 - 9. Determine s*z(k) - 9*f(k).
2*k**2
Let p(d) = 6*d + 3. Let g(a) = -a + 1. Let u(h) = 2*h + 5. Let f(r) = -3*g(r) + u(r). Calculate -5*f(j) + 4*p(j).
-j + 2
Let n(y) be the second derivative of y**5/4 - y**4/6 + 3*y**2/2 - 5*y. Let r(z) = 6*z**3 - 3*z**2 + 4. Give 4*n(t) - 3*r(t).
2*t**3 + t**2
Let h(x) = -3*x**2 - 4*x + 2. Suppose 3*n - 29 = 5*b, 0 = -0*b - 3*b - 5*n + 3. Let i(t) = 4 + 0*t - t - t**2 - 3. Determine b*i(m) + h(m).
m**2 - 2
Let n(z) = 14*z + 1. Let c(o) = 29*o + 2. Calculate 6*c(b) - 13*n(b).
-8*b - 1
Let b(v) = v. Let l(q) = -73*q**2 - 219*q. Give -219*b(u) - l(u).
73*u**2
Let h(z) = -15 - 7*z + 3 + 8. Let y(u) = 15*u + 9. What is 9*h(k) + 4*y(k)?
-3*k
Let b(x) be the second derivative of 7*x**3/6 - 3*x**2/2 + 7*x. Let l(y) = -y + 1. Let h(z) = -z**3 - 4*z**2 + 7*z + 5. Let v be h(-5). What is v*l(d) - b(d)?
-2*d - 2
Let q(j) = 4*j**3 + j**2 + 2*j - 3*j**2 + 0*j**3. Suppose 10 = 4*f + f. Let k(a) = 17*a**3 - 9*a**2 + 9*a. Calculate f*k(y) - 9*q(y).
-2*y**3
Let w(l) = -20*l + 11. Let k(p) = 7*p - 4. Let h = -6 + 9. Suppose 7*f - h*f = 16. Let j be f/(-6)*(-51)/2. What is j*k(v) + 6*w(v)?
-v - 2
Let n(d) = -9*d**2 + 17*d + 13. Let t = 1 - -5. Let i(q) = 38*q**2 - 20*q**2 - 20*q**2 - 3 + 6 + 4*q. Determine t*n(z) - 26*i(z).
-2*z**2 - 2*z
Let p(u) = -u**2 - u + 1. Let x(y) = -4*y + 4. Calculate 20*p(j) - 5*x(j).
-20*j**2
Let a(q) be the first derivative of 19*q**4/4 + 13*q**3/3 + 13*q**2/2 - 15*q - 57. Let u(r) = 9*r**3 + 6*r**2 + 6*r - 7. What is -6*a(m) + 13*u(m)?
3*m**3 - 1
Let w(o) = 4*o + 2 + 5*o + 7 - 4. Let p(l) = -4*l - 2. Let k be 3*((-34)/6 + 1). Give k*p(i) - 6*w(i).
2*i - 2
Let s(k) = -k + 1 + k**2 + 6*k - 4*k. Let n = 16 + -17. Let a(t) = -2*t**3 - 3*t**2 - 4*t - 1. Determine n*a(r) - 3*s(r).
2*r**3 + r - 2
Let y(f) = 2*f**2 - f - 2. Let b = -7 - -4. Let z(c) = 2*c - 10 + 3*c**2 - 4*c + 7. What is b*z(x) + 5*y(x)?
x**2 + x - 1
Let m = 220 - 216. Let w(z) be the first derivative of 4*z + 5/2*z**2 + z**3 + 2 + 1/2*z**m. Let a(u) = u**3 + 2*u**2 + 4*u + 3. Calculate -4*a(r) + 3*w(r).
2*r**3 + r**2 - r
Let c(y) = y**3 - 2*y + 5*y**2 + y**2 - 4*y**2 + 1. Let z(f) = 0*f**2 - 5 + 11*f - 13*f**2 - 5*f**3 + 2*f**2. Suppose 0*v = v - 4. Calculate v*z(a) + 22*c(a).
2*a**3 + 2
Let n = 23 - 19. Let x be 1/(4/(-3))*-4. Let j(w) = 5*w. Let f(u) = 13*u + 5. Let a(t) = -6*t - 2. Let d(h) = 5*a(h) + 2*f(h). Calculate n*d(z) + x*j(z).
-z
Let j(m) = -14*m**2 - m + 1. Let w(r) = r**2. What is -j(q) - 6*w(q)?
8*q**2 + q - 1
Let x(t) = -t**2 - t. Let u(p) = 7*p**2 - p. Give u(i) + 6*x(i).
i**2 - 7*i
Let u(q) = 16*q**3 + 11. Let n(t) = -t**2 - 3*t + 2. Let k be n(-3). Suppose -9 = -2*r - r. Let c(v) = -4 + 1 - r + 4 - 3*v**3. What is k*u(h) + 11*c(h)?
-h**3
Let d(c) = 2*c**2 + 3*c - 3. Let p(b) = 4 - b - 5*b**2 + 3*b**2 - 3*b. Suppose -6 = -3*y + 3. Give y*p(v) + 4*d(v).
2*v**2
Let x(p) = -17*p**3 + 13*p**2 + 13*p. Let r(q) = 8*q**3 - 6*q**2 - 6*q. What is 13*r(l) + 6*x(l)?
2*l**3
Let s(w) be the first derivative of -15*w**2/2 - 13*w - 2. Let o(c) = -7*c - 6. Let j be (-3)/(-9) + (-68)/(-12). Determine j*s(k) - 13*o(k).
k
Let u = 22 + -15. Let k(h) = 1 - 2 + 0 + h - 5. Let z(c) = 2*c - 11. Give u*k(r) - 4*z(r).
-r + 2
Let p(h) = 4*h + 2. Suppose 4*t + 3*t = -42. Let c(g) = 7*g + 3. Determine t*c(u) + 10*p(u).
-2*u + 2
Let q(i) = -13*i**2 + 10. Let d be (2/5)/(1/10). Let n(k) = -7. Let m(o) = o**2 - 6. Let b(w) = d*m(w) - 3*n(w). What is 7*b(r) + 2*q(r)?
2*r**2 - 1
Let x(n) = -6*n**2 + 8*n + 5. Let i(b) = -5*b**2 + 7*b + 4. Calculate 5*i(m) - 4*x(m).
-m**2 + 3*m
Let j = -16 + 11. Let b(t) be the first derivative of 2*t**3/3 - 5*t**2/2 - 8*t + 15. Let y(p) = -4*p + 1 - 10 + 2*p**2 + 2. Determine j*b(v) + 6*y(v).
2*v**2 + v - 2
Let t(h) = 7*h**2 - h - 7. Suppose 8 = -4*o, 6*o = 5*d + 3*o + 24. Let c(z) = -4*z + 15*z**2 - z + 3*z - 15. What is d*c(k) + 13*t(k)?
k**2 - k - 1
Let z(y) = 55*y - 2. Let k(b) = 385*b - 15. Give 2*k(h) - 15*z(h).
-55*h
Let v(w) be the third derivative of 0*w + 1/12*w**5 - 1/20*w**6 + 0*w**4 + 0 + 0*w**3 - 3*w**2. Let h(t) = 7*t**3 - 6*t**2. Give -5*h(d) - 6*v(d).
d**3
Let o(y) = -y**2 + 2*y - 5. Let z(j) = 2*j**2 - 4*j + 7. Let c(r) = 2*r**2 - 4*r + 6. Let l(q) = -4*c(q) + 5*z(q). Give 6*l(k) + 13*o(k).
-k**2 + 2*k + 1
Let j(s) = -3*s + 4. Let z(l) = 3*l - 5. Determine -4*j(w) - 3*z(w).
3*w - 1
Let b(a) = a**3 + a. Let t(v) = 5*v - 22. Let p be t(5). Let w(d) = 8*d**3 + 2*d + 1. Calculate p*b(x) - w(x).
-5*x**3 + x - 1
Let t(u) = -u - 3. Let z(y) = -y - 2. Let s(v) = 3*t(v) - 4*z(v). Let l(o) = -o. Let j(b) = -2*b + 6. Let r(w) = -j(w) - 2*l(w). Determine -r(h) + 6*s(h).
2*h
Let k(v) = v**2 - v - 1. Let a(g) = 2*g**2 - 1 - 6*g**2 - g + 6*g**2. Give -2*a(f) + 2*k(f).
-2*f**2
Let q(g) = 5*g - 2. Let a be 0*(-2 - -1)/(-1). Suppose a = p - k - 3, -10 = -2*p - 0*p + k. Let y(c) = -4*c + 2. What is p*y(x) + 6*q(x)?
2*x + 2
Let i(n) be the first derivative of 2*n**3/3 - n**2/2 + 12. Let m(w) = w**2 - w. Calculate 2*i(k) - 2*m(k).
2*k**2
Let j(v) = -v - 8. Suppose -4*w + 6 = -2. Let m(f) = -5*f + 6*f + 5 + w. What is 5*j(d) + 6*m(d)?
d + 2
Suppose -3*y - 2 = -17. Suppose 0 = 2*w + 4*u + 20, 5 + 24 = -4*w + 3*u. Let c(i) = 6*i**2 + 6*i - 8. Let o(j) = 4*j**2 + 4*j - 5. Calculate w*o(t) + y*c(t).
-2*t**2 - 2*t
Let x(z) = 13*z**2 + 10*z + 7. Let d(f) = -9*f**2 - 7*f - 5. Calculate -7*d(k) - 5*x(k).
-2*k**2 - k
Let x(z) = z**2 - 2*z - 1. Let b(q) = 3*q**2 - 7*q - 3. Determine 2*b(p) - 7*x(p).
-p**2 + 1
Let w(q) = -4*q + 2. Let g(v) = -2*v + 1. Calculate 9*g(b) - 4*w(b).
-2*b + 1
Let c be 4/14 + (-92)/28. Let t(w) = 5*w**3 - 3*w**2 + 3. Let y(b) = b. Let x(r) = 9*r**3 - 5*r**2 - r + 5. Let d(m) = x(m) + y(m). What is c*d(n) + 5*t(n)?
-2*n**3
Let h(z) = -z**3 - 4*z**2 + 5*z + 3. Let y(a) = a**2 - a - 1. Give h(i) + 3*y(i).
-i**3 - i**2 + 2*i
Let r(k) = -6*k + 7. Let g(w) = w - 1. Let c(s) = s**3 - 7*s**2 + 11*s - 4. Let m be c(5). What is m*r(b) + 5*g(b)?
-b + 2
Let s(o) be the second derivative of -o**5/5 + o**4/6 + o**3/2 + o**2 + 4*o. Let d(m) = -7*m**3 + 3*m**2 + 5*m + 4. What is -3*d(n) + 5*s(n)?
n**3 + n**2 - 2
Suppose 4*d + 1 - 5 = 0. Suppose d = u - 1. Suppose 5*h + 2 + 3 = 0. Let n(o) = -2*o - 4. Let t(g) = -g**2 - g - 1. Give h*n(k) + u*t(k).
-2*k**2 + 2
Let z(o) = 15*o**2 + 4*o + 9. Let c(v) be the third derivative of 0*v + 2/3*v**3 - 4*v**2 + 0 + 1/12*v**4 + 7/60*v**5. Give -13*c(h) + 6*z(h).
-h**2 - 2*h + 2
Let y(k) = -k**3 - 6*k**2 + 4*k - 7. Let a(o) = 1. Let h(x) = x**2 - x. Let n(d) = -a(d) - h(d). Let m = 2 - -4. Calculate m*n(c) - y(c).
c**3 + 2*c + 1
Let z(f) = f**3 - f**2 + 1. Let j(b) = -5*b**3 + 8*b**2 + 2*b - 3. Give j(p) + 3*z(p).
-2*p**3 + 5*p**2 + 2*p
Let h(f) = 4*f**3 - 7*f + 5. Let m(n) = 2*n**3 - 4*n + 3. Suppose 0 = -l + 3*i + 7, 0 = -3*l - 4*i - 20 - 11. Calculate l*m(d) + 3*h(d).
2*d**3 - d
Suppose 12*p - 3 = 9*p. Let y(g) = -g**3 + g**2 + 1. Let h(m) = -6*m**3 + 2*m**2 + 1. Give p*y(c) - h(c).
5*c**3 - c**2
Let r = 38 - 28. Let t(a) = -2*a + 0*a + 2 + 5*a. Let j(z) = z + 1. Calculate r*j(b) - 4*t(b).
-2*b + 2
Let f(s) = s**2 - s. Let w be (2 - -3) + -9 - 5/(-1). Let h(u) = -u**3 + 2*u**2. Give w*h(a) - 3*f(a).
-a**3 - a**2 + 3*a
Let g(p) = 6*p - 3. Let d(x) = -3*x + 1. Give -5*d(s) - 2*g(s).
3*s + 1
Let f = 22 + -21. Let d(q) = -q - 1. Let i(j) = 1 + 5 + 3*j - 4. What is f*i(x) + 2*d(x)?
x
Let h(i) = -i**2 + 7*i + 1. Let o(k) = k**3 - k**2 - k + 1. Give h(s) - o(s).
-s**3 + 8*s
Let r(k) = -7*k**3 - 4*k**2 - 5*k - 4. Let n(c) = -6*c**3 - 3*c**2 - 4*c - 3. Calculate -5*n(z) + 4*r(z).
2*z**3 - z**2 - 1
Let w(a) = a - 1. Let v be 4/(-10) - 3/5. Let z(l) = 4*l - 3. What is v*z(m) + 5*w(m)?
m - 2
Let z(b) = 1. Let f(o) = o**3 - o**2 - 4. Determine -f(m) + z(m).
-m**3 + m**2 + 5
Let t(n) = -3*n + 2. Let z(b) = -4*b + 3. Let g(x) = -7*t(x) + 5*z(x). Let o(s) = 9*s + 7. Let y(r) = -2*r**2 + 12. Let d be y(3). Determine d*g(q) + o(q).
3*q + 1
Let q(a) = -6*a**2 - 4*a - 5. Let k(t) = -5*t**2 - 3*t - 6. Let h(n) = 5*k(n) - 6*q(n). Let o(b) = -6*b**2 - 5*b. Determine 4*h(y) + 7*o(y).
2*y**2 + y
Let u(t) = 7*t. Let w(y) = -20*y. Calculate 7*u(p) + 2*w(p).
9*p
Let h(r) = -7*r**3 - r**2 - 4*r - 4. Let g(z) = -13*z**3 - 2*z**2 - 7*z - 7. What is -4*g(t) + 7*h(t)?
3*t**3 + t**2
Let k(l) = -l**3 - l**3 + 3*l