n)?
-n - 1
Let t(i) = -9*i**3 + 8*i - 8*i. Let o(f) be the first derivative of -f**4 + 3. What is 13*o(y) - 6*t(y)?
2*y**3
Let s(z) = -10*z**2 - 4*z - 3. Let c(i) = -31*i**2 - 13*i - 10. Calculate -2*c(y) + 7*s(y).
-8*y**2 - 2*y - 1
Suppose -2*b - 5 = -3. Let m(f) = -f - 4. Let c(i) = -1. Give b*m(u) + 5*c(u).
u - 1
Let x(h) be the first derivative of -h**3/3 - h**2/2 - h - 1. Suppose -60*r = -58*r - 2. Let d(i) = 5*i**2 + 4*i + 4. Give r*d(w) + 4*x(w).
w**2
Let f(t) be the second derivative of t + 5/6*t**3 - 2*t**2 + 0. Let q(k) = 11*k - 9. Determine -13*f(r) + 6*q(r).
r - 2
Let n(t) = -4*t**2 + 3*t - 8. Let l(o) = -3*o**2 + 2*o - 7. Calculate -6*l(m) + 4*n(m).
2*m**2 + 10
Let i(h) = -18*h**3 + 4*h**2 - 3. Let m(x) = -36*x**3 + 9*x**2 - 6. What is 9*i(a) - 4*m(a)?
-18*a**3 - 3
Let a(d) = d**2. Let y(n) = -n**2 + n. Let w(c) = 5*c**2 + 2*c - 1. Let m(t) = -w(t) + y(t). Calculate -10*a(u) - 2*m(u).
2*u**2 + 2*u - 2
Let b(n) = -13*n - 1. Let o(s) = -3*s. Give -2*b(u) + 9*o(u).
-u + 2
Suppose 0 = 3*o - 5*o + 8. Let g(n) = 7*n - 3. Let d(u) = u + 1. Let m(y) = 2*y + 10. Let l(j) = 8*d(j) - m(j). Determine o*g(t) - 5*l(t).
-2*t - 2
Let w(b) = -b - 2. Let m(p) = 5*p + 2. Let y(g) = m(g) + 4*w(g). Let d(o) = -2*o + 13. Determine 2*d(k) + 5*y(k).
k - 4
Let i(r) = 3*r + 9. Let j(f) = f + 1. Determine -i(x) + 5*j(x).
2*x - 4
Suppose -2*j = v + 9, 0 = 3*j - 2*v - 0*v + 3. Let a(t) = -t**3 + 7. Let z(i) = -3 + 2 + 0. Calculate j*a(g) - 21*z(g).
3*g**3
Let s(h) = 3*h**3 - 4*h**3 - 99*h**2 + h - 100*h**2 + 1 + 198*h**2. Let g(i) = 7*i**3 + 6*i**2 - 6*i - 7. Give -g(x) - 6*s(x).
-x**3 + 1
Let r(w) = -w**2 - w + 5. Let i(x) = 3*x**2 + 3*x - 9. Calculate -3*i(l) - 5*r(l).
-4*l**2 - 4*l + 2
Let h(o) = -o + 1. Suppose 0 = q - 6 + 1. Let z(a) = -6*a + 4. Determine q*h(v) - z(v).
v + 1
Suppose 0 = -2*c - c + 12. Let a(m) = 3. Let y(n) = n + 1. Let j(h) = -a(h) - 4*y(h). Let i(o) = 2*o + 4. What is c*j(q) + 7*i(q)?
-2*q
Let y(t) = 9*t - 9. Let i(n) = 4*n - 4. Let v = -29 + 15. Determine v*i(q) + 6*y(q).
-2*q + 2
Let s(r) = r. Let v(j) = 29*j**2 + 6*j. Determine -6*s(c) + v(c).
29*c**2
Let q(w) = w - 37. Let o(g) = -5*g + 149. Determine -2*o(p) - 9*q(p).
p + 35
Let s(k) = -k + 7. Let o(d) = -2. Calculate -2*o(r) - 2*s(r).
2*r - 10
Let i(c) = 3 - 2 + 3*c + 8. Let h(a) = -4*a - 10. Let y(x) = 4*h(x) + 5*i(x). Let d(p) = -1. Let o(t) = 4. Let r(l) = -3*d(l) - o(l). Determine -4*r(q) - y(q).
q - 1
Let a(q) = q + 4. Let x(t) = -t - 5. What is -6*a(u) - 4*x(u)?
-2*u - 4
Let z(k) = 133*k**3 - 19*k**2 - 19*k + 19. Let s(c) = 22*c**3 - 3*c**2 - 3*c + 3. Determine 19*s(o) - 3*z(o).
19*o**3
Let h(g) = 2*g + 3. Let w(n) = n + 2. Suppose -5*b + 2 = -8. Suppose -13 = -0*d + 5*d - 2*j, -11 = 3*d + 2*j. What is b*h(y) + d*w(y)?
y
Let y(a) = -a. Let w(l) = 6. Let d(f) = f + 17. Let h(p) = 6*d(p) - 17*w(p). What is -h(k) - 4*y(k)?
-2*k
Let w(z) = -2*z - 7. Let t(y) = -4*y - 13. Calculate 4*t(u) - 7*w(u).
-2*u - 3
Let n(s) be the third derivative of 0*s - s**2 - s**4 + 0 + 2/3*s**3. Let p(d) = -5*d + 1. Suppose -14 = -k - 0*k. What is k*p(v) - 3*n(v)?
2*v + 2
Let n be -3 + 7 + 0 - 1. Let z(x) = 2*x**3 - 5*x**2 - 3*x - 3. Let d(i) = -3*i**3 + 6*i**2 + 4*i + 4. Calculate n*d(s) + 4*z(s).
-s**3 - 2*s**2
Let t(u) = 4*u**3 + 3*u + 4. Let h(q) = 11*q**3 - q**2 + 8*q + 11. What is -3*h(b) + 8*t(b)?
-b**3 + 3*b**2 - 1
Let d(x) = -13*x - 60. Let i(c) = -9*c - 40. Calculate 5*d(r) - 7*i(r).
-2*r - 20
Let f(j) = -5*j**2 - 5. Suppose 2*d = 3*c + d + 19, 0 = 2*c + 4*d + 8. Let o(k) = k**2 - 3*k**2 - 3 - 1 - 2*k**2. Determine c*f(q) + 7*o(q).
2*q**2 + 2
Let o(a) be the second derivative of 2*a + 0 + 7/2*a**2 + 5/3*a**3. Suppose 0 = -3*t - 11 + 23. Let m(n) = 3*n + 2. Give t*o(s) - 14*m(s).
-2*s
Let o(d) = -2*d**3 - 4*d**2 - d - 6. Let w be (3/(-9)*-3)/1. Let l(r) = -r**2 - 1. Calculate w*o(g) - 4*l(g).
-2*g**3 - g - 2
Let i(p) = p**3 - 5*p**2 + 2*p + 5. Let s be i(5). Suppose -10*n + s*n = 10. Let z(b) = b**3 + b**2 - 1. Let a(y) = 2*y**2 - 2*y - 2. Determine n*z(r) - a(r).
2*r**3 + 2*r
Let r(b) = b**2 - b - 1. Let w(m) = 6*m**2 - 4*m - 4. Calculate 4*r(x) - w(x).
-2*x**2
Let i(d) = 26*d**2 - 4*d - 4. Let w(l) = 495*l**2 - 77*l - 77. Calculate -77*i(g) + 4*w(g).
-22*g**2
Suppose 172 = 4*w - s, 0*s + s - 129 = -3*w. Let v = w - 26. Let y(j) = -14*j**2 + 3*j + 23. Let q(c) = 5*c**2 - c - 8. Calculate v*q(k) + 6*y(k).
k**2 + k + 2
Let t(x) be the second derivative of x**3/6 + x**2/2 + 8*x. Let n(h) = 5*h + 3. Determine -n(k) + 3*t(k).
-2*k
Let a(r) be the second derivative of r**2 + r. Let x(l) = -3*l - 13. Let s(b) = -8*b - 38. Let j(i) = -4*s(i) + 11*x(i). Determine -9*a(m) + 2*j(m).
-2*m
Let z(o) = 2*o - 3. Let r(t) = 6*t - 16. Let m(j) = -2*j + 5. Let v(l) = -10*m(l) - 3*r(l). Suppose -4 = -5*g + 11. Determine g*v(s) - 2*z(s).
2*s
Let i(o) = -5*o**2 + 1 + 3*o + 3*o**3 - 2*o**3 - 4*o. Let b be i(5). Let y(f) = -5*f - 1. Let j(a) = -6*a - 1. What is b*y(u) + 3*j(u)?
2*u + 1
Let m(k) = -7*k**2 - 15*k - 7. Let g(w) = -4*w**2 - 8*w - 4. What is -11*g(i) + 6*m(i)?
2*i**2 - 2*i + 2
Let q(n) = -n + 1. Let b(d) = d. Let z = 5 + -7. What is z*q(u) - b(u)?
u - 2
Let s(l) = 6*l - 1. Let k(i) = -i**2 - 1. Calculate -2*k(h) + 2*s(h).
2*h**2 + 12*h
Let h(i) = 2. Suppose 0 = -5*p - 3*x - 10, 3 - 9 = 3*p + 2*x. Let m(f) = -f**2 - 5. Suppose -3*w - 31 - 5 = 0. Let o = 7 + w. What is o*h(t) + p*m(t)?
2*t**2
Let t(w) = 8*w**2 - 13*w - 17. Let j(m) be the second derivative of m**4/6 - m**3/2 - 2*m**2 - 32*m. Give -9*j(a) + 2*t(a).
-2*a**2 + a + 2
Let o(m) = -675*m**2 - 55*m + 55. Let r(n) = 25*n**2 + 2*n - 2. What is 2*o(q) + 55*r(q)?
25*q**2
Suppose -3*v = -0 - 15. Let i(z) = -2*z**2 + 4*z + 3. Let o(j) = 2*j**2 - 5*j - 4. Calculate v*o(g) + 6*i(g).
-2*g**2 - g - 2
Suppose -5*s = 0, 5 = -n - 0*n - s. Let g(h) = -3 - 2*h + 14*h**3 - 32*h**3 + 13*h**3 + 5*h. Let z(j) = 9*j**3 - 5*j + 5. Give n*g(q) - 3*z(q).
-2*q**3
Let h(n) = -3*n**3 - 7*n**2 - 4*n - 2. Let b(q) = 3*q**3 + 6*q**2 + 3*q + 2. What is 7*b(i) + 6*h(i)?
3*i**3 - 3*i + 2
Let c(b) = 5*b. Let g(a) = 6*a + 1. Determine -3*c(q) + 2*g(q).
-3*q + 2
Let m(h) = 4*h**3 - 7*h**2 - 3*h + 7. Let a(v) = 3*v**3 - 5*v**2 - 2*v + 5. What is 7*a(f) - 5*m(f)?
f**3 + f
Let m(c) = 10*c**3 + 6*c**2 - 14*c - 6. Let n(b) = -3*b**3 - 2*b**2 + 5*b + 2. Determine -6*m(l) - 17*n(l).
-9*l**3 - 2*l**2 - l + 2
Let w(s) = -7*s - 4. Suppose 0 = -5*c - 2*b + 4 - 35, 5*b = 4*c + 5. Let g(n) = n + 1. Determine c*g(o) - w(o).
2*o - 1
Suppose 2*z = 2*c - 14, 16 = -3*c + c - 4*z. Let i = 4 - c. Let a(x) = x + 3. Let u(r) = 3*r - 4*r - 4 - 3*r + 2*r. Determine i*u(j) + 3*a(j).
-j + 1
Let b(k) = 2*k**3 + 3*k**2 + k - 3. Suppose -3 = 3*l, 5*l - 3 = q - 6. Let v(c) = 2*c**3 + 2*c**2 - 3. Calculate q*b(g) + 3*v(g).
2*g**3 - 2*g - 3
Let g(t) be the first derivative of 0*t + 4 - 1/2*t**2. Let s(a) = 4*a. Calculate -9*g(n) - 2*s(n).
n
Let u(y) = y. Let h(w) = -w + 1. Let r(b) = -3*h(b) - u(b). Let l(f) = f. What is -3*l(z) + r(z)?
-z - 3
Suppose 2*s = -0*s + a - 23, -3*s = -2*a + 35. Let n(o) = -5*o - 2. Let m(b) = 9*b + 4. Determine s*n(u) - 6*m(u).
u - 2
Let k(p) be the third derivative of p**5/60 - 3*p**2. Let f(m) = -m + 1. Let i(b) = -6*b**2 + 6*b - 6. Let s(y) = -6*f(y) - i(y). Calculate -5*k(q) + s(q).
q**2
Let m(q) = 7*q**3 - 2*q**2 + 4. Let c(l) = -6*l**3 + 2*l**2 - 3. Give 4*c(n) + 3*m(n).
-3*n**3 + 2*n**2
Let d(k) = 8*k**2 + 5. Let w(h) = 20*h**2 + 12. Determine -12*d(g) + 5*w(g).
4*g**2
Let r(o) = 27*o - 21*o**3 + 27 - 170*o**2 + 170*o**2. Let y(w) = -3*w**3 + 4*w + 4. Calculate -4*r(q) + 27*y(q).
3*q**3
Let l(d) = 12*d + 30. Let x(u) = -u - 1. Determine l(g) + 10*x(g).
2*g + 20
Suppose 0 = 2*l - 7*q + 3*q - 18, -45 = -5*l + 3*q. Let w = l - 3. Let u(h) = -h**2 - 6*h + 6. Let n(x) = -2*x**2 - 13*x + 13. Give w*n(r) - 13*u(r).
r**2
Let s(c) = -3*c - 1. Let z(a) = 7*a + 2. What is -9*s(q) - 4*z(q)?
-q + 1
Let o(t) = 4*t. Let b(h) = 8*h - 4. Let d(l) = 7*l - 3. Let r(q) = 2*b(q) - 3*d(q). Let k(y) = -6*o(y) - 5*r(y). Let v(c) = 2*c - 7. Give 7*k(z) - 5*v(z).
-3*z
Let d(x) = -3*x**3 - x**2 + 2. Suppose w + 2 = 1. Let b(r) = -r**2. Calculate w*b(k) + d(k).
-3*k**3 + 2
Let m(r) = -r**2 - r + 1. Let t(y) = 7*y**2 + 3*y - 4. Let a(v) = v**3 + 4*v**2 + 3*v + 1. Let f be a(-3). Determine f*t(i) 