- d**3/6 + 18*d**2. Let o(u) = -16*u**2 - 14*u - 14. Determine -2*o(w) + 28*z(w).
4*w**2
Let i(a) = -7*a**3 + 4*a**2 - 4*a. Suppose 43*t - 49*t = -24. Let o(k) = -36*k**3 + 21*k**2 - 21*k. What is t*o(c) - 21*i(c)?
3*c**3
Let x(l) = l**3 - l**2 - l - 1. Let z(k) = -6*k**2 - 6*k - 7. Determine -6*x(s) + z(s).
-6*s**3 - 1
Let f(t) be the third derivative of 0 + 0*t**3 + 3/8*t**4 - 3/20*t**5 + 0*t + 1/60*t**6 - 3*t**2. Let s(a) = a**3 - 4*a**2 + 4*a. Determine 4*f(o) - 9*s(o).
-o**3
Let q(s) = 56*s**3 - 14*s**2 - 14*s. Let d(g) = 11*g**3 - 3*g**2 - 3*g. What is 14*d(i) - 3*q(i)?
-14*i**3
Let t(i) = -8*i + 2. Let q(d) = -7*d + 2. Calculate 3*q(s) - 2*t(s).
-5*s + 2
Let c(j) = j - 1. Let v(q) = -q - 6. Give -4*c(f) - 2*v(f).
-2*f + 16
Let s(n) = -2*n - 4. Let o(v) = -1. Let j(i) = -i + 3. Let u(r) = -j(r) - 4*o(r). Give -s(y) - 4*u(y).
-2*y
Let g(j) be the second derivative of j**3/3 + j**2/2 - 2*j. Let s(o) be the second derivative of 2/3*o**3 + 0 + 3/2*o**2 + 3*o. What is -7*g(z) + 3*s(z)?
-2*z + 2
Let x(q) = -2*q**3 + 2*q**2 + 1. Let i(v) = -v**3. Calculate 5*i(w) - x(w).
-3*w**3 - 2*w**2 - 1
Let l(c) = -c - 1. Let d(q) = -5 - 1 + 4*q + 4 + 4. Let u(f) = -d(f) - 2*l(f). Let j(g) = -g**2 - 18*g. Calculate -2*j(t) + 18*u(t).
2*t**2
Let t(l) = 2*l**3 + 2*l - 5. Let s(g) = -g**3 + 1. What is -3*s(y) - t(y)?
y**3 - 2*y + 2
Let v(p) = 3*p**2 + 6*p - 4. Let l(o) = 7*o + 5 + 0*o**2 - 10 + 0 + 4*o**2. Suppose 2*u = -0*h + 2*h - 6, -15 = -h - 3*u. What is h*v(g) - 5*l(g)?
-2*g**2 + g + 1
Let v(m) = -24*m**3 + 2*m. Let d(f) = 48*f**3 - f**2 - 5*f. Calculate 2*d(x) + 5*v(x).
-24*x**3 - 2*x**2
Let g(q) = -33*q**2 - 3*q - 8. Let c(k) = -8*k**2 - k - 2. What is 9*c(z) - 2*g(z)?
-6*z**2 - 3*z - 2
Let w(t) = -6*t**2 - 5*t. Let y(h) = 2*h**2 + 2*h. Let g = -16 + 19. What is g*w(j) + 8*y(j)?
-2*j**2 + j
Let o(g) = 4*g - 13. Let q(s) = -7*s + 25. Calculate 11*o(r) + 6*q(r).
2*r + 7
Let r(z) = 53 - 59 + 0*z - z - z. Let h(v) = v + 5. What is -5*h(l) - 4*r(l)?
3*l - 1
Let a(g) = -g**3 + 5*g**2 - g. Let o(x) = -3*x**3 + 14*x**2 - 3*x. Give -11*a(v) + 4*o(v).
-v**3 + v**2 - v
Let h(l) = -l**3 - 6*l - 6. Let i(o) = o + 1. Let c = -25 - -26. Determine c*h(n) + 6*i(n).
-n**3
Let u(q) = 15*q + 54. Let r(n) = 3*n + 11. What is 21*r(z) - 4*u(z)?
3*z + 15
Let a(k) = -2*k**2 + 0*k - 2*k**2 + 8*k. Let b be (-8 - -1) + 1 + 0. Suppose -7 = -4*d - 3. Let p(f) = -f**2 + f. Determine b*p(m) + d*a(m).
2*m**2 + 2*m
Let x(h) = 8*h**3 + 5*h**2 + 8*h + 4. Let d(k) = k**3 + k**2 + k + 1. What is -6*d(q) + x(q)?
2*q**3 - q**2 + 2*q - 2
Let u = -25 - -35. Let o(k) = -12*k - 2. Let v(z) = -3*z + 2. Let i(x) = 7*x - 5. Let d(j) = -2*i(j) - 5*v(j). What is u*d(n) + o(n)?
-2*n - 2
Let u(d) = -19*d**3 + 8 + 6*d**3 + 8*d**3. Let w(c) = c**3 - 2. Give -2*u(j) - 9*w(j).
j**3 + 2
Let w(h) be the second derivative of 3*h**5/10 - h**4/6 + 2*h**3/3 - 3*h**2/2 + 24*h. Let q(p) = 13*p**3 - 5*p**2 + 9*p - 7. What is 4*q(m) - 9*w(m)?
-2*m**3 - 2*m**2 - 1
Suppose -3*k = -7 + 1. Let g(d) be the third derivative of -d**5/60 + 3*d**4/8 - d**3/6 + 116*d**2. Let i(o) = -2*o. Give k*g(f) + 9*i(f).
-2*f**2 - 2
Let f(z) = -4*z**3 - 2*z**2 + 6. Let s = 9 + -9. Let v = s + -6. Let w(k) = 3*k**3 + 2*k**2 - 5. Calculate v*w(p) - 5*f(p).
2*p**3 - 2*p**2
Let y(t) = 1. Let o(r) = -5*r. Give -o(j) - 2*y(j).
5*j - 2
Let k(x) = 10*x - 5. Let m = 60 - 62. Let g(c) = 5*c - 2. What is m*k(f) + 5*g(f)?
5*f
Let v(g) = -g**2 - g + 1. Let c(y) = 6*y**2 + 7*y - 4. Determine c(h) + 3*v(h).
3*h**2 + 4*h - 1
Let s(y) = -2*y**3 - 3*y**2 + 4*y - 4. Let b(q) = 2*q**3 + 2*q**2 - 4*q + 3. Give 4*b(j) + 3*s(j).
2*j**3 - j**2 - 4*j
Let v(y) = -10*y + 5. Let s(n) = -9*n + 4. Determine 5*s(h) - 4*v(h).
-5*h
Let q(d) = -d**3 + 70*d - 6. Let z(p) = p**3 - 71*p + 7. Give 7*q(y) + 6*z(y).
-y**3 + 64*y
Let i(b) = -b**2. Let u(s) = -s**2 - 2*s + 1. What is -4*i(t) + u(t)?
3*t**2 - 2*t + 1
Let g(l) = -2*l - 73. Let o(h) = -h - 24. What is -3*g(m) + 8*o(m)?
-2*m + 27
Let b(z) = -3*z**3 - 8*z**2 + 4. Let o(l) = -4*l**3 - 9*l**2 + 5. Give 7*b(h) - 6*o(h).
3*h**3 - 2*h**2 - 2
Let y(a) = -2*a. Let p(o) = -o**2. Let r(m) = -m**3 - 7*m**2 + m + 10. Let t be r(-7). Let w = 5 - t. Give w*p(u) - y(u).
-2*u**2 + 2*u
Let r(c) = -9*c - 5. Let t(p) = 4*p + 3. Calculate -2*r(d) - 5*t(d).
-2*d - 5
Let k(b) = b + 5. Let h(u) = -u**2 + 4. Let z be h(3). Let j(l) = 4*l + 16. Determine z*j(c) + 16*k(c).
-4*c
Let m(l) = l**2 + 4*l. Suppose -4*c + a = 3, 5*c - 3*a - 15 = 2*a. Let t(g) be the first derivative of -g**3/3 - 5*g**2/2 - g - 2. Give c*t(z) - 3*m(z).
-z**2 - 2*z + 2
Let u be 26/(-4) - (-1)/(-2). Let h(d) = -7*d**3 - 9*d**2 - 7*d. Let a(t) = 3*t**3 - 12*t**3 - t**3 - 10*t - 14*t**2 + t**2. Calculate u*h(n) + 5*a(n).
-n**3 - 2*n**2 - n
Let t(l) = -l**3 + 2*l**2 + 2*l + 5. Let b(n) = 2*n + 5 - 3 - 3 - n**3 + 7 + 2*n**2. Determine -5*b(d) + 6*t(d).
-d**3 + 2*d**2 + 2*d
Suppose -14*i = -18*i - 36. Let r be -2 + 0 + -1 + 2. Let l be 0 + 4/(2 + r). Let a(u) = -7*u - 13. Let y(j) = -3*j - 6. What is i*y(t) + l*a(t)?
-t + 2
Let s(t) = -10*t**2 + 7*t. Let q(i) = 9*i**2 - 6*i. Give -7*q(j) - 6*s(j).
-3*j**2
Let s(k) = -k**2 + k. Suppose 6 = -l + 4*x, -2 - 7 = -3*x. Let j(i) be the first derivative of -2/3*i**3 + 3/2*i**2 - 1 - i. Determine l*s(a) - 2*j(a).
-2*a**2 + 2
Suppose -3 = -m + 4. Let y(a) = 4*a - 16. Let v(r) = -3*r + 11. Determine m*v(g) + 5*y(g).
-g - 3
Let u(i) = 13*i. Let y(n) = -25*n. Give -7*u(r) - 4*y(r).
9*r
Let p(s) = -s**2 + 1. Let a(i) = i**3 + 12*i**2 + 13*i + 20. Let x be a(-11). Let r(f) = 1. Give x*r(h) + 3*p(h).
-3*h**2 + 1
Suppose -50 = -5*j + k, j = 5*j + 5*k - 40. Let m(z) = 3*z**2 - 2. Let q(c) = -7*c**2 + 5. Determine j*m(x) + 4*q(x).
2*x**2
Let y(u) = -2*u**3 + 3. Let c(s) = -s**3 + 2. Suppose j - 4*f - 8 = 5*j, -2*j + 2*f + 12 = 0. Let m be 1 + j + -1 + 4. Give m*c(n) - 4*y(n).
2*n**3
Let v(o) = 2*o. Let d(p) = p. Give 2*d(u) - 2*v(u).
-2*u
Let f(q) = -276*q + 23. Let v(t) = 69*t - 6. Give 6*f(n) + 23*v(n).
-69*n
Let i(d) = 2*d**2 - 3*d - 3. Let m(z) = -25*z**2 + 40*z + 40. Suppose 6*p = 4 - 22. Give p*m(c) - 40*i(c).
-5*c**2
Let g(u) = -u - 1. Let l(c) be the first derivative of 2*c**3/3 - 2*c**2 - 4*c + 4. Give 4*g(j) - l(j).
-2*j**2
Let l(j) = -1. Let r(v) = 4*v + 4. Calculate -4*l(w) - r(w).
-4*w
Let x(p) = -3*p**3 - 2*p**2 + 3. Let n(f) be the second derivative of 4*f**5/5 + 11*f**4/12 + f**3/6 - 8*f**2 - 10*f. Give -2*n(j) - 11*x(j).
j**3 - 2*j - 1
Let l(j) = -23*j**3 + 2*j**2 + 6. Let o(r) = 45*r**3 - 4*r**2 - 11. Calculate -11*l(y) - 6*o(y).
-17*y**3 + 2*y**2
Let z(p) = p. Suppose -2*b + i - 1 = 0, 0 = 3*b + i - 0 - 1. Let r(f) = f - 11. Let o be r(b). Let m(y) = -6*y - 1. Calculate o*z(j) - 2*m(j).
j + 2
Let p(k) = -4*k + 4. Let m(r) = -4*r + 5. What is 4*m(c) - 5*p(c)?
4*c
Let z(x) = 7*x**2 + 0*x + 0*x + 4*x - 1. Let g(o) = -o**2 - o. Calculate -4*g(u) - z(u).
-3*u**2 + 1
Let z(f) = -2*f**2 + f. Let r = 11 + -10. Let v(h) = -h**2 + h. Determine r*z(k) - v(k).
-k**2
Let g(r) = 6*r**2 - 5*r. Let m(w) be the first derivative of w**3/3 - w**2/2 + 2. Give -g(o) + 5*m(o).
-o**2
Let z(p) = -97*p + 17. Let h(s) = -24*s + 4. What is -9*h(k) + 2*z(k)?
22*k - 2
Let z(a) = -a**3 + 3*a**2 - 2*a - 3. Suppose -5*o + 4*w = 35, -o = w - 4 + 2. Let r(g) = -2*g**2 + 2*g + 2. Let f = -1 - 1. Calculate f*z(b) + o*r(b).
2*b**3 - 2*b
Let w(a) = 6*a - 11. Let b(o) = 3*o - 6. Let f(x) = 7*b(x) - 3*w(x). Let g(k) = -k + 4. Calculate 4*f(z) + 9*g(z).
3*z
Let a = 12 + -15. Let c be 63/(-7) - 1*a. Let h(l) = -3*l**3 - 6*l**2 - 5*l - 6. Let i(z) = 9*z**3 + 17*z**2 + 14*z + 17. Determine c*i(m) - 17*h(m).
-3*m**3 + m
Let b(d) = -26*d - 1. Let t(q) = q. Give b(h) - 4*t(h).
-30*h - 1
Let p(z) = -6*z**3 - 5*z**2 - 5*z + 3. Let j(f) = -3*f**3 - 2*f**2 - 2*f + 1. Calculate -5*j(i) + 2*p(i).
3*i**3 + 1
Let d(b) = -4*b**2 + b - 1. Let g(n) = n**2 - n + 1. Determine d(i) + 2*g(i).
-2*i**2 - i + 1
Let k(s) = 6*s + 20. Let h(w) = 2*w + 7. What is -17*h(r) + 6*k(r)?
2*r + 1
Let o(u) = u + 14. Let m(d) = 7. Determine 5*m(c) - 2*o(c).
-2*c + 7
Let b(x) = -21*x**2. Let m(d) = d**2. Give -b(u) - 2*m(u).
19*u**2
Suppose i - 8 = 2*f, -2*i - 4*f - 10 = -2. Let o(k) = 3*k**2 + 4. Let z(j) = 13*j**2 + j + 17. Determine i*z(l) - 9*o(l).
-l**2 + 2*l - 2
Suppose 4*o + 3*g - 8*g = 