- 13. Determine r*v(k) - 5*b(k).
-k**2 - k + 2
Let k(y) = -30*y**3 - 17*y**2 - 9*y. Let r(v) = 10*v**3 + 6*v**2 + 3*v. Calculate 6*k(p) + 17*r(p).
-10*p**3 - 3*p
Let p(x) = 2. Let c(z) = z**2 + 2*z + 2. Let k be c(-3). Let o(a) be the first derivative of -k*a + 1 - 1/2*a**2. Determine -2*o(d) - 5*p(d).
2*d
Let f(b) be the second derivative of b**5/20 + b**3/6 - b**2/2 - 2*b. Let i(d) = 7*d**3 - 2*d**2 + 5*d - 7. Calculate 5*f(s) - i(s).
-2*s**3 + 2*s**2 + 2
Suppose 0 = 46*o - 53*o - 7. Let h(z) = 2*z**3 + z**2 - z - 1. Let m(f) = f**3 - f - 1. Determine o*m(k) + h(k).
k**3 + k**2
Let l(p) = 9*p + 10. Let n(t) = -19*t - 21. Give -7*l(r) - 3*n(r).
-6*r - 7
Let n(c) = -14*c**3 + 8*c**2 + 8*c - 8. Let i(m) = 9*m**3 - 5*m**2 - 5*m + 5. Suppose -3*b - 15 = -5*q, 0*b - 2*b = -q + 10. Calculate b*n(d) - 8*i(d).
-2*d**3
Suppose 11 = 3*a + 5. Let k(l) = -3 + 5 + 2*l + 0 - a*l**2. Let t(b) be the second derivative of b**4/12 - b**3/3 - b**2 + b. Calculate -2*k(i) - 3*t(i).
i**2 + 2*i + 2
Let m(b) = b**3 - b**2 + b - 1. Let i(l) = -1 + 117*l + 6 + 2*l**2 - 3 - 119*l - l**3. What is 3*i(r) + 6*m(r)?
3*r**3
Let n = -7 - -10. Let l(r) be the first derivative of -4*r**3/3 + 9*r - 29. Let x(w) = 2*w**2 - 5. What is n*l(i) + 5*x(i)?
-2*i**2 + 2
Let j(l) = l**2 - 3*l - 7. Let b be j(5). Let h(x) = -5*x**3 + 3*x**2 + 4. Let p(s) = -3*s**2 - 2*s**3 - 12*s**3 + 11*s**2 + 10 + 1. Calculate b*p(v) - 8*h(v).
-2*v**3 + 1
Let r(m) = -m**3 + 5*m**2 + 5*m + 4. Suppose 1 + 9 = -5*t. Let u(b) = 2*b**2 + 2*b + 2. Calculate t*r(q) + 5*u(q).
2*q**3 + 2
Let i(z) = 42*z. Let l(x) = -42*x. Determine 2*i(o) + 3*l(o).
-42*o
Let d(s) = -1. Let y(r) = -3*r + 10. Calculate -22*d(n) - 2*y(n).
6*n + 2
Let c(p) = 7*p + 2. Let w(l) = -2. Let b(q) = -q + 1. Let t(z) = 3*b(z) + 2*w(z). What is -2*c(a) - 5*t(a)?
a + 1
Let p(l) = 7*l**2 - 6*l. Let z(t) = 2 - 3 + 1 - 13*t + 15*t**2. Give -13*p(d) + 6*z(d).
-d**2
Suppose 5*p - 2 = l - 21, 0 = 3*p + 3*l - 3. Let z(v) = -v. Let r(t) = -t. Determine p*r(j) + 4*z(j).
-j
Let f(i) = 5*i - 4. Suppose 3*k + 24 = 2*j + 6*k, -5*j + 18 = -3*k. Let c(n) = -n + 1. What is j*c(a) + f(a)?
-a + 2
Let y(d) = -d. Let q(x) = 1. Suppose 5*f = -5*t - 4 - 11, 2*t - 5*f = 1. What is t*y(k) - q(k)?
2*k - 1
Let b(g) = -6 - 2*g**2 + g + 2 - 2*g. Suppose 0 = -4*z - z + 30. Let j(c) = -2*c**2 - c - 5. Give z*j(k) - 7*b(k).
2*k**2 + k - 2
Let d = -17 + 20. Let y(j) = j**2. Let h(l) = 2*l**2 + 2*l. Give d*y(i) - h(i).
i**2 - 2*i
Let v(j) = -5*j - 57*j**2 + 5*j + 157*j**2. Let x(o) = -9*o**2. Give 4*v(n) + 45*x(n).
-5*n**2
Let j(u) = -16*u**2 - 10*u. Let t(d) = 5*d**2 + 3*d. Let h be (-135)/(-18)*4/10. What is h*j(q) + 10*t(q)?
2*q**2
Let m be (-2)/9 - 130/(-18). Let b(p) = 3*p - 20*p**3 + 7*p**3 - 13*p. Let f(a) = -10*a + 2*a - 9*a**3 + a. Give m*f(i) - 5*b(i).
2*i**3 + i
Let h(k) = -5*k**3 + 7*k**2 - k. Let g(y) = 9*y**3 - 13*y**2 + 2*y. Give 3*g(w) + 5*h(w).
2*w**3 - 4*w**2 + w
Let a(i) be the third derivative of -i**4/24 - i**3/6 - 5*i**2. Let u(w) = -2*w**3 + 2*w**2 + 4*w + 3. Give -3*a(s) - u(s).
2*s**3 - 2*s**2 - s
Let p(d) = -2*d - 3 + 8*d**2 - 7*d**2 + 1. Let y(s) = 3*s**2 - 5*s - 5. Calculate 5*p(u) - 2*y(u).
-u**2
Let x(t) = -4. Let z = -42 + 46. Let u(n) = -n**3 + 9. Give z*u(v) + 9*x(v).
-4*v**3
Let b(z) = 3*z**3 - 6*z**2 - 2*z - 2. Let t(q) = -q**3 + q**2 + q. Determine -b(s) - 2*t(s).
-s**3 + 4*s**2 + 2
Let g(s) = -6*s**3 - 4*s - 3. Let o(t) = t**3 + t. Calculate -g(i) - 4*o(i).
2*i**3 + 3
Let d(w) = w**2 + w - 1. Let y(k) = -2*k**3 + 16*k**2 + 12*k - 16. Calculate -12*d(u) + y(u).
-2*u**3 + 4*u**2 - 4
Let w(a) = -6*a - 8. Let q(p) = p - 1. What is -6*q(x) + w(x)?
-12*x - 2
Let i = 10 - 12. Let p(s) = -7*s**2 - 3*s + 9. Let w(c) = -3*c**2 - c + 4. Determine i*p(b) + 5*w(b).
-b**2 + b + 2
Let f(n) = n + 5. Let t = -172 + 170. Let v(a) = 6*a + 26. Determine t*v(w) + 11*f(w).
-w + 3
Let t(o) = 6*o - 6. Let m(r) = -3 + 5*r + 0 + 2 - 4. What is 4*m(k) - 3*t(k)?
2*k - 2
Let q(x) = 3*x - 3. Let a be (3 - 1)*(-9)/6. Let i(h) = 5 - 2*h - 20*h**2 - 3*h - 18*h**2 + 37*h**2. Give a*i(w) - 5*q(w).
3*w**2
Let q(j) = 29*j**3 + 116*j**2 - 116*j + 116. Let u(a) = -a**2 + a - 1. What is q(t) + 116*u(t)?
29*t**3
Let g(r) = 4*r + 4. Suppose 4*w + 10 = 22. Let c(y) = -4*y + y + 187 - 190. Give w*c(l) + 2*g(l).
-l - 1
Let o(t) = 0*t + 2*t - 4*t + t. Let y(i) = -8*i. Calculate -6*o(p) + y(p).
-2*p
Suppose 4*s + 7*s = -44. Let h(l) = -3*l**3 + 4*l**2 - 6*l + 4. Let b(f) = -3*f**3 + 5*f**2 - 7*f + 5. What is s*b(z) + 5*h(z)?
-3*z**3 - 2*z
Let f(x) = x. Let n(g) = -2*g - 1. Give -7*f(t) - 2*n(t).
-3*t + 2
Let w(s) = s. Let l(u) = -2*u**3 + 6*u - 9. Give l(a) - 6*w(a).
-2*a**3 - 9
Let q(k) = -32*k + 3. Let g(j) = 31*j - 2. What is -3*g(i) - 2*q(i)?
-29*i
Let b(x) = 3. Let l(z) = -z**2 - 5. Let t = 91 - 88. Determine t*l(i) + 5*b(i).
-3*i**2
Let j(v) = v**2 + 2*v + 3. Let r = -28 - -25. Let y(b) = -2*b**2 - 3*b - 5. Give r*y(d) - 5*j(d).
d**2 - d
Let t(f) = 12*f**2 - 5*f. Let r(a) = -35*a**2 + 14*a. Give -6*r(b) - 17*t(b).
6*b**2 + b
Let o(t) = 6*t**3 - 3*t**2 - t. Let i(l) = -23*l**3 + 13*l**2 + 5*l. Give -4*i(f) - 18*o(f).
-16*f**3 + 2*f**2 - 2*f
Suppose 5*l - 3*l + 8 = 0. Let s(v) = -5*v - 5. Let j(b) be the third derivative of b**4/4 + b**3 + 3*b**2. Calculate l*j(x) - 5*s(x).
x + 1
Let p(w) = -6*w**2 - 3*w + 3. Let k(s) = 5*s**2 + 3*s - 4. Give 7*k(t) + 6*p(t).
-t**2 + 3*t - 10
Suppose -2*k - 1 + 3 = 0. Let j(w) = -w. Let b(x) = 2*x. What is k*b(h) + 6*j(h)?
-4*h
Let u(g) be the first derivative of g**4/2 + 2*g**3 - 5*g**2/2 + 5*g + 2. Let k be -2*2 - (-2 - 8). Let z(q) = 2*q**3 + 7*q**2 - 6*q + 6. Give k*z(f) - 7*u(f).
-2*f**3 - f + 1
Let n(o) = -196*o. Let y(a) = -13*a. Determine -6*n(f) + 91*y(f).
-7*f
Let y(s) = -87*s. Let p(j) = 29*j. Determine -11*p(g) - 4*y(g).
29*g
Let n(f) = -5*f**2 - 5*f. Let s = -7 - -13. Let r(a) = 3*a**2 - s*a + 2*a - 7*a**2. Suppose 8*m = 3*m - 30. Give m*r(c) + 5*n(c).
-c**2 - c
Let v = 48 + -44. Let j(m) = 1. Let d(c) = 2*c + 7. Calculate v*j(y) - d(y).
-2*y - 3
Let b(d) = -49*d + 2. Let i(k) = 147*k - 6. What is 7*b(h) + 2*i(h)?
-49*h + 2
Let y(n) = 8*n**2 - 2. Let s(b) = -31*b**2 + 9. What is -2*s(t) - 9*y(t)?
-10*t**2
Let s(v) = 3*v**3 + 2*v**2 - 5*v + 6. Let d(c) be the third derivative of -c**6/30 - c**5/30 + c**4/4 - 7*c**3/6 - c**2. Give -5*d(k) - 6*s(k).
2*k**3 - 2*k**2 - 1
Let f(r) = -r**2 - r - 5. Let o(q) = q + 3. What is -3*f(l) - 5*o(l)?
3*l**2 - 2*l
Suppose -r = -2*r - 2*p - 1, -2 = 2*p. Let h(u) = -u - 1. Let i(m) = -m**2 - 5*m - 6. Give r*i(f) - 6*h(f).
-f**2 + f
Let k(i) = 13*i. Let y(r) = 1. Let x(n) = 3*n - 12. Let z(c) = -x(c) - 12*y(c). Give -4*k(a) - 18*z(a).
2*a
Suppose 3*f + 12 = f. Let z(r) be the second derivative of -7*r**3/6 + r**2/2 + r. Let o(j) be the second derivative of -j**3/6 + j. What is f*o(i) + z(i)?
-i + 1
Let n(b) = -b**3 + 3*b**2 + 3*b + 8. Let k(z) = -z**3 + 7*z**2 + 7*z + 17. Determine -3*k(o) + 7*n(o).
-4*o**3 + 5
Let j(f) = -3*f. Suppose n = -n - b - 14, n + 3*b = -17. Let u(i) = -4*i. What is n*j(t) + 4*u(t)?
-t
Let h(z) = 6*z**3 - 4*z + 4. Let g be 1080/(-260) - 2/(-13). Let i(s) = s**3 - s + 1. Determine g*i(n) + h(n).
2*n**3
Let q(t) = 513*t**2 - 95*t. Let m(u) = 16*u**2 - 3*u. What is -95*m(j) + 3*q(j)?
19*j**2
Let a(l) = 3*l**2 + 3*l - 4. Let r(g) = -6*g**2 - 7*g + 9. Determine 13*a(t) + 6*r(t).
3*t**2 - 3*t + 2
Let r(l) = -l. Let p(n) be the third derivative of n**4/24 + 22*n**2. Give -2*p(i) - 5*r(i).
3*i
Let t(j) be the first derivative of -3*j**4 + 11*j**3/3 + 22. Let c(w) = 4*w**3 - 4*w**2. Determine -17*c(a) - 6*t(a).
4*a**3 + 2*a**2
Let c(n) = 2*n**2 + 8*n - 1. Let l(y) = 2*y**2 + 7*y - 1. Determine -5*c(r) + 6*l(r).
2*r**2 + 2*r - 1
Let y(z) = -3*z**3 + 2*z**2 + 2*z. Let m(k) = 4*k**3 - 3*k**2 - 3*k. Let p(q) = -9*q**3 + 7*q**2 + 7*q. Let l(w) = 5*m(w) + 2*p(w). What is -7*l(g) - 4*y(g)?
-2*g**3 - g**2 - g
Let i(b) = 6*b + 3. Let v(x) = x + 1. Give i(g) - 4*v(g).
2*g - 1
Let r(y) = 20*y**2 + 8*y - 3. Let t(u) = -13*u**2 - 5*u + 2. Calculate 5*r(v) + 8*t(v).
-4*v**2 + 1
Let g(s) = -9*s**3 - 7*s**2 - 6. Let c(j) = -6*j**3 - 5*j**2 - 4. Let v(o) = -7*c(o) + 5*g(o). Let l(m) = -10*m**3 - 7. What is -2*l(n) + 7*v(n)?
-n**3
Let v(c) = 7*c + 6. Suppose -p = -3*z + 19, p + 3*p + 6 = -2*z. Let s(