
Let r(x) = 34*x**3 - 29*x**2 - 4*x - 12. Let s(w) = -103*w**3 + 85*w**2 + 11*w + 33. Determine 11*r(a) + 4*s(a).
-38*a**3 + 21*a**2
Let s(u) = 68599 - 137206 + 68603 + 4*u. Let h(i) = -1. What is -3*h(b) - s(b)?
-4*b + 7
Let a(z) = -1993*z**2 + 12*z - 24. Let g(k) = 3320339*k**2 - 19990*k + 39980. Determine -9995*a(v) - 6*g(v).
-1999*v**2
Let y(d) = 11*d - 3. Let g(q) = 2*q**3 + 2*q**2 - 4*q + 18. Let l be g(-3). Let p(f) = 12*f - 3. Give l*y(s) + 5*p(s).
-6*s + 3
Let r(i) = -2*i - 6. Suppose -4*m + 0*m = 0, -4*j + 5*m = 24. Suppose -2*g - 2*g = -24. Let b(v) = -1 - v + g*v - 6*v. Give j*b(c) + r(c).
4*c
Let f(u) = -13*u + 2*u + 5*u + 1 + 0*u - 2*u**2 - 3. Let p(n) = -3*n**2 + 7*n + 8. Let t(s) = s**2 - 1. Let y(o) = p(o) + 5*t(o). Calculate -7*f(b) - 6*y(b).
2*b**2 - 4
Let o(x) be the third derivative of -x**4/12 + x**3/6 - 72*x**2. Let p(i) = -4*i + 2. Let v be 1/(-1 - (-45)/50). Calculate v*o(u) + 4*p(u).
4*u - 2
Let a(h) be the second derivative of -h**4/3 - 3*h**2 + 2*h. Let m(b) be the first derivative of b**3/3 - b + 14922. Give a(v) - 6*m(v).
-10*v**2
Let v(s) = -2*s**2 - 3*s + 2. Let b(p) = 1233*p**2 + 1233*p - 822. Calculate -b(h) - 411*v(h).
-411*h**2
Let v(g) = 2*g - 6*g**2 - 41248*g**3 + 82498*g**3 - 41248*g**3 + 7. Let u(b) = b**2 - b. Calculate -4*u(a) - v(a).
-2*a**3 + 2*a**2 + 2*a - 7
Let b(y) be the second derivative of -y**3/6 - 2989*y. Let v(f) = 7*f + 9. Calculate 5*b(x) + v(x).
2*x + 9
Let x(m) = m + 2. Let u(j) = 235*j - 18. Determine u(f) + 8*x(f).
243*f - 2
Let o(i) = -17*i**3 + 6*i**2 - 209*i. Let g(f) = -20*f**3 + 9*f**2 - 211*f. Calculate 4*g(h) - 6*o(h).
22*h**3 + 410*h
Let r(k) be the second derivative of 1/2*k**2 + 5/12*k**4 - 5/6*k**3 + 0 + 95*k - 7/20*k**5. Let c(h) = -3*h**3 + 2*h**2 - 2*h + 1. Give 5*c(g) - 2*r(g).
-g**3 + 3
Let t(d) = -8*d + 37. Let u(c) = -2*c + 10. Give 2*t(y) - 9*u(y).
2*y - 16
Let p(t) = -t**2 + t. Let n(f) = 19*f - 7*f**2 + 199*f - 220*f. What is -n(m) + 6*p(m)?
m**2 + 8*m
Let s(q) = -q**3 - q**2 - q + 1. Suppose -49 = 989*v - 1011*v + 17. Let d(m) = -m**3 - 7*m**2 - 4*m + 3. What is v*s(t) - d(t)?
-2*t**3 + 4*t**2 + t
Let j(y) = -332*y - 14. Let p(t) = -18*t + 2. Determine j(h) + 8*p(h).
-476*h + 2
Let r(d) = 2*d**3 - 55*d**2 - 83*d - 107. Let w be r(29). Let a(i) = 39*i + 9. Let l(x) = -1. What is w*l(c) + a(c)?
39*c
Let u(v) be the third derivative of 7*v**4/3 - 5*v**3/6 - 2064*v**2. Let g(o) = -476*o + 42. Give -5*g(z) - 42*u(z).
28*z
Let v(l) = -5*l**3 - 91*l + 13. Let u(s) = -s**3 - 18*s + 2. Determine 31*u(i) - 6*v(i).
-i**3 - 12*i - 16
Let i(j) = -3*j - 10. Let z(a) = a**3 - 37*a**2 - 170*a + 252. Let m be z(41). Let l(b) = -4*b - 11. Calculate m*i(h) - 5*l(h).
2*h - 5
Let j(m) = -671*m - 12. Let c be j(0). Let q(a) = 130*a**3 - 12*a**2 + 12*a - 12. Let k(i) = 52*i**3 - 5*i**2 + 5*i - 5. Calculate c*k(r) + 5*q(r).
26*r**3
Suppose 49 = -16*l - 77 + 142. Let v(t) = -25*t. Let b(f) = -f. Give l*v(r) - 2*b(r).
-23*r
Let g(s) = s + 1. Let p(k) = 5*k + 4. Let b(f) = -6*g(f) + 3*p(f). Let o(j) be the second derivative of j**3/6 + j**2/2 - 1472*j. Give b(x) - 5*o(x).
4*x + 1
Let q(l) = -l**3 + 6*l**2 - l - 8. Let b(s) = 2*s + 3 - 11*s**2 + 2*s**3 + 8 + 9 - 5. Let p = 24625 - 24631. Calculate p*b(g) - 11*q(g).
-g**3 - g - 2
Let l(d) = 5*d**3 - 921*d**2 - 12. Let i(j) = 14*j**3 - 2762*j**2 - 33. What is 4*i(u) - 11*l(u)?
u**3 - 917*u**2
Let i(v) be the first derivative of 52*v**2 - 40*v - 5956. Let l(x) = -8*x + 16. Let z be l(7). Let y(o) = -8*o + 3. What is z*y(s) - 3*i(s)?
8*s
Let h(r) = -4*r**2 + 2*r - 3. Let u = -347 - -245. Let p = u + 99. Let q(s) = -2 + 11*s**2 + 7 - 6*s**2 - 3*s - 1. Determine p*q(i) - 4*h(i).
i**2 + i
Let v(z) = 77. Let p(k) = 2*k + 149. Give -3*p(h) + 7*v(h).
-6*h + 92
Let c(k) = k**3 - 2*k**2 + 2*k + 4. Let j(a) = a**3 - a**2 + a. Let p(g) = -2*g + 18 - g - 7*g + 4. Let l be p(-10). Let u = l - 123. Give u*c(h) + 2*j(h).
h**3 - 4
Let o(f) be the second derivative of f**2/2 + 40*f. Let y(b) be the third derivative of -b**4/24 + 2*b**3/3 - 3*b**2 - 4*b. Calculate -4*o(r) + y(r).
-r
Let u(g) = -299*g - 16. Let t(i) = 269*i + 16. What is 5*t(s) + 4*u(s)?
149*s + 16
Let c(s) = -8*s**3 - 20*s**2 - 11*s - 5. Suppose 13*d - 2*p - 36 = 18*d, -5*d - 4*p = 52. Let j(x) = -3*x**3 - 7*x**2 - 4*x - 2. What is d*c(y) + 11*j(y)?
-y**3 + 3*y**2 - 2
Let x(l) = l**2 - l + 1. Let k(g) = g**3 - 2*g**3 + 17*g**2 - 5 + 11*g**2 + 0*g**3 + 2*g - 34*g**2. Give k(o) + 2*x(o).
-o**3 - 4*o**2 - 3
Let d(n) = n**3 + 5*n**2 + 3*n - 4. Let h be d(-4). Let j(z) = 3 + h + z**2 - 1. Suppose -28*p + 11 = -17. Let y(o) = -1. Give p*j(r) + 2*y(r).
r**2
Let n(u) = u**2 - u. Let s(t) = t**2 + t - 1. Let g = -2 + -3. Let b(f) = -4*f**2 - 6*f + 5. Let y(p) = g*s(p) - b(p). Calculate n(c) + 2*y(c).
-c**2 + c
Let u(z) = 14*z - 219. Let x(y) = -9*y + 109. Calculate 3*u(q) + 5*x(q).
-3*q - 112
Let q be -3*(3/(27*1/21) - 2). Let j(b) = -b**3 + b**2. Let z(l) = 6*l**3 + 5*l**2 - l. Give q*z(y) - 4*j(y).
-2*y**3 - 9*y**2 + y
Let u(i) = 4*i**2 + 5*i**2 + 13*i**2 - 7*i**2 + 24. Let y(b) = 3*b**2 + 5. Suppose -2*a - 52 = o, 2*a - o = -3*o - 56. Determine a*y(t) + 5*u(t).
3*t**2
Let f(m) = -5*m**2 - 2. Let r(s) = 11*s**2 - 30*s - 3. Calculate -2*f(i) + r(i).
21*i**2 - 30*i + 1
Let v(h) = -311*h**2 + 9*h - 16. Let s(o) = o**2 + 2*o - 2. Give 8*s(n) - v(n).
319*n**2 + 7*n
Let o(q) be the first derivative of -q**2 + 5*q + 428. Let r(g) = -5*g + 9. Let i(n) = n**2 - 8*n - 3. Let b be i(8). What is b*r(f) + 5*o(f)?
5*f - 2
Let w(q) = -79*q**3 + 11*q**2 - 11*q - 2. Let m(h) = 303*h**3 - 43*h**2 + 43*h + 7. Let b(j) = -6*m(j) - 23*w(j). Let n(c) = c**2 + 1. Give -b(i) + 4*n(i).
i**3 - i**2 + 5*i
Let r(w) = -49 - 43 + 10*w + 24 + 129*w - 23*w. Let u(b) = 5*b - 3. Determine 6*r(k) - 136*u(k).
16*k
Let p(m) = -m. Let u(y) be the first derivative of -y**2 + 92*y + 15. Let s(v) be the first derivative of u(v). Give 6*p(z) - s(z).
-6*z + 2
Let s(a) = -162*a + 8. Let y(z) be the second derivative of 9*z**3 - 3*z**2/2 + 5194*z. Give 3*s(x) + 8*y(x).
-54*x
Let q(c) = 283*c**3 + 2*c**2 - 4*c - 3. Let t(s) = 3112*s**3 + 22*s**2 - 44*s - 32. What is 32*q(x) - 3*t(x)?
-280*x**3 - 2*x**2 + 4*x
Let g(l) = -5*l**2 - 35*l - 12828. Let p(w) = -w**2 - 5*w - 1. Give -g(j) + 7*p(j).
-2*j**2 + 12821
Let m(s) = -4*s**2 - 18*s - 125. Let w(u) = -2*u**2 - 7*u - 64. Determine -4*m(z) + 9*w(z).
-2*z**2 + 9*z - 76
Let l(q) be the second derivative of -q**3/3 + 5*q**2 + 6305*q. Let d(n) = -4*n + 20. Give -6*d(f) + 11*l(f).
2*f - 10
Let v(b) = 19*b**3 - 15*b**2 + 5*b. Let w(f) = -28*f**3 + 24*f**2 - 8*f. Give 8*v(t) + 5*w(t).
12*t**3
Let c(p) = -3*p**3 + 0*p**3 - 16*p**2 - p**2 + 27*p**3 + 5 + 9*p. Let b(k) = 6*k**3 - 4*k**2 + 2*k + 1. Calculate -9*b(x) + 2*c(x).
-6*x**3 + 2*x**2 + 1
Let v(l) be the second derivative of 2*l**5/5 + 7*l**4/12 - l. Let d(t) = -804*t**3 - 331*t**2 + 337*t**2 + 811*t**3 - 1 + 1. Determine 6*d(m) - 5*v(m).
2*m**3 + m**2
Let p(r) = -9*r - 11. Let b be (-7 - 32)/(-13) - (-8 + -1 + 6). Let g(o) be the third derivative of 5*o**4/24 + o**3 + o**2. What is b*p(d) + 11*g(d)?
d
Let j be 45/(-6) + ((-8)/(-12) - 308/(-168)). Let k = -2 - -3. Let n(s) = -3*s**3 - 3*s**2 - 6*s. Let r(h) = -h**3 - h**2 - h. What is j*r(u) + k*n(u)?
2*u**3 + 2*u**2 - u
Let w = -4122 - -4116. Let a(d) = 14*d + 34. Let z(t) = 5*t + 11. What is w*a(h) + 17*z(h)?
h - 17
Let x(h) = h**2 - 34*h - 15. Let g(t) = t**2 - 34*t - 16. Give -5*g(k) + 6*x(k).
k**2 - 34*k - 10
Suppose 0 = -u - u - 10. Let b(a) = a - 10. Suppose -141 - 211 = 439*g - 351*g. Let t(q) = -q + 9. Calculate g*b(m) + u*t(m).
m - 5
Let p(l) = 21*l**3 + 2*l**2 + 55*l - 26. Let u(f) = 10*f**3 + f**2 + 26*f - 12. What is 6*p(a) - 13*u(a)?
-4*a**3 - a**2 - 8*a
Let j(h) = 7*h**3 - 6464*h**2 - 10*h + 20. Let i(z) = -3*z**3 + 3232*z**2 + 4*z - 8. Determine 5*i(g) + 2*j(g).
-g**3 + 3232*g**2
Let y(b) = -3290*b**2 - 141*b. Let w(c) = -4*c**3 + 23*c**2 + 19*c - 29. Let s be w(7). Let o(q) = -47*q**2 - 2*q. Give s*o(i) + 2*y(i).
47*i**2
Let b(f) = -4*f**2 - 2*f + 9. Let p(n) = 2*n**2 + n - 4. Suppose 251*l - 115 = 250*l. Let u be (-8)/10*l/46. Determine u*b(g) - 5*p(g).
-2*g**2 - g + 2
Let m(x) = x**3 - x**2 + x + 1. Let q(j) = 27*j**3 - 36*j**2 - 18*j + 36. Determine 36*m(z) - q(z).
9*z**3 + 54*z