- 4. Let g(h) be the first derivative of -5*h**2 - 27*h - 1. Let i(r) = 15*r + 41. Let z(c) = -8*g(c) - 5*i(c). Determine -11*k(s) - 4*z(s).
2*s
Let n be (-396)/22*(-2)/6. Let f(c) = 2*c**2 + 5*c - 5. Let p(g) be the first derivative of g**2/2 - g - 1. Give n*p(a) - f(a).
-2*a**2 + a - 1
Let c(g) be the second derivative of -1/2*g**2 - g + 1/6*g**3 - 1/12*g**4 + 0 - 1/20*g**5. Let k(x) = -7*x**3 - 5*x**2 + 6*x - 6. Calculate -6*c(v) + k(v).
-v**3 + v**2
Let w(g) = 10*g + 7. Let j(m) = -11*m - 7. What is 5*j(h) + 6*w(h)?
5*h + 7
Let k(x) = -3*x - 8*x**3 + x + 2*x**2 + 6*x**3 - x**3. Let d(z) = 7*z**3 - 5*z**2 + 5*z - 1. Calculate 2*d(q) + 5*k(q).
-q**3 - 2
Let p(h) = -5 - 3*h + 2 + 2*h**2 + 8*h. Let o(b) = 3*b**2 + 6*b - 4. Let v be 0 - (2 - 1)*2. Let j(g) = -g**2 - 4*g - 1. Let f be j(v). What is f*o(c) - 4*p(c)?
c**2 - 2*c
Let x(y) = -15*y**2 - 10*y. Let b(p) = -8*p**2 - 5*p. Calculate 7*b(n) - 4*x(n).
4*n**2 + 5*n
Let u(j) = -1. Let o(i) = -11*i - 12. Let t(d) = o(d) - 4*u(d). Let s(m) = 10*m + 7. Give 6*s(l) + 5*t(l).
5*l + 2
Let z(m) = m**2 + m - 3. Let h(g) = 2*g**2 + 2*g - 7. Let l(v) = 3*h(v) - 7*z(v). Suppose 99 + 135 = 13*n. Let d(r) = -10*r**2 - 9*r. What is n*l(p) - 2*d(p)?
2*p**2
Let m(g) be the third derivative of g**5/30 - g**4/24 + g**3/6 + g**2. Suppose -2*t = 4*d + 2, 0 = 2*t + 4*d - d + 4. Let r(s) = s**2. What is t*r(c) + 2*m(c)?
-c**2 - 2*c + 2
Let i(d) = d + 2. Let j = 4 + -6. Let k = 8 + -5. Let l(s) = -s**2 + s + 2. Give j*l(a) + k*i(a).
2*a**2 + a + 2
Let w be 3/4 - 68/(-16). Let h(v) = -2*v + 6. Let p(a) = 2*a - 7. Determine w*h(k) + 4*p(k).
-2*k + 2
Let x(m) = 453*m - 1 - 911*m + 456*m. Suppose 4*g - 22 = -2. Let q(o) = 3*o + 1. Calculate g*x(u) + 4*q(u).
2*u - 1
Let o(w) = -7*w**2 - 6*w - 6. Let f(y) = y**2 + y + 1. Calculate -6*f(b) - o(b).
b**2
Let y(b) = 14*b**2 + 2*b - 11. Let j(d) = 7*d**2 - 7 + 0*d**2 + 33*d - 32*d + 2*d**2. Calculate -8*j(x) + 5*y(x).
-2*x**2 + 2*x + 1
Let w(j) = -21*j**3 - 8*j**2 + 8. Let x(r) = -14*r**3 - 5*r**2 + 5. What is -5*w(f) + 8*x(f)?
-7*f**3
Let r(m) = -2*m**3 - 4*m**2 + 3*m + 5. Let n(b) = b**3 + 2*b**2 - b - 2. Determine -5*n(k) - 2*r(k).
-k**3 - 2*k**2 - k
Let a be 64/(-3) - (-5 + 85/15). Let u(o) = -o**2 - 4*o - 3. Let j(b) = -4*b**2 - 15*b - 11. Give a*u(v) + 6*j(v).
-2*v**2 - 2*v
Let c(a) = 8*a - 3. Let x(n) = -40*n + 15. Determine 11*c(t) + 2*x(t).
8*t - 3
Let c(l) = 2*l**3 - 2*l**2 + 4*l + 4. Let w = -2 - -4. Let r(v) = -4*v**3 + 5*v**2 - 9*v - 9. Give w*r(g) + 5*c(g).
2*g**3 + 2*g + 2
Let h(j) = -14*j - 2. Let f(r) = 0*r - 4*r - 3*r + 6*r. What is 12*f(q) - h(q)?
2*q + 2
Let o(r) be the first derivative of -3*r**2 + 3*r - 7. Let l(x) = -5*x + 2. Give -5*l(g) + 4*o(g).
g + 2
Let m(w) = -8*w**3 - 7*w**2 + 2*w + 7. Let f(n) = -7*n**3 - 6*n**2 + 2*n + 6. Let s = 8 - 11. Let g be -1*(24/s - -1). Determine g*f(p) - 6*m(p).
-p**3 + 2*p
Let r(o) = -o. Let k(d) = 3*d + 1. Determine -4*k(b) - 11*r(b).
-b - 4
Let a(g) = -3*g**3 - 4*g**2 - g - 6. Let c(m) = 6*m**3 + 9*m**2 + 2*m + 13. Determine -9*a(s) - 4*c(s).
3*s**3 + s + 2
Let s(j) = -7*j**2 - 2*j - 1. Let u be s(-1). Let q(r) = r - 1. Let w = -1 + 2. Let k(m) = -162 + 3*m - 160 + 4*m + 318. Calculate u*q(h) + w*k(h).
h + 2
Let q be 54/15*40/24. Let l(z) = 4*z**2 - 4*z + 7. Let h(g) = g**2 - g + 1. Let w(k) = -k**3 + 3*k**2 + 5*k - 5. Let a be w(4). Give a*l(x) + q*h(x).
2*x**2 - 2*x - 1
Let i(s) = 7*s**2 + 6*s - 6. Let m(x) = 5*x - x**2 - 5 - x**2 + 4*x**2 + 4*x**2. Let p be -4 + 4 + 1*-5. Give p*i(o) + 6*m(o).
o**2
Suppose 35*v + 66 = 41*v. Let d(y) = -14*y. Let q(s) be the first derivative of -5*s**2/2 - 1. Calculate v*q(h) - 4*d(h).
h
Let t(n) = 5*n**2 + 3*n - 4. Let b(g) = -4*g**2 - 2*g + 3. Let x be 11/4 + 1/4. Let m(a) = 2*a - 2. Let r be m(x). Suppose -p = p + r. Give p*t(v) - 3*b(v).
2*v**2 - 1
Let d(v) = -15*v**2 + 4*v. Let b(z) = z**2 + z. What is 4*b(a) - d(a)?
19*a**2
Let a(h) = -4*h. Let u(n) = n**2 + 5*n. Determine 3*a(f) + 2*u(f).
2*f**2 - 2*f
Suppose 5*q + 4*h = -21, 2*h = -q + 3 - 6. Let r(x) = 7*x**3 - 5. Let w(y) = 11*y**3 - 8. Determine q*w(u) + 8*r(u).
u**3
Let d(k) = 7*k - 6. Let f be 2/(-4) + (-11)/2. Let v(r) = -13*r + 11. Suppose 0 = -5*i - 7 - 48. Give f*v(z) + i*d(z).
z
Let g(j) = -31*j. Let x(q) = 6*q. What is 4*g(r) + 22*x(r)?
8*r
Let q(t) = t**3 + t**2 - t. Let h(x) be the second derivative of x**5/4 + x**4/2 - x**3 - 21*x. Determine h(g) - 6*q(g).
-g**3
Let i(v) = 22*v - 20. Let t(l) = -7*l + 7. Calculate -6*i(g) - 17*t(g).
-13*g + 1
Let y(n) = 2*n**3 + 3*n**2 + 2. Let j(g) = -g**3 - 4*g**2 - 3. What is -3*j(s) - 4*y(s)?
-5*s**3 + 1
Let m(q) = -q**3 + q**2 + q. Let n(z) = -z**2 + z - 1. Give m(y) - n(y).
-y**3 + 2*y**2 + 1
Let b(c) be the third derivative of -c**4/24 - c**3/6 + 8*c**2. Let j(h) = -3*h**2 + 5*h + 5. Give -5*b(g) - j(g).
3*g**2
Let g(v) = 10 - 3*v + 3 - 19. Let r(a) = 1. What is g(y) + 6*r(y)?
-3*y
Let k(h) = h**2 + 1. Let f(m) = 3*m**3 - 15*m**2 - 15. Determine 3*f(l) + 45*k(l).
9*l**3
Let f(k) = -k**2 + k. Let a(q) = -72*q**2 + 90*q. Determine -a(x) + 90*f(x).
-18*x**2
Let p(s) = s**3 - 2. Suppose 0 = 2*j - x - 3, 2*j + 3*x + 1 = 4*j. Let d(w) be the second derivative of -w**4/12 + w**2/2 - 41*w. What is j*d(c) + 2*p(c)?
2*c**3 - 2*c**2 - 2
Let q(i) = 14*i. Let p(h) = 13*h. Calculate -4*p(c) + 5*q(c).
18*c
Let q(c) = 7*c. Let p(u) = -14*u. Determine 3*p(j) + 5*q(j).
-7*j
Let n(q) = -q**2 + q + 1. Let f(t) = -2*t. What is f(o) + 2*n(o)?
-2*o**2 + 2
Suppose 8*v = 4*v + 8, -5*y + 4*v + 37 = 0. Let h(s) = -4*s + 5. Let q(z) = 3 + 2*z - 3*z - 2. Let r be (2/(-1))/(2 + -1). Determine r*h(p) + y*q(p).
-p - 1
Let m(j) = -j**3 - 4*j**2 - 4*j - 4. Let w(u) = -u**2 - u - 1. Suppose 3*i + 1 = -11. Calculate i*w(k) + m(k).
-k**3
Let g(j) = 69*j + 1. Let h(y) = 275*y + 4. Determine 9*g(q) - 2*h(q).
71*q + 1
Let i(h) = h**3 + 3*h - 3. Let l(z) = -3*z + 21. Let d be l(5). Let n(w) = 5*w**3 + 17*w - 17. What is d*n(b) - 34*i(b)?
-4*b**3
Let m(a) = -2*a + 2. Let l(q) = -2*q**2 - 3*q - 3. Let b be l(-1). Let h(c) = -2*c + 1. Calculate b*m(s) + 3*h(s).
-2*s - 1
Suppose 0 = -4*z - 0*z - 16, 19 = -g + 4*z. Let o(v) = -v - 4. Let y(l) = 10*l + 35. Determine g*o(p) - 4*y(p).
-5*p
Let k(t) = -2*t - 5 - 3*t - 1. Let a(z) = -9*z - 10. Let h(l) = l + 1. Let s(u) = -a(u) - 5*h(u). Calculate -3*k(f) - 4*s(f).
-f - 2
Let r(o) = 2*o**2 - o - 2. Let s(h) = -4*h**2 + 3*h + 3. What is 5*r(f) + 3*s(f)?
-2*f**2 + 4*f - 1
Let t(n) = 4*n. Let k(r) be the first derivative of -7*r**2/2 + 2*r - 3. Let v(i) = -7*i + 3. Let y(d) = 3*k(d) - 2*v(d). Determine 5*t(m) + 3*y(m).
-m
Suppose 0*q + 1 = -q. Let n(l) = -l**2 - 2*l - 2. Suppose 0 = a - 15*w + 17*w + 10, -16 = 4*w. Let v(p) = -p**2 + p + 1. Calculate a*v(h) + q*n(h).
3*h**2
Let g(f) = -8*f - 4. Let v(i) = 4*i + 19*i + 11 + 0*i. Give 17*g(u) + 6*v(u).
2*u - 2
Let h(p) = p + 1. Let z(l) = 5*l**2 + 2*l + 7. Let q(k) = -14*h(k) + 2*z(k). Let c(w) = 2*w**2 - 2*w. What is -16*c(d) + 3*q(d)?
-2*d**2 + 2*d
Let k(v) = v**2. Let r(t) = 2*t**2 - t + 3. Let n(o) = -3*k(o) + r(o). Suppose -3*z - 15 = 2*z. Let l(q) = -2*q**2 - 2*q + 7. Calculate z*l(f) + 7*n(f).
-f**2 - f
Let a(o) = -o**3 + o + 2. Suppose 5*j - 2 - 8 = 0. Let x(w) = -w + 0*w**3 + j*w**3 - 6 + 3. Calculate -5*a(i) - 3*x(i).
-i**3 - 2*i - 1
Let u(x) = 2*x**3 + 3*x**2 + 4*x + 3. Let s(a) = 5*a**3 + 5*a**2 + 7*a + 5. What is 3*s(v) - 5*u(v)?
5*v**3 + v
Let u(s) = 101*s. Let m(g) = 56055*g. Calculate -2*m(b) + 1111*u(b).
101*b
Let w(a) = a**2 + 4*a + 1. Suppose -f = -3*f + 2. Let y be 9/(-12)*4/1. Let j(i) be the first derivative of i**3/3 + i**2/2 + i - 1. Determine f*w(r) + y*j(r).
-2*r**2 + r - 2
Let d(h) = h. Let a(n) = 7*n + 1. Let j(g) = -a(g) + 3*d(g). Let m(w) = -9*w - 1. Let l(f) = 5*j(f) - 2*m(f). Let k(q) = -3*q - 4. Give 3*k(r) - 4*l(r).
-r
Let p(q) = 2*q**3 - 2*q**2 - 4*q. Let j(s) = -s**2 - s. Calculate -4*j(v) + p(v).
2*v**3 + 2*v**2
Let k(f) = 3*f**3 - 4*f - 4. Let q be (96/(-16))/(4/(-6)). Let s(v) = -7*v**3 + 9*v + 9. Give q*k(i) + 4*s(i).
-i**3
Let o(c) = 55*c**3 - 65*c + 65. Let v(g) = g**3 - 4*g**2 - 6*g + 2. Let s(i) = 5*i**2 + 6*i - 1. Let b(d) = -4*s(d) - 5*v(d). Give 65*b(z) + 6*o(z).
5*z**3
Let k(j) = -2*j**3 + 4*j**2 - 2*j + 4. Let w(h) = 1. What is k(y) - 4*w(y)?
-2*y**3 + 4*y**2 - 2*y
Let c