 32. Let b(d) = -7*d**2 - 22*d - 16. Let g(u) = 13*b(u) + 6*w(u). Calculate 2*g(x) - 11*i(x).
-2*x**2 + x + 1
Let v(t) = -3*t**3 - 2*t**2. Let c(z) be the third derivative of -1/6*z**3 + 1/24*z**4 + 0 - 1/20*z**5 - 8*z**2 + 0*z - 1/30*z**6. What is 2*c(p) - 3*v(p)?
p**3 + 2*p - 2
Let r(n) = 2*n - 2*n + 0*n + 1 - 4*n**2 + 5*n**3 + 4*n. Let u(a) = a**3 + a**2 - a. Give r(w) + 4*u(w).
9*w**3 + 1
Let j(l) = -13*l**2 + 13. Let k(c) = -c**2 - 11*c + 10. Let v be k(-12). Let s(n) = 3*n**2 - 3. Let p = -9 - 0. Calculate p*s(w) + v*j(w).
-w**2 + 1
Let x(w) = -w**2 + 121*w + 6. Let d(b) = 3*b - 1. Calculate 6*d(p) + x(p).
-p**2 + 139*p
Let q = 271 - 277. Let i(s) = s - 7. Let c(a) = a - 8. Give q*c(w) + 7*i(w).
w - 1
Let r(g) = -g**3 + 18*g + 3. Let v(p) = 0 + 10 + 3 - 15 + 0 - 18*p. Calculate -2*r(k) - 3*v(k).
2*k**3 + 18*k
Let v = -57 + 53. Let b(a) = 6*a**2 + 3*a - 3. Let k(s) = -17*s**2 - 9*s + 8. Give v*k(l) - 11*b(l).
2*l**2 + 3*l + 1
Let d = 63 - 60. Let m(z) = -z**3 - z**2 + z + 1. Let c(b) = 10*b**2 - 8 + 15*b**2 - 8*b + 6*b**3 - 17*b**2. Calculate d*c(y) + 24*m(y).
-6*y**3
Let b(j) = -29*j - 3. Let w(q) = q + 1. What is b(a) + w(a)?
-28*a - 2
Let m(h) = 4*h**2 - 4*h**2 - 1 + 4*h**2 - 5*h**2 + h. Let d(r) = r**2 - 2*r + 2. Give d(k) + 2*m(k).
-k**2
Let k(o) = 5*o - 3. Let i(a) be the first derivative of a**3 - 2*a**2 + 4*a - 4. Let j(p) be the first derivative of i(p). Determine -4*j(n) + 5*k(n).
n + 1
Let t(w) = 13*w**2 - 6*w. Let q(z) = -12*z**2 + 9*z + 4. Let v(y) = -24*y**2 + 20*y + 10. Let g(a) = 5*q(a) - 2*v(a). Determine 6*g(j) + 5*t(j).
-7*j**2
Let g(q) = 3*q + 53. Let p(x) = -x - 18. Calculate -3*g(z) - 8*p(z).
-z - 15
Suppose -38 = 5*l - 2*d - 2, -d + 14 = -2*l. Let s = l - -1. Let q(r) = 2*r - 7. Let t(u) = u - 3. Determine s*t(g) + 3*q(g).
-g
Let n(s) = 4*s + 8. Suppose -48*m + 36 = -42*m. Let j(c) = 5*c + 9. Let g(b) = 3*b + 1. Let t be g(-2). Give m*n(p) + t*j(p).
-p + 3
Let o(z) = z**3 - z**2 - z + 1. Let y(w) = 11*w**3 - w**2 - 8*w + 1. Let l(s) = -2*s**3 + 2*s + 1. Let u(i) = 3*l(i) + y(i). What is 2*o(d) - u(d)?
-3*d**3 - d**2 - 2
Let j(o) = -12*o + 445. Let g(n) = 7*n - 223. What is 5*g(d) + 3*j(d)?
-d + 220
Let a = 1167 - 1165. Let z be (-28)/(-5) - (-4)/10. Let k(m) = 6 - a + z - 8. Let o(t) = t + 8. Calculate -9*k(q) + 2*o(q).
2*q - 2
Let l = 2478 + -2480. Let q(o) = -4*o**2 + 1 - 3*o**2 + 6*o**2. Let a(v) = 3*v**2 - 2. Determine l*q(r) - a(r).
-r**2
Let j(r) be the third derivative of -1/6*r**3 + 0 + 1/120*r**6 + 41*r**2 + 0*r + 0*r**5 + 1/24*r**4. Let i(c) = -2*c**3 + 3*c - 3. Determine -i(w) + 3*j(w).
5*w**3
Let h(k) = -4*k - k - 4*k**2 - 16 + 2*k + 13. Let y(b) = -b**3 + 11*b**2 + 8*b + 8. Let g = -4 - -7. Give g*y(u) + 8*h(u).
-3*u**3 + u**2
Let g(i) = 17*i + 1. Let z(s) = s - 1. Calculate -g(k) - 6*z(k).
-23*k + 5
Let p(z) = -z + 1. Let a(f) = -9*f - 18. Let o(s) = 9*s + 13. Let k(h) = 3*a(h) + 4*o(h). Give k(q) + 2*p(q).
7*q
Let q(z) = 5*z**3 - 3*z**2 - 62*z - 8. Let c(x) = -6*x**3 + 4*x**2 + 60*x + 10. Calculate 3*c(o) + 4*q(o).
2*o**3 - 68*o - 2
Let p(x) be the second derivative of -7*x + 1/12*x**4 - 3/2*x**2 + 0 - 2/3*x**3. Let y(u) = u**2 - u - 1. Determine p(r) - 3*y(r).
-2*r**2 - r
Let c(v) = -482*v - 10. Let h(r) = -1. Calculate -c(y) + 10*h(y).
482*y
Let q(l) = -4*l**2 + 7*l - 1. Let f(p) = -7*p**2 + 17*p - 2. What is -3*f(z) + 5*q(z)?
z**2 - 16*z + 1
Let q(k) = 2 - 1 + 4*k - 5*k. Let s(c) = -13*c + 27. Let d(n) = 7*n - 15. Let f(a) = -11*d(a) - 6*s(a). Calculate f(w) - 2*q(w).
3*w + 1
Let v(a) = 9*a**2 + 5*a + 7. Let o(g) = 17*g**2 + 8*g + 13. Calculate 3*o(s) - 5*v(s).
6*s**2 - s + 4
Let n(t) = -40*t - 273. Let o(h) = 9*h + 68. What is -2*n(a) - 9*o(a)?
-a - 66
Let w(b) = -44*b**3 - 4*b**2 - b - 4. Let g(k) = 43*k**3 + 5*k**2 + k + 5. What is 4*g(h) + 5*w(h)?
-48*h**3 - h
Let s(f) = 2*f. Let d be (6/2)/1 + -2. Let v be s(d). Let y(g) = 1 - 5*g + 2*g**2 + 2*g**v + 4*g. Let j(m) = -11*m**2 + 2*m - 2. Determine 3*j(t) + 8*y(t).
-t**2 - 2*t + 2
Let h(f) = 4*f**3 - f**2 - 2*f + 3. Let y(b) = -5*b**3 + 3*b - 5. Calculate -3*h(m) - 2*y(m).
-2*m**3 + 3*m**2 + 1
Let x be -2 - -4*27/(-12). Let b(k) = -7*k**2 + 9*k - 13. Let a(n) = -4*n**2 + 5*n - 7. Suppose 3*o - 6 = 2*o. Determine o*b(u) + x*a(u).
2*u**2 - u - 1
Let g(i) = 7*i**2 - 6*i + 7. Let t(k) = k**2 - 7*k + 1. Let n(r) = -r. Let z(d) = -6*n(d) + t(d). Calculate g(u) - 6*z(u).
u**2 + 1
Let f(k) = 2*k**2 - k - 122. Let x(m) = 5*m**2 - 3*m - 364. What is -8*f(v) + 3*x(v)?
-v**2 - v - 116
Let d(r) = 6*r**3 - 6*r**2 - 2*r + 1. Let c(q) = 7*q**3 - 7*q**2 - 3*q + 2. Calculate 4*c(w) - 5*d(w).
-2*w**3 + 2*w**2 - 2*w + 3
Let v(y) = -y**2 + 3*y. Let m(n) = 4*n**2 - 37*n - 5. Let r(g) = 9*g**2 - 81*g - 11. Let j(i) = 13*m(i) - 6*r(i). What is -3*j(p) + 5*v(p)?
p**2 - 3
Let g(h) = 1301*h**2 + 3*h + 6. Let y(k) = -74154*k**2 - 170*k - 340. Give 170*g(x) + 3*y(x).
-1292*x**2
Let n = 1526 + -1524. Let b(t) = -t. Let p(j) = j**2 + 4*j + 2. Let w be p(-3). Let v(m) = -m - 1. Calculate n*v(a) + w*b(a).
-a - 2
Let f(n) = 21*n - 871. Let c be f(41). Let z(s) = -13*s**3 + 3*s. Let d(k) = -40*k**3 + 10*k. Give c*z(m) + 3*d(m).
10*m**3
Let j(q) = 4*q + 10. Let f(t) = 91*t + 0 + 7 - 5*t - 83*t. What is 7*f(n) - 5*j(n)?
n - 1
Let d(f) be the second derivative of 7*f**5/20 + 5*f**4/12 + 5*f**2/2 - 568*f. Let n(p) = p**3 - p**2 - 1. Determine d(v) + 5*n(v).
12*v**3
Let d(u) = -u. Let s(q) = q**2 - 15*q + 1. Determine 4*d(l) - s(l).
-l**2 + 11*l - 1
Let c(d) = 20*d**2 + 12*d - 10. Let z(k) = k**2 + 3*k - 2. What is c(g) - 3*z(g)?
17*g**2 + 3*g - 4
Let h(f) = 56*f**2 + 17*f - 13. Let c(d) = -28*d**2 - 8*d + 6. What is -13*c(y) - 6*h(y)?
28*y**2 + 2*y
Suppose -5*m - 2*w + 14 = 0, -2*m + 5*w = 6*w - 5. Let i(f) = -4*f + 10. Let a(u) = u - 3. Give m*i(c) + 14*a(c).
-2*c - 2
Let u be (-126)/(-10) - 6/(-15). Let s(a) = -7*a - 13. Let x(h) = -6*h - 9. Let v(g) = 5*g + 8. Let y(t) = -3*v(t) - 2*x(t). Determine u*y(r) - 6*s(r).
3*r
Let m(n) = -n - 12. Let v be m(-4). Let o(d) = -d - 7. Let y be o(v). Let b be y - -2*(-4 - -3). Let u(f) = -f**3 + 2. Let k(s) = -1. Give b*u(p) - 2*k(p).
p**3
Let o(b) = -5*b**2 + b - 3. Let h(z) = z**2 + 1. Let s(j) = 8*j + 7. Let g be s(-3). Let i = g - -20. Suppose -i*r - 6 = -9. What is r*o(k) + 4*h(k)?
-k**2 + k + 1
Let c(r) = -14*r**3 - 6*r**2 + 5. Let m(u) = 10*u**3 - 3*u**2 - 2. Let f(j) = -11*j**3 + 4*j**2 + 2. Let z(p) = -5*f(p) - 6*m(p). Calculate 4*c(x) - 11*z(x).
-x**3 - 2*x**2 - 2
Suppose -2*v + 16 = 2*v. Let w(u) = 7*u**3 - 4*u**2 - 4. Let p(z) = -81*z**2 - 21 + 36*z**2 + 36*z**3 + 24*z**2. Calculate v*p(i) - 21*w(i).
-3*i**3
Let l(a) = -17*a**3 - 13*a**2 - 13*a + 17. Let u(m) = 2*m - 3*m**2 - 4*m**3 + 4*m + 4 - 5*m - 4*m. Let v = -3 - 23. Let o = 9 - 3. What is o*l(x) + v*u(x)?
2*x**3 - 2
Let j(l) = 3*l**2 - 491 + 480 + 2*l**2. Let o(m) = -m**2 + 5*m - 8. Let g(a) = -2*a**2 + 12*a - 20. Let b(s) = -5*g(s) + 12*o(s). Give 11*b(u) + 4*j(u).
-2*u**2
Let j(d) = 7*d**2 - 3*d**2 - 8*d**2 - d + 2*d**2 + 3*d**2. Let n(u) = u**2 - u. Give -4*j(f) + 6*n(f).
2*f**2 - 2*f
Let w(o) = 1. Let h = 235 - 234. Let x(y) = 9*y - 6. Determine h*x(j) + 6*w(j).
9*j
Let p(l) = -5*l - 7. Let d(t) = -13*t - 15. Let a(z) = -4*d(z) + 10*p(z). Let f(m) be the first derivative of m - 1. What is a(k) + 10*f(k)?
2*k
Let l(b) = 4*b - 1 + b + 6. Let v(f) be the third derivative of f**3/6 - 172*f**2. Calculate -l(i) + 5*v(i).
-5*i
Let q(i) = -15*i + 12. Let n(f) = 10*f - 8. What is -7*n(z) - 5*q(z)?
5*z - 4
Let l(t) = 55*t**3 + 10*t**2 + 3*t + 5. Let q(h) = 82*h**3 + 14*h**2 + 4*h + 7. Calculate 7*l(k) - 5*q(k).
-25*k**3 + k
Let f(a) = -3*a**2 + 6*a + 5. Let c(i) = -4*i**2 + 7*i + 6. Let m be (-162)/(-24) - (4 - 68/16). Calculate m*f(w) - 6*c(w).
3*w**2 - 1
Let x(h) = -h**2 - 3*h + 4. Let s(y) = -3*y**2 - 4*y**2 + 2*y**2 + 4*y**2 - 2*y + 3. Let c be (-882)/189*12/(-14). What is c*x(m) - 5*s(m)?
m**2 - 2*m + 1
Let h(v) = -4*v**2 + 3*v - 1. Let w(t) = -3*t - 14. Let f be w(-7). Let u be -1 + 17/f - 12/28. Let g(z) = -z**2 + z. Give u*h(i) - 5*g(i).
i**2 - 2*i - 1
Let f(j) = 10*j - 4. Let c(h) = -20*h + 7. Let q be -4 + (-42)/(-11) - 1666/154. Determine q*f(m) - 6*c(m).
10*m + 2
Let t(z) = -2. Let g(o) = o - 1. Suppose -3*c = 4 - 40. Let p be -6*(c/(-4) + 2). Let n be (8/p)/((-2)/3