 6. Suppose -5*v + 59 - 4 = 0. Suppose -5*r - 4*f + 8 = -10*r, 0 = -5*r + 3*f - v. Let c(x) = x**2 + 1. Determine r*c(y) + t(y).
y**2 + y + 2
Suppose -2*w - 2 = -0*w. Let b(m) be the second derivative of 0 + 0*m**2 + 1/6*m**3 - m. Let l(p) = 3*p + 2. What is w*l(a) + 5*b(a)?
2*a - 2
Let d be 24/16*(1 - 3). Let i(n) = 4*n**3 + 3*n**2 - 3. Let f(s) = 4 - 6*s**3 + 2*s**2 + s**3 - 6*s**2. Give d*f(u) - 4*i(u).
-u**3
Let d(s) = 2*s**3 + s**2 + 3*s + 2. Let h(l) = -3*l**3 - l**2 - 5*l - 4. Calculate -5*d(t) - 3*h(t).
-t**3 - 2*t**2 + 2
Let l(k) be the second derivative of 7*k**5/20 + k**4/4 + 13*k. Let o(d) = d**3. Give -l(y) + 5*o(y).
-2*y**3 - 3*y**2
Let j(k) = 42*k. Let m(w) = 14*w. Determine 5*j(h) - 14*m(h).
14*h
Let m(x) be the first derivative of -2 + 0*x**2 + 3*x - 2/3*x**3. Let a(p) be the first derivative of 4*p**3/3 - 5*p + 9. Calculate 3*a(k) + 5*m(k).
2*k**2
Let q(g) = -g**2 + g. Let u(m) = -5*m**2 + 3*m + 2. What is -4*q(d) + u(d)?
-d**2 - d + 2
Let o(p) = -3*p - 5. Let l(q) = q + 2. What is 5*l(x) + 2*o(x)?
-x
Let k(d) = d + 1. Let b(h) be the third derivative of 1/120*h**6 + 0 + 0*h - h**2 + 1/6*h**3 + 1/24*h**4 + 0*h**5. Calculate -b(s) + k(s).
-s**3
Let r(x) = 35*x**3 - 28. Let q(u) = -u**3 + 1. Determine -28*q(m) - r(m).
-7*m**3
Suppose 5*h - 3*u + 31 = -0*u, -h - 15 = -5*u. Let o(z) = z - 9. Let p be o(8). Let t(a) = -4*a + 7. Let i(y) = y - 1. Calculate h*i(v) + p*t(v).
-v - 2
Let u(k) = -3*k - 3. Let r(q) = -2*q - 2. Let m(b) = -b**2 + 7*b - 6. Let f be m(7). Let g be 0 + -1 + (f - -3). Calculate g*r(p) + 3*u(p).
-p - 1
Let f(d) = 4*d - 4. Let a(o) = 0*o - 8*o + 9*o - 2*o + 1. Let w(p) = 3*p - 3. Let s(i) = 17*a(i) + 6*w(i). What is 4*f(u) - 14*s(u)?
2*u - 2
Let y(c) = -5. Let v(q) = q - 5. What is 3*v(k) - 2*y(k)?
3*k - 5
Let g(i) = 5*i**3 - 6*i**2 - 6*i - 6. Let o(a) = -11*a**3 + 11*a**2 + 11*a + 11. What is 11*g(l) + 6*o(l)?
-11*l**3
Let c(a) = -84*a - 17. Let n(o) = -14*o - 3. What is -6*c(x) + 34*n(x)?
28*x
Let a = 17 - 11. Let x(z) = -2*z + 2. Let r(c) = -2*c + 2. What is a*r(f) - 5*x(f)?
-2*f + 2
Let g(r) = r**3 - r**2 + r - 1. Let m(x) = -x**3 + 6*x**2 + 2*x - 2. Give 2*g(w) - m(w).
3*w**3 - 8*w**2
Let t(q) = -18*q**3 - 12*q**2 + 10*q + 12. Let n(u) = -u**3 - u**2 + u + 1. Give -12*n(y) + t(y).
-6*y**3 - 2*y
Let z(t) = -2 + 2 - 9*t + 8*t. Let r(k) = -4*k + 1. Give -r(a) + 6*z(a).
-2*a - 1
Let f(p) = -3*p**3 - 5*p - 3. Let m(r) = -1 - 1 - 6*r + 2*r - 2*r**3. Give 4*f(z) - 5*m(z).
-2*z**3 - 2
Let g(w) be the third derivative of w**4/24 - 5*w**3/6 + w**2. Let h(j) = j - 6. Let m = -86 + 81. Determine m*g(p) + 4*h(p).
-p + 1
Let w(c) be the first derivative of 11*c**3/3 + 5*c**2/2 - 5*c + 1. Let k(h) be the first derivative of 2*h**3 + 3*h**2/2 - 3*h - 69. Give 5*k(p) - 3*w(p).
-3*p**2
Let q(d) = 9*d - 2. Let o(l) = 4*l - 1. Let s(v) = v - 7. Let i be s(5). Let w = 3 - i. Let t(u) = w*o(u) - 2*q(u). Let c(b) = -4*b + 2. Give 4*c(m) + 9*t(m).
2*m - 1
Let t(y) = -1. Let m(p) = 3*p**2 - 2*p - 5. Let j(o) = -m(o) + 5*t(o). Let a(n) = -4*n**2 + 3*n. Calculate 2*a(s) - 3*j(s).
s**2
Let s(r) = r. Let z(m) = -m. Determine 6*s(k) + z(k).
5*k
Let m(b) = -5*b**2 + 3. Let l(h) = 20*h**2 - 13. What is -6*l(d) - 26*m(d)?
10*d**2
Let i(d) = -4*d**3 + 2*d**2 - 2*d - 5. Let j(x) = 5*x**3 - 3*x**2 + 3*x + 6. Suppose 4*v - 2*v + 6 = 2*b, 0 = 2*v + 10. Determine b*j(z) - 3*i(z).
2*z**3 + 3
Let a(c) = -1. Let k(o) = 2*o - 7. Let d(n) = n**2 - 7*n + 6. Let h be d(4). Determine h*a(i) + k(i).
2*i - 1
Let k(s) = -4*s**2 - 8*s - 3. Let g(y) = -y**3 - 7*y**2 - 15*y - 5. What is 3*g(j) - 5*k(j)?
-3*j**3 - j**2 - 5*j
Let a(m) = -4*m**2 + 6*m - 6. Let x(s) = 2*s**2 - s + 1 - s**2 - s**2 + s**2. What is -a(f) - 5*x(f)?
-f**2 - f + 1
Let q = 44 - 47. Let r(h) be the third derivative of h**5/60 - 5*h**3/6 - 2*h**2. Let v be r(0). Let b(j) = 2*j - 2. Let u(n) = -4*n + 3. Give q*u(d) + v*b(d).
2*d + 1
Let r(h) = h**2 + h + 1. Let v = 1 + 1. Suppose 4 = -2*z + v, 3*q = 4*z + 4. Suppose q = -2*b + 9 + 3. Let t(y) = 7*y**2 + 7*y + 5. Determine b*r(x) - t(x).
-x**2 - x + 1
Let r(u) be the second derivative of -u**4/6 - 5*u**3/6 - 9*u**2/2 - 3*u. Suppose 0*v + 2*v - 16 = 0. Let x(a) = 3*a**2 + 8*a + 14. What is v*r(y) + 5*x(y)?
-y**2 - 2
Let y(m) = -5*m + 18. Let f(q) = 11*q - 35. Calculate 6*f(z) + 13*y(z).
z + 24
Let g(o) = 9*o - 2. Suppose -11 = -5*z + 14. Let n(h) = -14*h + 3. Calculate z*n(b) + 8*g(b).
2*b - 1
Let p(j) = -4*j**3 + 3*j**2 - 2*j. Let s(a) = 5*a**3 - 2*a**2 + 3*a. Calculate -3*p(i) - 2*s(i).
2*i**3 - 5*i**2
Let a(d) = 7*d + 8. Let p(h) = 7 + 13*h + 8 - h + h. Calculate 11*a(j) - 6*p(j).
-j - 2
Let k(o) = -o + 1. Let r(l) = 5*l - 6. What is 11*k(c) + 2*r(c)?
-c - 1
Let f(o) = 5*o**2 + 3*o + 3. Let b be ((-2)/4)/((-2)/(-24)). Let n = b + -2. Let t(s) = 3*s**2 + 2*s + 2. What is n*t(v) + 5*f(v)?
v**2 - v - 1
Let u(v) = -5*v**3 - 3*v**2 - 5*v + 2. Let h(o) = 21*o**3 + 13*o**2 + 21*o - 9. Calculate 2*h(a) + 9*u(a).
-3*a**3 - a**2 - 3*a
Let w(v) = 2*v**3 - 4*v**2 - 3*v + 1. Let i(a) = -7*a**3 + 11*a**2 + 8*a - 3. What is 3*i(q) + 8*w(q)?
-5*q**3 + q**2 - 1
Suppose u + 4 - 2 = 0. Let m(c) = c - 1. Let g(r) = 3*r - 2. Let q(b) = 3*g(b) - 8*m(b). Let n(l) = -l + 0*l + 4*l + 5. What is u*n(y) + 5*q(y)?
-y
Let m(o) = 2*o**2 - 6*o - 4. Let n(j) = -5*j**2 + 18*j + 11. What is 11*m(l) + 4*n(l)?
2*l**2 + 6*l
Let o(d) = -5*d + 1 + 4 - 4. Let w be o(1). Let p(q) = -q + 1. Let u(t) = 11 + 18 + 5*t - 44 + 10. Calculate w*p(r) - u(r).
-r + 1
Let o be 9/(-15)*(-6 + 1). Let a(v) = 5*v + 4*v**2 - 6*v + 3*v**2 - 5*v**2. Let b(p) = -3*p**2 + 2*p. Give o*b(i) + 4*a(i).
-i**2 + 2*i
Let s(y) = -3*y**2 - 5*y. Let g(r) = -2*r**2 - 3*r. What is -5*g(c) + 3*s(c)?
c**2
Let f(u) = 19*u**3 + 7*u**2 + 11. Let q(a) = 9*a**3 + 3*a**2 + 5. Calculate 3*f(n) - 7*q(n).
-6*n**3 - 2
Let v(p) = -p**2 + 5*p. Let y(j) = -j**2 + 8*j. Suppose -5*w = 2*h - 34 + 9, 5*w - 2*h = 25. Determine w*y(r) - 8*v(r).
3*r**2
Let j(m) = -3*m**2 - 5*m - 9. Let b(g) = 3*g**2 + 6*g + 9. Determine 4*b(f) + 5*j(f).
-3*f**2 - f - 9
Let n(s) = s**2 - s + 1. Suppose -7*k - 8 + 1 = 0. Let q(f) = 2*f**2 - f + 1. What is k*n(c) + q(c)?
c**2
Let i(x) = 3*x - 5. Let d(u) = 5*u**2 - 11*u + 7. Let o(q) = 6*q**2 - 12*q + 6. Let r(c) = 5*d(c) - 4*o(c). What is 7*i(f) + 3*r(f)?
3*f**2 - 2
Let n = 16 - 11. Suppose -5*r + 0*r - 30 = 0. Let f(q) = -4*q**3 - 4*q + 6. Let s(g) = -3*g**3 - 3*g + 5. Give n*f(c) + r*s(c).
-2*c**3 - 2*c
Let o(i) = -2*i**3 + 5*i**2 + 6*i. Let v(s) = -2*s**3 + 4*s**2 + 5*s. Give -6*o(j) + 7*v(j).
-2*j**3 - 2*j**2 - j
Let o(a) be the third derivative of 5*a**4/24 + a**3/2 + 2*a**2. Let q(s) = 6*s + 4. Let h be (2 - (-6)/3) + -1. Give h*q(y) - 4*o(y).
-2*y
Let h(c) = 3*c**2 - 2*c + 10. Let p(s) = s**2 - s + 5. Give -2*h(o) + 5*p(o).
-o**2 - o + 5
Suppose 2*a - 35 = -3*a. Let w(v) = -4*v - 6. Let x(n) = 4*n + 7. Calculate a*w(h) + 6*x(h).
-4*h
Let m(h) = -6*h**3 + 4. Let i(u) = u**3 - 1. Let t(n) = 5*n**2 - 1. Let c be t(-1). Determine c*i(z) + m(z).
-2*z**3
Let p(c) = -7*c**2 - 5*c + 5. Let i(l) = -4*l**2 - 3*l + 3. Let n be ((-30)/(-20))/(2/(-4)). Calculate n*p(o) + 5*i(o).
o**2
Let w(t) = 12*t. Let a(k) = k. Determine 12*a(v) + 3*w(v).
48*v
Let n(q) = 11*q**2 - 5*q - 4. Let k(b) = -21*b**2 + 9*b + 7. Give 6*k(h) + 11*n(h).
-5*h**2 - h - 2
Let g(x) be the first derivative of x**4/4 + 5*x**3/3 - 3*x**2 + 6*x + 3. Let q(j) = j**2 - j + 1. What is -g(c) + 6*q(c)?
-c**3 + c**2
Let n(x) = 9*x**3 + 21*x**2 + 21*x + 21. Let h(y) be the third derivative of -y**6/120 - y**5/30 - y**4/12 - y**3/3 - 2*y**2. Give 21*h(z) + 2*n(z).
-3*z**3
Let u be (-2 - -4) + -3 - -3. Let p(v) = 7*v - 4 - 3 - v. Let d(h) = h - 1. Give u*p(t) - 14*d(t).
-2*t
Let n(i) = -5*i**2 - 4*i + 3*i + 3*i + 1. Suppose -49 - 2 = -3*f. Let w = f - 14. Let g(d) = 6*d**2 - 3*d - 2. Determine w*g(t) + 4*n(t).
-2*t**2 - t - 2
Let p(k) = 4*k**2 - 5*k + 7. Suppose 0 = 5*g + 3*i + 40, -3*g + 0*g - 3*i - 24 = 0. Let r(j) = -6*j**2 + 8*j - 11. What is g*p(s) - 5*r(s)?
-2*s**2 - 1
Suppose -8*s + 4*s + 32 = 0. Let k(o) = -8 + o + s. Let x(t) = 0*t + 2*t + 4*t. Calculate -4*k(m) + x(m).
2*m
Let u(f) = f - 1. Let j(l) = 16*l + 1. Give j(n) + u(n).
17*n
Let n(p) = -17*p**2 + 7*p**2 + 1 + 9*p**2 + p. Let m(a) = 12*a**2 - 5*a - 5. Calculate m(v) + 5*n(v)