(j) = 3*j**2 + 4*j + 7. Let w = -8 + 12. Let v(b) be the third derivative of -b**5/12 - 7*b**4/24 - 13*b**3/6 - 2*b**2 - 6. Determine w*v(o) + 7*n(o).
o**2 - 3
Let p(c) = -2 - 6 - 2*c - c + 4*c. Let w(v) = v - 7. Determine 4*p(j) - 5*w(j).
-j + 3
Let i(h) = -17*h**3 - 10. Let l(x) = -83*x**3 - 51. Calculate 11*i(b) - 2*l(b).
-21*b**3 - 8
Let d be (-1)/(2/(-4)*-1). Let h(f) = -5*f**3 + 2*f**2 + 2*f + 2. Suppose -2*l + 1 = 23. Let k(r) = 26*r**3 - 10*r**2 - 11*r - 10. Give d*k(c) + l*h(c).
3*c**3 - 2*c**2 - 2
Let z(y) = y**2 - y - 1. Let b(g) = -g**3 + g**2 - 5*g - 1. Let u(a) = b(a) - 3*z(a). Let r(n) = -n**2 - n + 1. Determine 2*r(p) - u(p).
p**3
Let z(u) = 4*u**3 - u**2 + 3*u + 6. Let w(v) = -3*v**3 + v**2 - 3*v - 4. What is -3*w(n) - 2*z(n)?
n**3 - n**2 + 3*n
Let i(d) = 14*d**2. Let a(r) = -77*r**2. Let u(q) = 8*q**2 - q - 6. Let o be u(-2). Give o*i(x) + 5*a(x).
7*x**2
Let z(f) = 87*f**3 + 6*f**2 - 5*f. Let l(a) = 43*a**3 + 3*a**2 - 2*a. Calculate 5*l(n) - 2*z(n).
41*n**3 + 3*n**2
Let s(m) = 198*m**3 - 3*m**2 + 3*m. Let k(g) = -2970*g**3 + 44*g**2 - 44*g. Determine -3*k(d) - 44*s(d).
198*d**3
Let g(z) = z**2 - z - 1. Let x(s) = -62*s**2 - 2*s - 4. Give 2*g(b) - x(b).
64*b**2 + 2
Let h be (-10 + -8)*1/(-3). Let c = h + -4. Let u(s) = -s + 1. Let t(j) = 8*j - 10. What is c*t(d) + 18*u(d)?
-2*d - 2
Let d(o) = 3*o**3 + 12*o**2 + 8*o - 11. Let f(p) = 4 - 4*p**2 - 3*p + 51*p**3 - 104*p**3 + 52*p**3 + 0. Calculate 4*d(r) + 11*f(r).
r**3 + 4*r**2 - r
Let y(a) = 8*a + 4. Let k(j) = -j - 1. Let b(p) = p**2 + 15*p - 1. Let d(t) = -t**2 - 20*t + 54. Let s be d(-23). Let w be b(s). Give w*y(z) - 4*k(z).
-4*z
Let o be (7/14)/(2/(-4)). Let m(s) = -1. Let n(w) be the second derivative of w**3/6 - 4*w. Determine o*n(q) + m(q).
-q - 1
Let p(n) = -1122*n**3 + 176*n - 176. Let r(z) = 19*z**3 - 3*z + 3. Suppose -57 + 51 = -3*f + 3*w, 3*f + 2*w = 11. Give f*p(k) + 176*r(k).
-22*k**3
Let h(j) = -3 + 1 + 16*j + 3 + 0 - 4. Let t(y) = 31*y - 5. Calculate 5*h(u) - 3*t(u).
-13*u
Let l(u) = -9*u + 80. Let n(r) = -3*r + 27. Give -4*l(s) + 11*n(s).
3*s - 23
Let v(n) = 15*n**2 - 72*n - 37. Let m(r) = 8*r**2 - 36*r - 20. What is 11*m(w) - 6*v(w)?
-2*w**2 + 36*w + 2
Let f(w) = 58*w + 8. Let x(c) = -87*c - 13. Determine -8*f(i) - 5*x(i).
-29*i + 1
Let l(n) = 1885*n - 49. Let h(b) = -377*b + 9. Give -11*h(j) - 2*l(j).
377*j - 1
Let z(x) = -7*x**3 - 6*x**2 - 4. Suppose 3*m = 4*m + 1. Let b(u) = -5927 + u**3 + u**2 + 2960 + 2968. Determine m*z(t) - 6*b(t).
t**3 - 2
Let j(b) = 7*b**3 - 5*b**2 - 11*b - 2. Let v(t) = -10*t**3 + 7*t**2 + 16*t + 3. Let y = -1629 - -1622. Calculate y*j(h) - 5*v(h).
h**3 - 3*h - 1
Let a(p) = p**3 - 43*p**2 + 3*p + 2. Let f(u) = u**3 - 88*u**2 + 6*u + 5. Give -5*a(s) + 2*f(s).
-3*s**3 + 39*s**2 - 3*s
Let l(i) be the third derivative of -1/6*i**3 + 0*i + 7/24*i**4 - 51*i**2 + 0. Let n(y) = 20*y - 3. What is 17*l(g) - 6*n(g)?
-g + 1
Let f(t) = 33*t**3 + 4*t**2 + 1. Let h(j) = 65*j**3 + 9*j**2 + 2. Give -5*f(o) + 2*h(o).
-35*o**3 - 2*o**2 - 1
Let r(g) = 4*g**2 - 6*g - 3. Let z(b) = 9*b**2 - 13*b - 6. Determine -7*r(k) + 3*z(k).
-k**2 + 3*k + 3
Let d be (-2)/((40/12)/5). Let p(i) = 3*i**2 - i + 4. Let u(t) = -4*t**2 + 2*t - 5. Give d*p(a) - 2*u(a).
-a**2 - a - 2
Let i(l) = 2*l**2 - 5. Let a(f) = 9*f**2 - 21. Let t be 2 - (1 + 0 + 2). Let b = 4 - t. Suppose 0 = 3*j + 20 - b. Calculate j*a(o) + 21*i(o).
-3*o**2
Let a(z) = 7*z - 2. Let v(x) = 20*x - 7. Calculate -8*a(p) + 3*v(p).
4*p - 5
Let o(k) = 86*k**3 - 5*k**2 - 2. Let r(q) = -429*q**3 + 26*q**2 - q + 11. What is -11*o(n) - 2*r(n)?
-88*n**3 + 3*n**2 + 2*n
Let f(r) = -73386*r**2 + 378*r - 756. Let l(k) = 972*k**2 - 5*k + 10. Give 5*f(o) + 378*l(o).
486*o**2
Let z(w) = w**3 + 6*w**2 + 12*w + 17. Let o(q) = q**3 + 5*q**2 + 10*q + 16. Let f(m) = 6*o(m) - 5*z(m). Let x(y) = 1. Determine -6*f(u) + 66*x(u).
-6*u**3
Let x(n) = 8*n**3 - 24*n**2 - 6*n - 57. Let j(k) = 7*k**3 - 21*k**2 - 5*k - 56. Calculate 6*j(l) - 5*x(l).
2*l**3 - 6*l**2 - 51
Let h(z) = -2*z**3 + 5*z**2 - 7. Let d(c) = c**3 - 5*c**2 + 7. Give 4*d(m) + 3*h(m).
-2*m**3 - 5*m**2 + 7
Let x = 3 - 4. Let z(v) = -5*v**2 - 7*v + 1. Let b(u) = -9*u**2 - 12*u + 2. Let p(h) = -4*b(h) + 7*z(h). Let i(q) = q**2 + 2*q + 2. Calculate x*i(a) - 2*p(a).
-3*a**2
Let l(o) = o**2 + 2*o - 1. Let k(x) = -x**2 - 2*x + 1. Suppose 81*h = 86*h + 30. Determine h*k(f) - 5*l(f).
f**2 + 2*f - 1
Let d(o) = -2*o**2 - 6*o - 7. Let k(z) = -1. Let f be (1/2)/(0 + 4/(-8)). Let v(g) = -g**2 - 5*g - 12. Let m(i) = f*v(i) + 6*k(i). What is -5*d(q) - 6*m(q)?
4*q**2 - 1
Let j(t) = -2*t**2 + 2*t + 11. Let p be j(3). Let b(h) = h + 1. Let u(w) = -10*w - 4. Determine p*u(m) - 2*b(m).
8*m + 2
Let o(r) = -4*r - 30. Let t(f) = f - 3. Give o(j) + 5*t(j).
j - 45
Let x(u) be the second derivative of -5*u**4/3 + 5*u**3/2 - 15*u**2/2 - 408*u + 2. Let v(q) = -q**2 - 2 + q + 4 - 3. What is -15*v(d) + x(d)?
-5*d**2
Let x(m) = -3*m**3 + 4*m**2 - 5*m. Let d(i) = 3*i**3 - 3*i**2 + 4*i - 1. Give 3*d(b) + 2*x(b).
3*b**3 - b**2 + 2*b - 3
Let i(x) = -913*x**3 - 2*x**2 + 2*x + 2. Let a(u) = -2078902*u**3 - 4555*u**2 + 4555*u + 4555. Determine -2*a(h) + 4555*i(h).
-911*h**3
Let x(a) = 3211*a**2 - 38*a + 76. Let n(v) = 247*v**2 - 3*v + 6. Determine -38*n(u) + 3*x(u).
247*u**2
Let k(f) = -f. Suppose -10*q - 6 + 16 = 0. Let p(b) = b. Determine q*k(r) - 2*p(r).
-3*r
Let q(f) = f**3 - f + 1. Let i(u) = 2*u**3 - 4. Let s = 37 - 34. Suppose 16*o - 19*o = -s. What is o*i(k) - q(k)?
k**3 + k - 5
Let q(b) = -50*b**2 + 21*b + 3. Let v(z) = z**2 - 7*z + 1. Determine -q(j) - 3*v(j).
47*j**2 - 6
Let d be (-1)/(-3) + 4/6. Let y = -23 + 25. Let o(n) = -222*n**2 + 4 - 5 + 223*n**y. Let f(i) = 2*i**2 - 6. Give d*f(v) - 3*o(v).
-v**2 - 3
Let u(x) = x**3 + x**2 + 2*x + 1. Let q(p) = -180*p**3 - 7*p**2 - 14*p - 7. Determine -5*q(f) - 35*u(f).
865*f**3
Let i(s) = -3*s**2 - 19*s + 4. Let r(f) = 3*f**2 + 17*f - 6. Give -3*i(k) - 2*r(k).
3*k**2 + 23*k
Let t(d) = -44 - 42*d - 19 + 217*d**2 - 21*d. Let c(k) = 7*k**2 - 2*k - 2. Give -63*c(b) + 2*t(b).
-7*b**2
Let w(r) = 9*r**2 + 3*r + 10. Let z(b) = -13*b**2 - 5*b - 16. Determine -8*w(o) - 5*z(o).
-7*o**2 + o
Let k(d) be the second derivative of -d**4/2 - d**3/2 - 3*d**2/2 - 206*d. Let y(t) = 24*t**2 + 11*t + 11. Give -22*k(f) - 6*y(f).
-12*f**2
Let m(z) = -3*z**2 + 49*z - 7. Let u(s) = 5*s**2 - 49*s + 9. Give -3*m(f) - 2*u(f).
-f**2 - 49*f + 3
Let a(r) = -8*r**2 + 2*r + 7. Suppose -f + 204 = 2*f. Suppose 5*d + f = d. Let w(m) = 6*m - 6 - 23*m**2 + 20 + 6. What is d*a(p) + 6*w(p)?
-2*p**2 + 2*p + 1
Let n be 2/2 + 15 + -11. Let b(s) = -s**2 + 2*s - 6. Suppose -f + 4 = f. Let u(r) = 1 + 6 - 2*r**2 + r**2 + 2*r**f - 2*r. What is n*b(i) + 4*u(i)?
-i**2 + 2*i - 2
Let z(o) = -156*o + 17. Let h(w) = 154*w - 20. What is 5*h(v) + 6*z(v)?
-166*v + 2
Let m(w) = 7*w**2 - 2*w. Let f(z) = -9*z**2 + 2*z - 1. Let a(j) = -3*f(j) - 2*m(j). Let i(b) = -b**2 + b - 1. Determine a(d) + 2*i(d).
11*d**2 + 1
Let q be ((-10)/6)/(2/6). Let u(f) = 0 - 3 + 4 + 7*f. Let c(z) be the first derivative of -3*z**2 - z - 5. Determine q*u(w) - 6*c(w).
w + 1
Let m(o) = -277*o**3 - 6*o**2 + 8*o - 8. Let v(t) = 93*t**3 + 2*t**2 - 3*t + 3. Determine 3*m(f) + 8*v(f).
-87*f**3 - 2*f**2
Let u(b) = b. Let h(l) = -8*l - l - 2*l + 0*l + 7*l. Suppose -2*k = 5*w - 36 + 111, 71 = -3*w + 4*k. Let f = -31 - w. Give f*u(y) - 4*h(y).
2*y
Suppose -p - 9 = 2*p. Let h(u) = -u + 4. Suppose -125*m + 71 = -196*m. Let l(a) = 0 + 0 - 1. What is m*h(b) + p*l(b)?
b - 1
Let h(m) = -137*m**2 + 138*m**2 - 7*m - 2 + 12*m. Let k = -32 - -21. Let y(p) = 3*p**2 + 14*p - 5. Give k*h(g) + 4*y(g).
g**2 + g + 2
Let h(w) = -3*w**3 + w**2 - w. Let y(g) = -2432*g**3 + 760*g**2 - 760*g. Determine -760*h(d) + y(d).
-152*d**3
Let z(q) = q**3 + 5*q**2 - 124. Let y(n) = 2*n**3 + 10*n**2 - 247. Give -3*y(g) + 7*z(g).
g**3 + 5*g**2 - 127
Let d(a) = -1. Let j(r) = 2*r**2 - r - 3. Suppose 2*b - 2*s - 53 = b, 5*s = -5*b + 325. Let p = b + -57. Calculate p*d(x) - j(x).
-2*x**2 + x - 1
Let w(v) = 3*v**3 + v - 6. Let c(f) = -f**3 - 3*f**2 - 4*f + 13. Let j(g) = g**3 - g**2 - g + 2. Let m(a) = c(a) - 3*j(a). Give 6*m(k) + 7*w(k).
-3*k**3 + k
Let z(j) = -j - 1. Let w(n) = -264*n**2 + 12*n + 12. What is w(c) + 12*z(c)?
-264*c**2
Let s(a) = -29*a**3 - 5*a**2 + 5*a - 7. Let k(