p**3 - 2*p**2 + 1
Let y(h) be the third derivative of h**4/6 - 13*h**3/6 + 51*h**2 - 2*h. Let p(t) = t - 3. Determine 9*p(m) - 2*y(m).
m - 1
Let h(u) = -7*u - 40. Let n(p) = 3*p + 21. Give 2*h(q) + 5*n(q).
q + 25
Let k(a) = -107*a**3 + 3*a**2 - 85*a + 109*a**3 + 88*a. Let m(g) = 4*g**3 + 5*g**2 + 5*g. Let n be 1*(1 + -6)*-1. What is n*k(c) - 3*m(c)?
-2*c**3
Let h(l) be the third derivative of -l**4/24 - 7*l**2 - l + 50. Let a(z) = -10*z + 4 - 4. Give -a(n) + 5*h(n).
5*n
Let s(c) = -175*c**3 + 5*c + 12. Let q(y) = 175*y**3 - 4*y - 10. Calculate 6*q(f) + 5*s(f).
175*f**3 + f
Suppose 5*s - 20 + 0 = 0. Suppose 0 = s*p + 2*p + 30. Let z(f) = 2*f**2 + 6*f - 2. Let r(u) = -2*u**2 - 7*u + 3. Calculate p*z(a) - 4*r(a).
-2*a**2 - 2*a - 2
Let p(o) = 87. Let u(z) = -z + 178. Give 7*p(t) - 3*u(t).
3*t + 75
Let p = -1 - 3. Let a(q) = 21*q + 9. Let w(y) = -4*y - 1. Let b(g) = a(g) + 4*w(g). Let z(k) = -9*k - 9. Determine p*z(f) - 7*b(f).
f + 1
Let b(f) = 4*f + 7*f - 3 + 1. Let s = -64 - -98. Let x = s + -30. Let y(i) = 5*i - 1. Determine x*b(z) - 9*y(z).
-z + 1
Let z(n) = -113*n**2 - 14*n - 12. Let g(l) = -28*l**2 - 3*l - 3. Calculate 9*g(t) - 2*z(t).
-26*t**2 + t - 3
Let r(o) be the first derivative of -47*o**2/2 + 17*o - 133. Let k(u) = -16*u + 6. Determine -17*k(w) + 6*r(w).
-10*w
Let o(h) = 5*h**3 + 8*h**2 + 8*h - 16. Let r(q) = 14*q**3 + 23*q**2 + 23*q - 48. Give -17*o(p) + 6*r(p).
-p**3 + 2*p**2 + 2*p - 16
Let c(i) = 2*i + 0*i - 3*i + i**3 + 1. Let j(m) = -m**2 + 2*m - 6. Let p(b) = -b**3 + b**2 - b + 6. Let w(t) = -5*j(t) - 4*p(t). What is -6*c(g) + w(g)?
-2*g**3 + g**2
Let o(g) = 19*g - 1. Let f(c) = -23*c + 2. Let d(s) = 5*f(s) + 6*o(s). Let a(q) = -4*q + 12. Determine -3*a(b) + 10*d(b).
2*b + 4
Let j(k) = k**2 + k. Let d(w) = 3*w**2 - 9*w. Determine d(y) + 2*j(y).
5*y**2 - 7*y
Let n(k) = -k**2 - 1. Let b = 181 - 173. Suppose -15*u + b = -11*u. Let q(o) = 3*o**3 - 5*o**3 - o**2 + 1 - 3. What is u*n(f) - q(f)?
2*f**3 - f**2
Let u(h) = 12*h - 35. Let l(d) = -4*d + 14. What is -11*l(g) - 4*u(g)?
-4*g - 14
Let s(z) = -13*z - 11. Let l(a) = 7*a + 4. Let q(m) = 5*l(m) + 3*s(m). Let t(o) = 2*o + 7. What is -3*q(g) - 5*t(g)?
2*g + 4
Let l(x) = -x**2 - x - 3. Let c = -1 - -12. Let r = -9 + c. Let k(p) = -p + r*p + 8 + 2*p**2 + 2*p - 1. What is -3*k(v) - 7*l(v)?
v**2 - 2*v
Let z(m) = -2*m + 5. Let q(b) = 4*b - 16 - 3*b - 20 + 34. Calculate 15*q(x) + 6*z(x).
3*x
Let o(p) = 21*p**2 + 2*p - 2. Let r(x) = -3738*x**2 - 357*x + 357. Calculate -1071*o(l) - 6*r(l).
-63*l**2
Suppose 56 = j + 16. Let p = j - 34. Let d(c) = -5*c**2 - 5*c + 8. Let a = 3 - 16. Let m(o) = -11*o**2 - 11*o + 17. Calculate a*d(b) + p*m(b).
-b**2 - b - 2
Let w(a) be the second derivative of -3*a**5/10 + a**4/4 - a**3/2 + 3*a**2/2 + 5*a - 30. Let f(g) = -g**3 + g**2 - g + 1. Give 6*f(n) - 2*w(n).
6*n**3
Let k(d) = d**2 + d - 1. Let i = -430 - -431. Let j(v) = -2*v**3 - 5*v**2 - 5*v + 6. Suppose -6*o - 10 = -2*y - o, -10 = -2*y - 5*o. Give i*j(q) + y*k(q).
-2*q**3 + 1
Suppose -l = -k - 7, 4*k + 16 = 2*k + 3*l. Let f(g) = -6*g - 7. Let o(y) = y + 1. Suppose -6 + 3 = -a. Suppose a*r = -0*r - 3. What is k*o(p) + r*f(p)?
p + 2
Let k(w) = 99*w. Let c(u) = -18*u. Let t(o) = 27*c(o) + 5*k(o). Let d(a) = -8*a. Let m be -3 + (1 + 3)/(-1). Determine m*d(p) - 6*t(p).
2*p
Let i(d) = 47*d**2 + 8*d - 29. Let j(m) = -31*m**2 - 5*m + 19. Determine -5*i(r) - 8*j(r).
13*r**2 - 7
Let r(a) = 10*a**3 + 3*a**2 + 36*a. Let w(x) = x**3 - x**2 - 4*x. Determine -r(y) - 3*w(y).
-13*y**3 - 24*y
Let j(i) = -2*i - 1 - i + 0 + 2. Let g(z) = -4*z + 1. Suppose 4*h + 16 = -0*h. Determine h*g(n) + 5*j(n).
n + 1
Let b be 39/9 + -5 - (-28)/(-21). Let g(m) = 2*m**2 + m - 5. Let u(j) = 2*j**2 - 4. Calculate b*g(c) + 3*u(c).
2*c**2 - 2*c - 2
Let g(n) = 1. Let v(i) = 3*i + 31. Give 6*g(x) - v(x).
-3*x - 25
Let k(d) = -13*d**2 + 53*d. Let b(n) = -7*n**2 + 29*n. Let p(j) = 11*b(j) - 6*k(j). Let t(s) = -10*s**2 - s. Determine 2*p(w) + t(w).
-8*w**2 + w
Let y(n) = 3*n**3 + 31*n**2. Let g(w) = -8*w**3 - 92*w**2. Calculate -4*g(p) - 11*y(p).
-p**3 + 27*p**2
Let i(f) = f**3 - 3*f**2 - 3*f + 10. Let c(x) = -x**3 + 3*x**2 + 3*x - 12. Calculate -4*c(r) - 5*i(r).
-r**3 + 3*r**2 + 3*r - 2
Let f(h) = 8*h**3 - h**2 - 8*h + 2. Let z(c) = -23*c**3 + 3*c**2 + 23*c - 7. What is 17*f(d) + 6*z(d)?
-2*d**3 + d**2 + 2*d - 8
Let o = 17 - 13. Let s(y) = 7*y + 57. Let k be s(-12). Let h(b) = 7*b. Let i(j) = 48*j. Determine k*h(c) + o*i(c).
3*c
Let y = -1599 - -1609. Let s(z) = -z + 2*z - 1 - 2*z. Let h(q) = -q**2 + 6*q + 5. Calculate y*s(f) + 2*h(f).
-2*f**2 + 2*f
Let m(r) = -1. Let d be ((-2)/(-3))/((-204)/306). Let b(u) = 7*u + 2. Calculate d*b(w) - 2*m(w).
-7*w
Let m(l) = -6*l - 4. Let v(u) = -1 - 1 + 5*u - 1 - 10*u. Give -3*m(k) + 4*v(k).
-2*k
Let r(f) = -545*f - 30. Let y(h) = 4905*h + 275. Calculate 55*r(k) + 6*y(k).
-545*k
Let y(v) = -771*v**2 + 22*v - 22. Let k(a) = 257*a**2 - 8*a + 8. Calculate 11*k(f) + 4*y(f).
-257*f**2
Let g(v) = -v**2 - v. Let d(p) = 2*p**2 + 3*p - 1. What is -3*d(n) - 8*g(n)?
2*n**2 - n + 3
Let q(j) = -5*j + 1609. Let f(t) = 2*t - 533. Calculate -8*f(x) - 3*q(x).
-x - 563
Let a(p) be the second derivative of p**3/6 - p**2/2 - p. Let x(o) = -8*o - 32 + 16 + 5 + o + 14. Give 5*a(r) + x(r).
-2*r - 2
Let l(f) = 7*f - 21. Let m(s) = -19*s + 57. Give -17*l(p) - 6*m(p).
-5*p + 15
Let x(i) = -46*i**3 - 7*i**2 + 2*i + 2. Let q(h) = 22*h**3 + 3*h**2 - h. Determine 5*q(f) + 2*x(f).
18*f**3 + f**2 - f + 4
Let i(p) = 3*p + 1. Let b(x) = 4*x + 1. Let f = -8 - -6. Let y be ((-369)/36 - -10) + (-39)/(-12). Give f*b(h) + y*i(h).
h + 1
Let p(g) = -10*g**2 - 25. Suppose 5*n = 3*k + 122, -8*n = -9*n + 3*k + 22. Let l(f) = -1. Calculate n*l(c) - p(c).
10*c**2
Let q(d) = 139*d. Let r(x) = 138*x. Determine -4*q(y) + 5*r(y).
134*y
Suppose -3*i - 39 = -0*i - 5*r, 0 = i - 5*r + 3. Let f(s) = -7*s + 4. Let v(k) = 2*k - 1. What is i*v(a) - 4*f(a)?
-8*a + 2
Suppose h + 3*h = 16. Let a(r) = 23*r**3 - 11*r**3 - 14 - 15*r**3 + 21 - 5*r. Let s(k) = -2*k**3 - 4*k + 6. What is h*a(w) - 5*s(w)?
-2*w**3 - 2
Let o(g) = 12*g - 2. Let w(f) = 24*f - 3. Give 7*o(k) - 3*w(k).
12*k - 5
Let w(s) = 5*s**2 + 3*s - 3. Let x(y) = -9*y**2 - 6*y + 5. Suppose -4*t = -5*c, 4*c + 3*t + 41 = -2*t. Determine c*x(q) - 7*w(q).
q**2 + 3*q + 1
Let g(x) = -11*x**2 + 56*x + 5. Let o(z) = 7*z**2 - 37*z - 3. Give 5*g(n) + 8*o(n).
n**2 - 16*n + 1
Let x(n) = -799*n**2 - 153. Let j(s) = 21*s**2 - s + 3. Let r(g) = -g - 1. Let y(c) = -j(c) + r(c). Give 4*x(l) - 153*y(l).
17*l**2
Let d(z) = -z - 5. Let s(p) = -p + 5. What is -5*d(r) - 4*s(r)?
9*r + 5
Let w(u) = -1. Suppose -2*a - a + 3 = 0. Let g(v) = 19 + v + 6 - 20. What is a*g(j) + 5*w(j)?
j
Let d(p) = 58*p**3 + 7*p**2 - 5*p + 15. Let b(k) = -39*k**3 - 5*k**2 + 3*k - 11. Determine -7*b(w) - 5*d(w).
-17*w**3 + 4*w + 2
Let a(n) = 16*n + 1. Let g(c) = -33*c - 1. Let w(z) = -5*a(z) - 2*g(z). Let x(h) = 7*h + 2. Determine 3*w(f) + 5*x(f).
-7*f + 1
Let i(k) = k**3 + 13*k**2 - 13*k + 15. Let r = -2812 - -2806. Let s(v) = -6*v**2 + 6*v - 7. Give r*i(c) - 13*s(c).
-6*c**3 + 1
Let f(s) = -16*s**2 - 18*s + 12. Let x(d) = 15*d**2 + 15*d - 10. Let n(u) = 6*f(u) + 7*x(u). Let r(m) = -5*m**2 + 2*m - 1. What is -3*n(t) - 5*r(t)?
-2*t**2 - t - 1
Let y(r) be the second derivative of -3*r**5/10 + r**4/2 - r**3 - 70*r. Let x(w) = -w**2 + w. What is -6*x(d) - y(d)?
6*d**3
Let u(r) = -195*r**2 - 3*r - 3. Let b(l) = l + 1. Determine 3*b(c) + u(c).
-195*c**2
Let g(j) = -6*j**2 + j + 2. Let b(d) be the second derivative of d**4/12 + 7*d + 5. Give -5*b(a) - g(a).
a**2 - a - 2
Let u(g) = 5*g**3 + 4. Let k(b) = -16*b**3 - 11. Suppose 29 = 3*d + 4*f, -4*d + 37*f = 36*f - 45. Determine d*u(t) + 4*k(t).
-9*t**3
Let h(g) = 57*g + 15. Let r(i) = -2366*i - 624. Calculate 208*h(t) + 5*r(t).
26*t
Let h(a) = -a - 1. Let z(b) = -6*b + 28. Let r be z(4). Let k(v) = 4*v - 2 - 7*v - 6 - r*v. Calculate -24*h(w) + 3*k(w).
3*w
Let q(r) = -4*r**2 + 3*r - 7. Let l(p) = p**2 + 2*p - 3. Let o(z) = 2*z**2 + z - 1. Let b(d) = l(d) - o(d). Calculate -7*b(v) + 2*q(v).
-v**2 - v
Let t(q) = 7*q**2. Let i(f) = 30*f**2 + 32*f - 11. Give -i(w) + 4*t(w).
-2*w**2 - 32*w + 11
Let p(b) = -14*b**3 - 18. Let n(m) = m**3 + m**2 + 2*m - 1. Let t(w) = -3*w**3 - 2*w**2 - 4*w + 1. Let o(f) = -2*n(f) - t(f)