- 3. What is 3*x(c) + 7*y(c)?
-77*c
Let i(f) = f**3 - f**2. Let l(k) = -71*k**3 + 2*k**2. Give 2*i(o) + l(o).
-69*o**3
Let d(n) = -7*n - 2. Let v be (-102)/27*(-3)/(-4) - -3. Let z(c) be the second derivative of v*c**3 + 0*c**2 + 2*c + 0. Give d(g) + 6*z(g).
-g - 2
Let a be 2/4*(-20)/(-2). Let h(u) = u**2 - 8*u + 1. Let x(k) = k**2 - 15*k + 1. Let j(n) = 5*h(n) - 3*x(n). Let v(m) = 2*m**2 + 4*m + 2. Give a*v(d) - 4*j(d).
2*d**2 + 2
Let u(z) = -2*z + 1. Let s(k) be the first derivative of 2*k**2 - 2*k + 32. Determine -6*s(f) - 13*u(f).
2*f - 1
Let f(a) = -a + 1. Let k(o) = -7 - o**3 + 18 - 7*o - 6. Calculate -6*f(w) + k(w).
-w**3 - w - 1
Let j(p) = -6*p**3 - 7*p**2 + 7*p + 6. Let q(o) = o**3 + 8*o**3 - 4 - 4*o**3 + 6*o**2 - 6*o - 1. Give -6*j(d) - 7*q(d).
d**3 - 1
Let r(g) = 153*g - 34. Let f(c) = -22*c + 5. Determine -34*f(d) - 5*r(d).
-17*d
Let i(s) = -s - 1. Let p(a) = -2*a. Suppose -2*z + 3 = -5*z. Give z*p(k) + 3*i(k).
-k - 3
Suppose 3 = 5*m - 2. Let p(u) = 50 - u - 16 - 19 - 14. Let f(b) = 2*b**2 + b. Give m*p(j) + f(j).
2*j**2 + 1
Let u(l) = -26*l - 2*l**2 + 26*l - 3. Let z(p) = 4*p**2 + 7. Calculate 7*u(a) + 3*z(a).
-2*a**2
Let m(f) be the third derivative of -f**5/20 + f**4/8 + f**3/6 + 9*f**2. Let z(j) = j**2 - j. Calculate -2*m(k) - 7*z(k).
-k**2 + k - 2
Let m(u) be the second derivative of -7*u**4/12 + u**3 - 13*u. Let n(a) = 13*a**2 - 11*a. Calculate 11*m(t) + 6*n(t).
t**2
Let i(o) = 2*o**2 + 2. Let x(f) = -2*f**2 - 2. Let b(a) = 4*i(a) + 3*x(a). Let h(j) = -j**3 - 3*j**2 - 3. Give -3*b(u) - 2*h(u).
2*u**3
Let n(u) = 26*u - 5. Let q(x) = 77*x - 14. Determine 14*n(s) - 5*q(s).
-21*s
Let w = 4 - 0. Let m be 2/(-11) - (-1080)/(-110). Let g = 9 + m. Let k(b) = -b + 1. Let u(n) = -6*n + 5. Calculate g*u(c) + w*k(c).
2*c - 1
Let a be (4 - 40/15)*(-3)/2. Let m(t) = -3*t**3 - 3*t**2 - t + 2. Let k(v) = -v**3 - v**2 - v + 1. Give a*k(x) + m(x).
-x**3 - x**2 + x
Let d(o) be the second derivative of -o**4/4 - o**3/3 + 3*o**2/2 - 3*o. Let q(a) be the first derivative of d(a). Let l(f) = -f. What is 5*l(z) - q(z)?
z + 2
Suppose 2*h = -3*a + 2*a + 18, 0 = 5*h - a - 31. Let q(t) = 3*t + 1. Let i(z) = -6*z - 2. What is h*q(b) + 3*i(b)?
3*b + 1
Let q(i) = 3*i - 35 + 42 - 22. Let x be ((-1)/2)/((-2)/(-16)). Let t(c) = c - 4. Calculate x*q(n) + 15*t(n).
3*n
Let a(n) = 5*n**2 - 5. Let v(h) = 7*h**2 - 8. Let k be ((4 - 2) + -5)*24/9. What is k*a(j) + 5*v(j)?
-5*j**2
Suppose 3*o - 6*r + 5*r = 10, 3*o = 4*r + 4. Let b(k) = k. Let s(a) = 5*a. What is o*s(t) - 25*b(t)?
-5*t
Let l(g) = g. Let s(v) = v. Let i be 9/3 + -1 + 0. Let a = 20 + -5. Suppose 0 = -6*k + k - a. Determine i*s(z) + k*l(z).
-z
Let m = 10 - 10. Let u(i) be the second derivative of 1/4*i**4 + 5/2*i**2 + m - 1/3*i**3 - i. Let o(w) = 2*w**2 - 2*w + 4. Give 5*o(a) - 4*u(a).
-2*a**2 - 2*a
Let w(i) = 4*i - 16. Let d be w(3). Let t(m) = -9*m + 5. Let v(x) = 8*x - 4. Calculate d*t(u) - 5*v(u).
-4*u
Let s(z) = 5*z**2 - 7*z - 1. Let a(v) = -1 + 4*v**2 + 3*v - 20*v + 5*v + 6*v. What is -6*a(t) + 5*s(t)?
t**2 + t + 1
Let x(n) = -21*n**2 - 5. Let m(j) = 10*j**2 + 3. Calculate 10*m(y) + 6*x(y).
-26*y**2
Let r be ((-8)/(-10))/(22/(-110)). Let k(m) = -3*m**3 - 2*m**2 + 4*m. Let h(v) = 5*v**3 + 3*v**2 - 7*v. Give r*h(g) - 7*k(g).
g**3 + 2*g**2
Let f(m) = m**3. Let n(o) = 14*o**3 - 3*o. Give 6*f(c) - n(c).
-8*c**3 + 3*c
Let r(f) = -8*f**3 - 2*f**2 + 1. Suppose -36 = -12*w + 6*w. Let s be 3/3 + 10/(-1). Let z = s - -26. Let n(h) = 23*h**3 + 6*h**2 - 3. Calculate w*n(q) + z*r(q).
2*q**3 + 2*q**2 - 1
Let p = -23 + 19. Let f(g) = g. Let x(m) = 2*m - 1. Give p*f(w) + 3*x(w).
2*w - 3
Let b(v) = v**2 - 1. Let u(k) be the second derivative of 5*k**4/12 + k**3/2 - k**2/2 + 3*k. Determine -3*b(w) + u(w).
2*w**2 + 3*w + 2
Let z(l) = -l**3 - 10*l**2 - l - 9. Suppose 2*s = -2 + 6. Let r(g) = 8047*g - g**2 - 8047*g - 1. Give s*z(y) - 18*r(y).
-2*y**3 - 2*y**2 - 2*y
Let f(h) = -h**3 + h**2 + 8*h + 6. Let x(c) = c**2 + 9*c + 7. Give -7*f(q) + 6*x(q).
7*q**3 - q**2 - 2*q
Let u(c) = -2*c - 7. Let b(j) = 1. What is -2*b(z) + u(z)?
-2*z - 9
Let r(x) = -14*x - 7. Let c(s) = s. Let f(n) = 5*c(n) + r(n). Let p(g) = -10*g - 8. Determine -6*f(v) + 5*p(v).
4*v + 2
Let w(f) = f**2 - 3*f. Let y be 2*1*10/4. Let o(a) be the third derivative of -a**5/20 + 7*a**4/24 - 8*a**2 + 2. Determine y*w(p) + 2*o(p).
-p**2 - p
Let y = 8 - 3. Let h(v) = 26 - 10*v - 21 + 2*v. Let w(g) = -7*g + 4. Suppose -3*d - 12 = -d. What is d*w(q) + y*h(q)?
2*q + 1
Let n(f) = -3*f**3 + 5*f + 2. Let x(h) = 5*h + 9*h - 8*h**3 + 3 + 2. Suppose -2*a - 22 = -4*a. Determine a*n(q) - 4*x(q).
-q**3 - q + 2
Let x(b) = -b**2 - b + 1. Let g(m) = 11*m**2 + 22*m - 22. Calculate -g(r) - 22*x(r).
11*r**2
Let c = 85 + -89. Let y(u) = 2*u + 4. Let r(j) = j + 3. Suppose -4*s = 5*v - 46, -4*v - 2*s = -39 + 7. What is c*y(n) + v*r(n)?
-2*n + 2
Let s(z) = 4*z**2 + 7*z - 4. Let g(f) = -f - 1. Let o(j) = -9*j**2 - 10*j + 14. Let n(l) = -5*g(l) - o(l). Give -6*n(i) + 13*s(i).
-2*i**2 + i + 2
Let v(d) = d**2 - 3*d - 6. Let u(f) = 3*f**2 - 7*f - 13. What is 4*u(i) - 9*v(i)?
3*i**2 - i + 2
Let k(z) = 4*z**2 + 2*z + 1. Let a(o) = o + 3*o + 3*o**2 + 2 + 4*o**2. Determine 3*a(u) - 5*k(u).
u**2 + 2*u + 1
Let x be (-8)/(-3) + 9/(27/4). Let k(f) = 2*f**2 - 5. Suppose -15 = -3*o - 0. Let c(h) be the first derivative of -2*h**3/3 + 4*h + 1. Give o*c(y) + x*k(y).
-2*y**2
Let w(y) = -22*y**2 - y - 4. Let z(a) = 23*a**2 + a + 5. Calculate 5*w(b) + 4*z(b).
-18*b**2 - b
Let b(x) = -7*x - 2. Let w(g) be the second derivative of -4*g**3/3 - g**2 - 16*g. Determine 5*b(o) - 4*w(o).
-3*o - 2
Let c(r) = r + 1. Let x(u) = -4*u - 3. What is 6*c(d) + 2*x(d)?
-2*d
Let x(i) = -i**3 - i**2 - i - 3. Let d(w) be the first derivative of -w**4/4 - 2*w**3/3 - w**2 - 5*w + 26. What is 3*d(j) - 5*x(j)?
2*j**3 - j**2 - j
Let l(c) = 4*c**2 - 2*c. Let t = -26 - -20. Suppose 0 = u + f + 7, 2*u - 2*f = -0*u + 6. Let x(z) = -z**2 + z. Calculate t*x(k) + u*l(k).
-2*k**2 - 2*k
Let l(b) = -b**3 - b**2 - b - 1. Let i(t) = -12*t**3 - 12*t**2 - 12*t - 10. Let w(x) = -7*x + 41. Let m be w(6). Give m*i(o) + 10*l(o).
2*o**3 + 2*o**2 + 2*o
Let c(f) = 2*f. Let m(a) = -31*a - 2. Give 6*c(v) + m(v).
-19*v - 2
Let a(v) = v**3 - 3*v**2 + 40*v - 3. Let o(l) = -2*l**3 + 8*l**2 - 119*l + 8. Give -8*a(y) - 3*o(y).
-2*y**3 + 37*y
Let g(w) = w**2 - 4. Let t(b) be the third derivative of -b**6/720 + b**5/30 - 4*b**2. Let a(x) be the third derivative of t(x). Calculate 2*a(d) - g(d).
-d**2 + 2
Let x(m) = 3*m**2 - 4*m. Let o(v) = -19*v**2 + 28*v + 7. Let u(b) = -10*b**2 + 15*b + 4. Let l(f) = 3*o(f) - 5*u(f). What is 2*l(d) + 5*x(d)?
d**2 - 2*d + 2
Let h(z) = 4*z**2 - 3*z + 7. Let p(o) = o**2 - o + 2. Determine -6*h(r) + 22*p(r).
-2*r**2 - 4*r + 2
Let j(l) = 2*l + 4. Let o(g) = -2 + 0 + 2 - 1. Let u(t) be the first derivative of -t**4/4 + t**3 - t - 2. Let r be u(3). Determine r*j(q) - 4*o(q).
-2*q
Let g(a) = -21*a + 3. Let o(c) = 31*c - 4. Determine -7*g(k) - 5*o(k).
-8*k - 1
Let i(r) be the third derivative of -r**4/24 + r**3/2 - 2*r**2. Let j(w) = 2*w - 4. Suppose 5*p = -0*p - 20. Determine p*j(m) - 6*i(m).
-2*m - 2
Let i(u) be the second derivative of -u**2/2 - 17*u. Let d(a) = 2*a**2 + 2*a - 6. What is -d(g) + 8*i(g)?
-2*g**2 - 2*g - 2
Let f(r) = 3. Suppose -5*o = 4*z + 6, 2*o + 3*z = -2*o - 4. Let a(s) be the second derivative of -s**3/6 + 2*s**2 + s. Calculate o*a(n) - 3*f(n).
-2*n - 1
Let z(n) = -7*n**3 - 5*n**2 - 3*n + 4. Let t(u) = -u**3 - u**2 + 1. Give 4*t(c) - z(c).
3*c**3 + c**2 + 3*c
Let m(g) = g**2 + g. Let h(a) = 11*a - 4 + 1 + 12*a**2 + 1. Determine -2*h(f) + 22*m(f).
-2*f**2 + 4
Let l = 33 - 28. Let n(r) = 2*r - 3. Let i(m) = 3*m - 5. Give l*n(c) - 3*i(c).
c
Let u(r) = -5*r - 4. Let t(w) = -6 - 4 - 4*w + 7. Suppose 0 = -2*b + 3*b - 4. Suppose 3*g + 8 + b = 0. Give g*t(p) + 3*u(p).
p
Let v(y) = -1. Let b(k) = -33*k - 6. Calculate b(l) - 5*v(l).
-33*l - 1
Let n(g) = g**3 - 2*g**2 + 2*g - 1. Let q be 4*(-2 - 0)/8. Let b(w) be the second derivative of -w**4/12 + w**3/6 - w**2/2 + 2*w. Give q*n(z) + 2*b(z).
-z**3 - 1
Let v(q) = -3*q + 7. Let g(h) = -h + 4. Determine -11*g(r) + 6*v(r).
-7*r - 2
Let n(y) = 8*y. Let f(b) = -23*b. Let h(r) be the first derivative of 23*r**2/2 + 1. Let l(v) = -5*f(v) - 6*h(v). Give -6*l(t) - 17*n(t).
2