(i).
-7*i**3 + i + 2
Let t(i) = 1 + 3*i + 0*i - 2*i. Let q(u) be the second derivative of 2*u**3/3 + 7*u**2/2 + 5*u - 4. What is -q(j) + 5*t(j)?
j - 2
Let u(q) = 4*q - 5. Suppose -36 = -x - 5*x. Let i(f) = 5*f + 1. Let d(y) = -6*y - 1. Let a(g) = -6*d(g) - 7*i(g). Calculate x*a(l) - u(l).
2*l - 1
Let n(r) = 9*r + 5. Let s(j) be the first derivative of 19*j**2/2 + 11*j + 9. Let m(q) = -13*n(q) + 6*s(q). Let c(d) = -6*d + 2. Give -2*c(g) + 5*m(g).
-3*g + 1
Let x(l) = -3*l**2 + l - 242. Let t(n) = -13*n**2 + 4*n - 969. Determine 2*t(o) - 9*x(o).
o**2 - o + 240
Let h be 4*4 + 65/(-16 - -3). Let f(r) be the second derivative of r**4/6 - r**3 - 7*r. Let t(n) = -4*n**2 + 5*n + 12*n - 6*n. Determine h*f(l) + 6*t(l).
-2*l**2
Let i(f) = -11*f**2 + 8*f + 11. Let s(z) = 0 - 51*z + 46*z - 7 + 7*z**2. Determine -5*i(j) - 8*s(j).
-j**2 + 1
Let b(d) = 38*d**2 + 10*d - 1. Let v(j) = 37*j**2 + 7*j. Calculate 2*b(k) - 3*v(k).
-35*k**2 - k - 2
Let b(r) = 13*r**2 - 11*r - 4. Let k(y) = 7*y**2 + 4 + 0*y + y - 5*y - y. Let s be k(1). Let m(l) = 7*l**2 - 6*l - 2. Calculate s*b(g) - 11*m(g).
g**2 - 2
Let z(u) = 2*u**2 - 2*u. Let b = -293 - -300. Let r(f) = 2*f**2 - f. Determine b*r(k) - 6*z(k).
2*k**2 + 5*k
Let g(b) = 4*b**2 - 2*b + 22. Let u(l) = -2*l**2 - 2. Calculate -g(v) - 5*u(v).
6*v**2 + 2*v - 12
Let n(b) = -b**3 + b. Let u(l) = -105*l + 2 + l**3 + 103*l + 0 + l**2 + 1. Calculate -2*n(d) - u(d).
d**3 - d**2 - 3
Let q(a) = -a - 3. Let o(p) = 8*p + 22. Let v(r) = 6*o(r) + 44*q(r). Let f(c) = -3*c. Give 3*f(w) + 2*v(w).
-w
Let r(c) = -c - 1. Let h(p) = -61*p**2 - 3*p - 5. Calculate h(l) - 4*r(l).
-61*l**2 + l - 1
Let d(g) = 85*g**2 + 16*g + 40. Let a(y) = -29*y**2 - 6*y - 14. Calculate -8*a(r) - 3*d(r).
-23*r**2 - 8
Let u(d) = 20*d**2 + 3*d - 3. Let x(g) = 338*g**2 + 50*g - 48. Let b(h) = 1013*h**2 + 150*h - 143. Let i(z) = 2*b(z) - 7*x(z). Calculate 3*i(y) + 50*u(y).
-20*y**2
Let w(u) = -u**2 - 17*u + 302. Let b be w(11). Let s(r) = -20*r**2 + r. Let x(h) = 7*h**2. Determine b*s(q) - 17*x(q).
q**2 - 6*q
Let p(o) = o + 1. Let n(x) = 1 - 2 + 2 + 0*x**3 + 13*x + 2 - x**3. Give -n(k) + 3*p(k).
k**3 - 10*k
Let o(t) = 3*t**3 + 7*t**2 - 21*t - 7. Let d(r) = 3*r**3 + 2 + 8*r**3 + 7*r - 5*r**2 + 3*r**2 - 11*r**3 - r**3. Determine -7*d(n) - 2*o(n).
n**3 - 7*n
Let m(s) be the second derivative of s**3/2 - s**2 + 431*s. Let t(c) = -c**2 + c - 1. Calculate -m(g) + 3*t(g).
-3*g**2 - 1
Let a(w) = -7*w**2 + 4. Let n(y) be the first derivative of -y**4/3 + y**2 + 8*y - 46. Let h(q) be the first derivative of n(q). What is -3*a(g) + 5*h(g)?
g**2 - 2
Let h be ((-21)/14 - -1)*4. Let t(a) = -9*a - 6. Let u(x) = -4*x - 3. What is h*t(c) + 5*u(c)?
-2*c - 3
Let o(p) = 5*p**2 + 3*p + 5. Let m(c) = 2*c**2 + 2*c + 3. Let r(n) = -8*n - 221. Let h be r(-27). Determine h*m(s) + 3*o(s).
5*s**2 - s
Let c(j) = -164*j**2 - 26*j. Let m(a) = 33*a**2 + 5*a. Determine 2*c(g) + 11*m(g).
35*g**2 + 3*g
Let y(j) be the second derivative of j**5/10 + j**4/4 + 166*j. Let p(d) = -d**3 - d**2. Let q(f) = f**2 + 4*f + 4. Let a be q(-3). What is a*y(l) + 3*p(l)?
-l**3
Let v(g) be the first derivative of -g**4/2 - 7*g**3/3 + 3*g**2/2 - 14. Let l = 14 + -9. Let i(w) = 2*w**3 + 8*w**2 - 4*w. Calculate l*i(s) + 6*v(s).
-2*s**3 - 2*s**2 - 2*s
Let r(n) = 4 - 5*n - 7 + 0*n + 4*n. Suppose 0 = -4*m - 0*m + 20. Let d(k) = -4 + 2 + 1. Determine m*d(o) - 2*r(o).
2*o + 1
Let m(f) = -f**2 + 4*f + 4. Suppose -h - 7 = l - 3*l, -4*h + 22 = 2*l. Let t be ((-2)/h)/((-4)/(-30)). Let c(q) = q**2 - 5*q - 5. Give t*m(x) - 4*c(x).
x**2
Let k(o) = 81*o**3 - 5*o + 1. Let i(r) = -27*r**3 + 2*r. What is 11*i(n) + 4*k(n)?
27*n**3 + 2*n + 4
Let p be 2*(1 + 10/(-4)). Let z be 5 + -4 + p + -1. Let a = -2 + z. Let f(o) = -9*o - 2. Let v(q) = 4*q + 1. Calculate a*v(h) - 2*f(h).
-2*h - 1
Let n(d) be the second derivative of d**5/20 - 17*d. Let b(f) = -8 + 5 + f + 3. Calculate 2*b(z) - n(z).
-z**3 + 2*z
Let z(h) = -5*h + 5. Let o(l) = 24*l - 22. Give 6*o(b) + 28*z(b).
4*b + 8
Let a(o) be the third derivative of -o**4/24 - o**3/6 - 330*o**2. Let h(i) = -4*i**2 - 4*i - 5. Calculate -4*a(c) + h(c).
-4*c**2 - 1
Let h(f) = f**3 - f**2 - f. Let c(j) = j**2 + 2*j - 1. Calculate c(g) + h(g).
g**3 + g - 1
Let d(v) = -14*v**3 + 5*v**2 + 5*v - 12. Let f(z) = 7*z**3 - 3*z**2 - 3*z + 7. Determine 3*d(n) + 5*f(n).
-7*n**3 - 1
Let y(t) = -10*t**2 - 5*t + 5. Let p be ((-9)/(-12))/(3/12). Let v(z) = 0*z**2 - 2 - z**2 + p - z. Determine 5*v(n) - y(n).
5*n**2
Let g(h) = 5*h**2 + 2*h + 18. Let o(j) = 6*j**2 + 3*j + 20. What is -5*g(n) + 4*o(n)?
-n**2 + 2*n - 10
Let t be 30/(-4) + 0 - 8/(-16). Let v(p) = 8*p**3 + 6*p**2. Let s(g) = -9*g**3 - 7*g**2. What is t*v(n) - 6*s(n)?
-2*n**3
Suppose 6 = -2*w, 5*k - 1 = 3*k + 3*w. Let d(t) = t**3 + 4*t**2 - 4*t - 9. Let n(p) = p**3 + 5*p**2 - 5*p - 10. What is k*n(f) + 5*d(f)?
f**3 - 5
Let s(d) = 2*d**2 + d. Let x(n) = 13*n**2 + 3*n - 65. Determine -3*s(r) + x(r).
7*r**2 - 65
Let u(d) = -2*d + 153. Let z(y) = 5*y - 301. Determine -7*u(p) - 3*z(p).
-p - 168
Let d(u) = u**2 + 2*u + 88. Let q(s) = 1. Give d(k) - 5*q(k).
k**2 + 2*k + 83
Let o(l) = -l**2 - 2 + 1 + 2. Let w be 0*3/12 - -2. Suppose n - 3 = -3*j - w*n, j + 5*n + 3 = 0. Let g(z) = z**3 - 4*z**2 + 4. Determine j*g(a) - 6*o(a).
2*a**3 - 2*a**2 + 2
Let y(t) = 5*t**3 + 6*t**3 + 6 - 2*t**3 + 6*t**2. Let n(c) = -8*c**3 - 5*c**2 - 5. Suppose -p = 0, -6*s + 2*p = -s. Let a = s + -5. Give a*y(i) - 6*n(i).
3*i**3
Suppose d + 5 = -4*d. Let k(f) = -4*f - 2. Let b(y) = 3. Let p(u) = -7. Let t(n) = 5*b(n) + 2*p(n). What is d*k(i) - 3*t(i)?
4*i - 1
Let y(k) = -3*k**3 + k**2 + 5*k - 2. Let j(x) = x**3 - x**2 - x + 1. Let w = 394 - 393. Give w*y(g) + 2*j(g).
-g**3 - g**2 + 3*g
Let r(d) = -17435*d**3 - 1268*d**2 - 317*d - 317. Let z(f) = 329*f**3 + 24*f**2 + 6*f + 6. Give 6*r(j) + 317*z(j).
-317*j**3
Let i(u) = -9*u + 7. Let l(z) = z**3 + 12*z**2 + 14*z + 28. Let s be l(-11). Let n(y) = -5*y + 3. Give s*n(b) + 3*i(b).
-2*b + 6
Let i(t) = 4*t**2 + 3*t + 5. Suppose 2 = 3*b - 2*b. Let s(m) = 2*m + 4 + 3*m**b + 5 - 5. Determine -2*i(u) + 3*s(u).
u**2 + 2
Suppose 25*m + 75 = 10*m. Let r(k) = 2*k**2 - 14*k + 14. Let i(u) = u**2 - 9*u + 9. What is m*r(a) + 8*i(a)?
-2*a**2 - 2*a + 2
Let r(v) = 4*v - 1. Suppose 0 = -21*h + 25*h - 16. Let x = -5 + h. Let p(s) = -s. What is x*r(g) - 6*p(g)?
2*g + 1
Suppose -4*w = -4*c + 48, -2*c - 7 + 39 = -3*w. Let s(t) = t**2 - 1. Let i(o) = 4*o**2 - 6. Calculate w*s(f) + i(f).
-4*f**2 + 2
Let q(t) = 4*t - 4 + 106*t**2 - 102*t**2 + 7*t**3 + 4*t**3. Let f(d) = -22*d**3 - 9*d**2 - 9*d + 9. Calculate -4*f(n) - 9*q(n).
-11*n**3
Let q(y) = -4*y - y - 9*y + 3 - 8*y**2. Let j(s) = -5*s - 5*s**2 + 1 + 2*s**2 + 3*s**2 - 3*s**2. Let r(w) = w + 6. Let d be r(5). Calculate d*j(v) - 4*q(v).
-v**2 + v - 1
Let l(v) = -3*v + 20. Let h(m) = 2*m - 1. Calculate 2*h(i) - l(i).
7*i - 22
Let j(m) = -11*m + 3. Let k(y) = 42 + 37 - 113 + 33. What is -j(q) - 4*k(q)?
11*q + 1
Let h(m) = -180*m**3 - 48*m. Let v(u) = -19*u**3 - u. Let s(l) = -57*l**3 - 4*l. Let z(k) = 4*s(k) - 11*v(k). Give -5*h(g) + 48*z(g).
-12*g**3
Let a(j) = j**2 + j - 1. Let w(c) = -2*c**3 - 2*c**2 - c - 21. Give -3*a(l) - w(l).
2*l**3 - l**2 - 2*l + 24
Let h(s) = -2. Let w(r) = 96*r - 672. Calculate 672*h(a) - 2*w(a).
-192*a
Let y(r) = 7*r**3 - 4 + 15*r + 5*r**2 - 9*r - 9*r - 2*r**2 + 6. Let j(v) = 2*v - 3 - 13*v**3 - 5*v**2 - 3*v + 6*v. Calculate 3*j(t) + 5*y(t).
-4*t**3 + 1
Let h(q) be the third derivative of -17*q**5/60 + q**3/2 + 9*q**2 + 7. Let l(r) = -4*r**2 + 1. Give 2*h(u) - 9*l(u).
2*u**2 - 3
Let q(b) = -2*b + 2. Suppose 2*z = z. Let l(u) = 1 + z*u - u + u - u. Calculate 5*l(p) - 2*q(p).
-p + 1
Let t(s) = 70*s**2 + 4*s + 5*s**3 - 4 - 64*s**2 + 2. Let j(z) be the second derivative of z**5/20 + z**4/12 + z**3/6 - z**2/2 + 2*z. Give 4*j(b) - t(b).
-b**3 - 2*b**2 - 2
Let j(i) = 8*i**3 - 4*i**2 - 13*i + 5. Let t(c) = -2*c**3 - c**2 - c + 2. Calculate -j(l) + 3*t(l).
-14*l**3 + l**2 + 10*l + 1
Let w(x) = 12*x**3 - 9*x + 21. Let f(y) = -15*y**3 + 7*y - 20. Give 5*f(t) + 4*w(t).
-27*t**3 - t - 16
Let s(q) be the third derivative of q**7/5040 + 3*q**5/5 + 39*q**2. Let o(x) be the third derivative of s(x). Let c(u) = 7*u. Calculate -c(t) + 3*o(t).
-4*t
Let d(g) = -g**2 - 4*g - 94. Let h(u) = u**2 - u + 1. Give d(