8. Determine 5*h(d) - 4*m(d).
-3*d - 2
Let l(k) = -2*k**3 + k + 3. Let r(o) be the third derivative of -o**3/6 - 89*o**2. What is -l(g) - 3*r(g)?
2*g**3 - g
Let z(y) = 4*y - 7*y + 4 - 3*y + 0*y. Let k be ((2 - 2) + -2)*2. Let a(v) = 2 - 17*v + 9 + 0. What is k*a(g) + 11*z(g)?
2*g
Let l(s) = 6*s**2 + 21*s - 1. Let d(j) = 8*j**2 + 20*j - 2. Determine -2*d(f) + 3*l(f).
2*f**2 + 23*f + 1
Let x(p) = 4*p + 3. Let m(a) be the first derivative of 2*a**2 + 2*a + 522. Determine -4*m(r) + 3*x(r).
-4*r + 1
Let y(n) = n. Let h(c) = -3*c**2 + 41*c - 2. Give h(w) + 6*y(w).
-3*w**2 + 47*w - 2
Let p(l) = -3*l**2 - 1. Let g(a) = -2*a**3 - 18*a**2 - 148. Calculate -g(c) + 6*p(c).
2*c**3 + 142
Let m(d) = -d**3 + 4*d**2 + 5*d - 5. Let l = -899 + 894. Let t(k) = -2*k**2 - 2*k + 2. Determine l*t(y) - 2*m(y).
2*y**3 + 2*y**2
Let c = 189 - 164. Suppose 0 = 2*m - 3 + 7. Let l(u) = 35*u**3 - 25*u**2 - 25. Let o(r) = 3*r**3 - 2*r**2 - 2. Give c*o(p) + m*l(p).
5*p**3
Let j(b) = -2*b - 2. Let d(z) = -z**3 - 34*z**2 + 153*z + 14. Let k be d(-38). Let o(x) = 9*x + 9. Calculate k*j(s) - 5*o(s).
3*s + 3
Let y(q) = 20*q - 23. Let v = -24 - -8. Let o = v + 22. Let a(r) = 7*r - 8. What is o*y(f) - 17*a(f)?
f - 2
Let p(i) = -23*i + 977. Let j(f) = -10*f + 489. Determine -9*j(y) + 4*p(y).
-2*y - 493
Let d(a) = 0*a**2 - 4*a**2 - 46 + 23 + 25. Suppose -4 = -3*s + 2*k, 2*s = -0*s + 5*k - 1. Let q(m) = s + m**2 + 2 - 10*m**2. Calculate -5*d(p) + 2*q(p).
2*p**2 - 2
Let w(u) = 2*u + 9. Suppose -o = -4*j + 2*j + 8, -o - 4*j = 2. Let g(b) = -2*b - 10. What is o*g(p) - 7*w(p)?
-2*p - 3
Let g = 24 - 21. Let p(h) = g*h + 4*h + 9*h - 9*h - 3*h**2 + 15. Let r(q) = -q**2 + 3*q + 7. What is 3*p(z) - 7*r(z)?
-2*z**2 - 4
Let z(i) = 416*i**3 - 10*i**2 + 6*i - 16. Let c(q) = q**2 - q + 2. Calculate 8*c(j) + z(j).
416*j**3 - 2*j**2 - 2*j
Suppose -13*m = -15*m - 5*s + 7, -2*m - 2 = 2*s. Let p(y) = 9*y**3. Let o(x) = 8*x**3. What is m*p(j) + 5*o(j)?
4*j**3
Let r(g) = 35 - 2*g**2 - 35 - 9*g + 7*g**2. Suppose -5*j = -j - 8. Let k(s) = 3*s**2 - 10*s - 4*s + 12*s - 2*s**j. Calculate 9*k(t) - 2*r(t).
-t**2
Let m(g) = -176*g + 10. Let f(l) = -351*l + 18. What is 3*f(i) - 5*m(i)?
-173*i + 4
Let f(n) = -n**2 + n - 1. Let j(p) = -10*p**2 + 12*p - 22. Determine -12*f(o) + j(o).
2*o**2 - 10
Let k(o) = o**2 + 2*o - 1. Let q(v) = v**2 + 10*v + 9. Let y be q(-9). Let c be k(y). Let z(n) = n. Let g(u) = -2*u. Calculate c*g(x) - 6*z(x).
-4*x
Let j(l) = 2*l - 2. Let p(y) = -303*y - 2. Give -2*j(z) + p(z).
-307*z + 2
Let c(u) = -1474*u**3 - 16*u**2 - 8. Let x(z) = 492*z**3 + 6*z**2 + 3. What is 3*c(s) + 8*x(s)?
-486*s**3
Let g be -8 - -1 - (-8 + 1 - 6). Let l(t) = -5*t**2 - 6. Let y(w) = 1 + 0 + 6 + 6*w**2. What is g*y(s) + 7*l(s)?
s**2
Suppose 6 = -3*q + 5*q. Let g(y) = 13*y**2 + 105*y + 12. Let o be g(-8). Let u(w) = 9*w - 5. Let i(d) = -8*d + 4. What is o*i(z) + q*u(z)?
-5*z + 1
Let h(m) = -6*m + 8. Let v(o) = 7 + 11*o - 40*o + 24*o. Let s(r) = r**2 + 11*r - 5. Let u be s(-12). Calculate u*v(t) - 6*h(t).
t + 1
Let w(j) = 7*j. Let v(f) = -2*f**2 - 54*f - 57. Let l be v(-26). Let x(k) = -10*k. What is l*x(z) - 7*w(z)?
z
Let i(s) = 57*s**2 + 2. Let o(v) = -58*v**2 - 2. Calculate -3*i(a) - 2*o(a).
-55*a**2 - 2
Let g = 781 + -775. Let n(v) = 7*v**2 + 5*v + 7. Let y(w) = -8*w**2 - 6*w - 6. Give g*n(p) + 5*y(p).
2*p**2 + 12
Let o(b) = -b + 1. Let w be 1*2/(4/2). Let x(k) = 7*k + 39. Let a be x(-5). Let t(h) = 5*h - 1. Determine a*o(v) + w*t(v).
v + 3
Let x(s) = -s**2 + 2*s - 1. Suppose -7*o + 4 = -3*o. Let d be x(o). Let q(l) = l - l + l + d. Let h(i) = -3*i - 1. Give 2*h(v) + 5*q(v).
-v - 2
Let b(s) = -6*s - 684. Let h(m) = m + 137. Calculate 2*b(t) + 11*h(t).
-t + 139
Let s(f) = -f. Let c = -465 + 466. Let u(o) = -12*o. Calculate c*u(z) - 20*s(z).
8*z
Let h(k) be the third derivative of 3*k**6/40 - 2*k**5/15 - 21*k**2. Let u(c) = -26*c**3 + 23*c**2. Determine 17*h(n) + 6*u(n).
-3*n**3 + 2*n**2
Let h(f) = 19 - 8 + f - 2*f + 12*f + 6*f. Let b(k) be the first derivative of -2*k + 3 - 5 - 2*k - 3*k**2. What is 8*b(a) + 3*h(a)?
3*a + 1
Let j(s) = s + 1. Let x(q) = -6*q - 7. Let r(w) be the second derivative of -w**3/6 - 4*w**2 - 4*w. Suppose -m + 8 = 17. Let d be r(m). What is d*x(l) + 5*j(l)?
-l - 2
Let n be 6/8*(-7 - 117/(-27)). Let m(k) = -21*k - 4. Let h(f) = 10*f + 2. What is n*m(p) - 5*h(p)?
-8*p - 2
Let z(a) = 257*a**3 + 5. Let n(s) = 13493*s**3 + 262. Give 5*n(i) - 262*z(i).
131*i**3
Let p(k) = -9*k + 30. Let o(q) = q + 2. Give 6*o(s) + p(s).
-3*s + 42
Let z(n) = -202*n + 2. Let q(l) = 72718*l - 721. Determine -2*q(p) - 721*z(p).
206*p
Let j(q) = 7*q**3 - 11*q**2 - 12*q - 4. Let x(a) = 6*a**3 - 12*a**2 - 9*a - 3. Determine -3*j(v) + 4*x(v).
3*v**3 - 15*v**2
Suppose -22*r + 33 = -33*r. Let a(f) = -2*f**3 - f**2 - 2*f - 3. Let g(m) = -m**3 - 2*m**2 - 2*m - 2. Give r*g(p) + 2*a(p).
-p**3 + 4*p**2 + 2*p
Let p(w) = -w**3 - w**2 + w. Let z(l) = 20*l**3 + 25*l**2 - 25*l. Suppose 0 = -3*h + 2 + 1. Suppose -3*x = -5*b - 50, 710 = x - 2*b + 695. Give h*z(i) + x*p(i).
-5*i**3
Let x(r) = -4*r**2 + 10*r - 9. Let c(i) = -5*i**2 + 11*i - 11. Let t(f) = -6*c(f) + 7*x(f). Let s(v) = v**2 + v + 1. Calculate -4*s(h) + t(h).
-2*h**2 - 1
Let c(k) = -8*k**3 - 5*k**2 - 4. Let n = -52 + 55. Let t(i) = i**2 + i**2 + i**3 + n*i**2 + 1 - 4*i**2. Determine c(m) + 5*t(m).
-3*m**3 + 1
Let v(n) = -9*n**2 - 3*n - 5. Let k(l) be the third derivative of -l**5/15 - l**4/24 - l**3/3 - 15*l**2 + 4. Calculate -5*k(s) + 2*v(s).
2*s**2 - s
Let p(d) = d**2 + 8*d**3 - 7*d + d**2 - d**2. Suppose 0 = 7*m - 8*m - 6. Let a(c) = 7*c**3 + c**2 - 6*c. What is m*p(b) + 7*a(b)?
b**3 + b**2
Let p(s) = 3*s - 15. Let v(o) = -o + 7. Let t be ((-3)/2)/(3/(-6)). Let k(i) = 6*i**2 - i. Let m be k(-1). Determine m*v(n) + t*p(n).
2*n + 4
Suppose 170 = m + 165. Let g(i) = 4. Let n(x) = -x - 5. Calculate m*g(j) + 4*n(j).
-4*j
Let f(i) = 2*i - 11. Let x(k) = 1. Let l be (-1309)/119*1/(2/4). Give l*x(o) - 2*f(o).
-4*o
Suppose -4*l + 144 = -76*l. Let b(z) = -10*z**3 + 5*z**2 - 5. Let i(m) = 5*m**3 - 2*m**2 + 2. What is l*b(y) - 5*i(y)?
-5*y**3
Suppose 5*i + 3 = 38. Let p(l) be the third derivative of 2*l**4/3 - 5*l**3/3 + 496*l**2. Let t(x) = -11*x + 7. Let m be 5*(0 + 2)/2. Determine i*t(n) + m*p(n).
3*n - 1
Let o(y) = -9*y + 12. Let s(x) = 3*x - 4. Suppose 10*v - 7*v = 2*t + 14, t + 21 = 5*v. Determine v*o(l) + 11*s(l).
-3*l + 4
Let z(h) = -h**2 - 6*h + 20. Let y = 111 - 119. Let k be z(y). Let f(p) = 14*p + 11. Let r(m) = 5*m + 4. What is k*f(o) - 11*r(o)?
o
Let o(c) = 13*c + 17. Let p(k) = 12*k + 14. Let b(u) = -3*o(u) + 4*p(u). Let f(w) = -5*w - 3. Give -6*b(l) - 11*f(l).
l + 3
Let k(w) = -2*w**2 - w - w - 101 + 104. Let o be ((-8)/6)/(1/3). Suppose -2*q + 39 = 45. Let i(j) = 3*j**2 + 2*j - 4. Give o*k(y) + q*i(y).
-y**2 + 2*y
Let n(t) be the second derivative of 3*t**3/2 + t**2 - 4*t + 18. Let r(l) = -8*l - 2. Let q = -9 + 2. Give q*r(m) - 6*n(m).
2*m + 2
Let h(m) = 63*m - 2. Let w(c) = -65*c + 2. Give -4*h(u) - 3*w(u).
-57*u + 2
Suppose 10 + 2 = y - 5*r, 4*y + 4*r = 0. Let h(g) = y*g - 2*g + g. Let z(o) = -5 - 4 + 10*o + 12 - 2 - 2. Determine 22*h(q) - 2*z(q).
2*q + 2
Let j(q) = q + 5. Let s(w) = -7*w - 13. Let v(f) = 3*j(f) + s(f). Let c(l) = 2*l - 1. What is -7*c(t) - 4*v(t)?
2*t - 1
Let s(d) = 4*d + 17. Let a(g) = -13*g - 51. Calculate -2*a(m) - 7*s(m).
-2*m - 17
Let l(p) = p**3 - p**2. Let t(n) = 3*n**3 - 2*n**2 - n. Suppose -x + 1 - 16 = 0. Let w(d) = d + 13. Let i be w(0). Let o = x + i. What is o*l(u) + t(u)?
u**3 - u
Let c(a) = -11*a**2 - 5*a + 11. Suppose -2*z - 3 = 2*b + 7, 3*b + 15 = -2*z. Let i(u) = 7*u**2 + 3*u - 7. Give b*c(j) - 8*i(j).
-j**2 + j + 1
Let f(a) = -a**3 - 8*a**2 - 4*a - 4. Let b(m) be the first derivative of -m**4/4 - 8*m**3/3 - 3*m**2/2 - 3*m + 148. What is -4*b(d) + 3*f(d)?
d**3 + 8*d**2
Suppose -d = 5*p + 12, -4 + 10 = p - 4*d. Let z(j) be the second derivative of j**4/6 + j**3/6 + j**2 - j - 11. Let l(r) = r**2 + 2. What is p*z(b) + 3*l(b)?
-b**2 - 2*b + 2
Let d(u) = 5*u. Let b be (28/35)/(28/(-70)). Suppose 4*x - 3*x = 10. Let c be x - 2*(-2)/(-4). Let z(h) = 21*h. Determine b*z(t) + c*d(t).
3*t
Let j(a) = -5*a**2 + 7*a + 12. Let d(c) = -3*c**2 + 4*c + 5. Let i(q) = -5*d(q) + 2*j(q). Let g(z) = 9*z**2 - 11*z - 1. Determine 4*g(p) - 7*i(p).