + 5. Determine n(w(i)).
-8*i + 40
Suppose -34*v - 48 = -18*v. Let c(h) = 6*h - 3. Let l(i) = i**2 + 2*i - 1. Let j(g) = v*c(g) + 9*l(g). Let d(y) = 3*y. Determine j(d(a)).
81*a**2
Let o(q) = 2*q**2 + 249 - 249. Let i(v) = -13*v + 17. Let t(z) = 3*z - 1. Let c(r) = -i(r) - 3*t(r). Calculate c(o(k)).
8*k**2 - 14
Let i(u) = 132*u + 36. Let c(j) = 27*j + 2. Let h(k) = -5*c(k) + i(k). Let n(d) = -4*d**2. What is n(h(w))?
-36*w**2 + 624*w - 2704
Let i(t) = -1460 + 502 + 498 + 49*t**2 + 460. Let b(k) = 2*k - 1. Let z(x) = -x + 1. Let d(l) = -b(l) - z(l). Calculate d(i(y)).
-49*y**2
Let x(r) = 1671929*r. Let h(l) = -5*l**2. What is h(x(y))?
-13976732905205*y**2
Let d(l) = -33*l. Let q(h) = -5*h + 202. Give q(d(c)).
165*c + 202
Let w(v) = 3*v + 2. Let d(l) be the first derivative of l**2/2 + 15*l - 366. What is w(d(i))?
3*i + 47
Let q(f) be the second derivative of 0 + 3/2*f**2 + 1/24*f**4 + 0*f**3 + 12*f. Let g(z) be the first derivative of q(z). Let x(d) = d. What is x(g(v))?
v
Let v(h) = 3*h. Let i(s) be the third derivative of -31*s**7/840 + 67*s**4/24 + 2*s**2 - 5. Let x(p) be the second derivative of i(p). Determine x(v(b)).
-837*b**2
Let w(h) be the third derivative of 3*h**5/20 - 4*h**2 - 24. Let y(z) = -4*z - 12. Calculate w(y(g)).
144*g**2 + 864*g + 1296
Let p(q) = 26*q**2 - 85*q**2 + 0*q**2 + 27*q**2 + 30*q**2. Let u(l) = -3 + 103*l**2 + 3. Determine p(u(g)).
-21218*g**4
Let u(s) = -4 + 4 + 2*s. Let w(b) be the first derivative of -27*b**2/2 - 17*b - 150. Let l(x) = -5*x - 3. Let m(p) = 34*l(p) - 6*w(p). Calculate u(m(a)).
-16*a
Suppose -217 = -2*y + 165. Let p(h) = -100 - 91 + 10*h + y. Let a(j) be the second derivative of -j**3/2 + j. Give a(p(o)).
-30*o
Let x(q) = 4*q**2 + 8*q + 5. Let p(y) = -y - 1. Let b(n) = 5*p(n) + x(n). Let h(t) = 2*t**2 + t. Let d(g) = b(g) - 3*h(g). Let m(i) = 34*i. Calculate d(m(u)).
-2312*u**2
Let g(x) = 7999293*x**2. Let k(w) = 3*w. Determine g(k(q)).
71993637*q**2
Let d(c) = c**2 + 8394. Let g(i) = -699*i. Calculate d(g(u)).
488601*u**2 + 8394
Let i(q) = 2*q. Suppose -3*h - 3 = 0, -j - 3*j + 4*h = -60. Let v(k) = 3*k - 34. Let p be v(14). Let x(u) = j*u - 2*u - p*u. What is x(i(s))?
8*s
Let z(m) = -179*m**2. Let s(a) be the third derivative of -3*a**4/8 - 143*a**2. Determine z(s(h)).
-14499*h**2
Let p(i) = -2701*i. Let c(y) = -512*y. Let k(r) = -37*c(r) + 7*p(r). Let b(v) be the third derivative of v**4/24 - v**2. What is b(k(q))?
37*q
Let b(v) = -13704*v + 5*v**2 + 13704*v. Let h(k) = 1892*k. Calculate b(h(g)).
17898320*g**2
Let h(c) = -29730560*c. Let v(d) = d**2. Calculate v(h(r)).
883906197913600*r**2
Let s(v) = -2*v**2. Suppose -g + 4 = 0, -2*g = -0*b - 2*b + 20. Let a(c) = c - b - 6 + 19. What is a(s(x))?
-2*x**2 - 1
Let j(h) be the third derivative of h**4/12 - 340*h**3/3 + 1900*h**2. Let s(d) = -2*d. Determine j(s(g)).
-4*g - 680
Let i(n) = -3513*n. Let m(c) = -115*c**2. Let v(h) = 135*h**2. Let o(f) = 7*m(f) + 6*v(f). Calculate i(o(l)).
-17565*l**2
Let l(q) be the first derivative of 3*q**2/2 - 503. Let a(i) = 436*i. Determine l(a(b)).
1308*b
Let z(i) be the second derivative of 7*i**4/2 - 5*i + 16. Let n(v) = 5*v**2. Let m(t) = 6*t**2. Let u(l) = 3*m(l) - 4*n(l). Calculate u(z(x)).
-3528*x**4
Let w(z) = -353*z - 137. Let q(v) = 113*v. Calculate w(q(p)).
-39889*p - 137
Let f(m) = -2173*m**2. Let t(x) = -x + 38 + 39 - 77 + 4*x. Determine f(t(q)).
-19557*q**2
Let z(k) = -3*k + 18. Let i(n) = -20*n + 874. What is z(i(s))?
60*s - 2604
Let g(v) = -25*v + 11. Let n(d) = 9*d - 4. Let k(a) = -4*g(a) - 11*n(a). Let j(f) = 308*f**2. What is j(k(b))?
308*b**2
Let u(j) = -16*j**2. Let r(t) = -251*t + 167. Let a(y) = -752*y + 585. Let x(q) = -2*a(q) + 7*r(q). What is u(x(i))?
-1024144*i**2 - 8096*i - 16
Let l(d) be the first derivative of -149*d**4/12 + 254*d + 128. Let o(t) be the first derivative of l(t). Let z(i) = 2*i**2. Calculate z(o(r)).
44402*r**4
Let x(k) = 6*k**2. Suppose -10 = 23*c - 25*c. Let n(s) = 3*s + 10. Let z(b) = -b - 4. Let q(a) = c*z(a) + 2*n(a). What is q(x(y))?
6*y**2
Let q(g) = 23*g. Let x(d) be the first derivative of -20 + 1/3*d**3 - 20*d + 0*d**2. Let b(m