- 4*a + 7*a. Let n(o) = -11*o**2 + 15*o + 11. Calculate -4*n(l) + 7*u(l).
2*l**2 - 4*l - 2
Let r(b) be the second derivative of b**3 + 7*b**2/2 + b. Let q = -58 - -58. Let a(l) = -6 + 5 + 4 + q*l + 3*l. Give 7*a(d) - 3*r(d).
3*d
Let i(y) = -4*y + 11*y**2 - 8*y + 2*y**2 - 14*y**2 + 9*y**2. Let l(b) be the third derivative of b**5/20 - 5*b**4/24 - b**2. Determine -5*i(w) + 12*l(w).
-4*w**2
Let c(u) = 0*u - 7*u**2 + 19 - 4*u - 45 + 25. Let q(n) = -2 + 0*n - 6*n**2 - 3*n + 1. What is -5*c(x) + 6*q(x)?
-x**2 + 2*x - 1
Let u(p) = 7*p - 52. Let d(r) = -10*r + 52. Give -3*d(i) - 4*u(i).
2*i + 52
Let n(f) = 5*f**3 - 8*f**2 - 4*f. Let q(l) = -24*l**3 + 39*l**2 + 21*l. Give -21*n(y) - 4*q(y).
-9*y**3 + 12*y**2
Let o(b) = -1528 - b + 1528. Let k(n) = 2*n**2 - 7*n. Calculate 3*k(c) - 21*o(c).
6*c**2
Let w(p) = -9*p**3 + 4*p**2 + 4*p - 4. Let l(q) = -10*q**3 + 5*q**2 + 5*q - 5. Suppose -5*u - 4*o + 8 = 0, 3*u + 3*o - 1 = 2. Determine u*l(i) - 5*w(i).
5*i**3
Let a(o) = -26 + 5*o + 28 - o + o. Let y(g) = -9*g - 3. What is 10*a(i) + 6*y(i)?
-4*i + 2
Suppose -3*h = -h + 2. Let b = h + 4. Let t(f) = 3 - b*f - f + 5*f + 3*f. Let r(v) = -5*v - 4. Determine 3*r(z) + 4*t(z).
z
Suppose b + 9 = 2*z, -z + 5 - 4 = -4*b. Suppose z = 4*i - 3. Let h(t) = t**2 + 0 + 4 + 1 - 9*t**i. Let s(v) = -3*v**2 + 2. What is 4*h(w) - 11*s(w)?
w**2 - 2
Let v(r) = -182*r**3 + 3*r**2 - 4*r + 6. Let s(l) = -182*l**3 + 2*l**2 - 3*l + 5. Calculate -4*s(j) + 3*v(j).
182*j**3 + j**2 - 2
Let n(s) = 3*s**3 - 2*s. Let c(x) = -19 - x + 6*x - 6*x. Let y be c(-13). Let b(r) = -25*r**3 + 17*r. Determine y*b(t) - 51*n(t).
-3*t**3
Let y(k) = k**2 - 11*k + 11. Let g(r) = -r**2 + 13*r - 10. Determine 5*g(z) + 6*y(z).
z**2 - z + 16
Let a(z) = -3*z**3 + 4*z**2 + z. Let r(k) be the first derivative of -k**4 + 5 + k**2 + 5/3*k**3 + 0*k. Let u = -8 - -3. Give u*a(y) + 4*r(y).
-y**3 + 3*y
Let r(u) = 6*u**3 + 2*u**2. Let l(h) = 11*h**3 + 5*h**2. Let k = 127 + -125. Give k*l(w) - 5*r(w).
-8*w**3
Let q(r) = 2*r - 13. Let p be q(3). Let m(h) = 10*h + 1 + 2 + h. Let y(s) = 7*s - s + 0*s + 2. Calculate p*y(t) + 4*m(t).
2*t - 2
Let a(n) = 15*n - 8. Let h(b) = -8*b + 4. Give 2*a(u) + 5*h(u).
-10*u + 4
Suppose q + g = 10, 4*q = 2*g - 3*g + 25. Let a(b) be the second derivative of -b**4/12 + b**3/3 - 2*b + 44. Let h(n) = n**2 - 5*n. Determine q*a(c) + 2*h(c).
-3*c**2
Let l(c) = 27*c - 9. Let y(s) = -13*s + 6. Calculate 3*l(k) + 5*y(k).
16*k + 3
Let p(w) = 12*w**3 + 16*w**2 - 10*w - 10. Let r(t) = -t**3 + t**2 + 4*t - 1. Let z be r(-2). Let d(l) = -4*l**3 - 5*l**2 + 3*l + 3. Determine z*p(o) + 10*d(o).
-4*o**3 - 2*o**2
Let z(l) = 169*l**3 - 3*l**2 - 8*l - 8. Let m(i) = 113*i**3 - 2*i**2 - 5*i - 5. What is 8*m(j) - 5*z(j)?
59*j**3 - j**2
Let t(j) = 5*j**2 + j. Let c be (-1)/(-1)*(-5 + 1). Let z(v) = -2*v - 118*v**2 - 116*v**2 - 169*v**2 + 520*v**2 - 123*v**2. Determine c*z(u) - 5*t(u).
-u**2 + 3*u
Let r(n) = -5*n**2 - n - 7. Let u(d) = -4*d**2 - d - 6. Let l = -258 - -264. What is l*u(f) - 5*r(f)?
f**2 - f - 1
Let c(n) = 1. Let o(d) = -4*d - 9. Let y(q) = -11*q - 25. Let m(f) = 17*o(f) - 6*y(f). Let j be 2/(-9) + (-76)/(-18). Calculate j*c(s) + m(s).
-2*s + 1
Let l(f) = 9*f - 141. Let u(y) = -4*y + 69. Calculate 2*l(w) + 5*u(w).
-2*w + 63
Let p(v) = 5*v**2 - 17*v. Let n(b) = -10*b**2 + 35*b. What is 6*n(l) + 13*p(l)?
5*l**2 - 11*l
Let u(z) = z**3 + 3. Let m(t) = -t**3 - 23*t**2 + 24*t + 2. Let g be m(-24). Let a(b) = 2*b**3 + 3. Give g*a(p) - 3*u(p).
p**3 - 3
Let j(i) = 2*i**3 - 3*i**2 - 3*i + 13. Let c(d) = 11*d**3 - 17*d**2 - 17*d + 78. What is 6*c(g) - 34*j(g)?
-2*g**3 + 26
Let s(p) = -247*p - 78. Let n(g) = -1. Calculate 78*n(y) - s(y).
247*y
Let r(j) = -3*j**2. Let x = -5 + 1. Let y be (-36)/(-3)*x/(-12). Suppose -4 = -y*z - 28. Let a(m) = 7*m**2. Determine z*a(o) - 13*r(o).
-3*o**2
Suppose 3*a - 3*h - 3 = -a, 5*h - 24 = -3*a. Let k(g) = 2*g**2 + 2*g - 3. Let z(x) = 5*x**2 + 5*x - 7. What is a*z(n) - 7*k(n)?
n**2 + n
Let d(v) = -4*v + 2. Let f(c) be the second derivative of c**3/3 - c**2/2 - 5*c + 6. Give -6*d(g) - 11*f(g).
2*g - 1
Let f(h) be the third derivative of h**4/24 + h**3/2 - 2*h**2. Let l(b) be the second derivative of b**3/6 + b**2/2 + 2*b - 142. Give 2*f(p) - 6*l(p).
-4*p
Let y(d) = -3*d**3 + 227*d**2 + 2*d - 2. Let k(j) = j**3 - j**2 - j + 1. Give 2*k(u) + y(u).
-u**3 + 225*u**2
Let d(h) = 11*h + 25. Let n(q) = -13*q - 20. Give -4*d(r) - 5*n(r).
21*r
Let m(i) = -i - 1. Let u(b) = -11*b**2 + 22*b + 67. Let k(q) = 16*q**2 - 33*q - 96. Let d(j) = -5*k(j) - 7*u(j). What is 4*d(w) + 44*m(w)?
-12*w**2
Let d(j) = -j + 1. Let h = 55 - 52. Let l(s) = 6*s - 7 + h*s + 1 - s. What is 5*d(g) + l(g)?
3*g - 1
Let g(k) = -2*k - 1. Let p(l) = 2*l**2 + 5*l - 3. What is 6*g(x) - p(x)?
-2*x**2 - 17*x - 3
Let z(a) = -8*a - 2. Let k(f) = -f + 1. Suppose -4*g + 2*r - 17 = -3*r, g + 4*r = 22. What is g*k(o) + z(o)?
-10*o
Let j(v) = 56 - 159 + 52 + 6*v - 15*v + 53. Let h = -7 + 4. Let b(i) = -5*i + 1. Determine h*j(m) + 5*b(m).
2*m - 1
Let u(f) = -f**3 - f**2 - f - 1. Let m(w) be the first derivative of w + 2/3*w**3 + 0*w**2 - 5. Let o be 3/(-2)*(-8)/12. What is o*m(t) + 2*u(t)?
-2*t**3 - 2*t - 1
Let i(c) = 745*c - 894. Let g(v) = v - 3. Calculate -298*g(d) + i(d).
447*d
Let h(w) = w - 1. Let i(c) = 9 - 1 + 0 - 4 - 7 + 3*c. Calculate -5*h(z) + 2*i(z).
z - 1
Let w(t) be the third derivative of -t**4/2 - 16*t**2 + t. Let m(j) = 2 + 3*j - 2. What is -15*m(d) - 4*w(d)?
3*d
Let a(r) = -14*r**2 + 3*r. Let q(p) = -p**3 + 14*p**2 - 8*p + 109. Let y be q(14). Let f(z) = z**2 - z. Give y*f(j) - a(j).
11*j**2
Let y(a) = 631*a - 9. Let v(m) = -316*m + 4. What is -7*v(r) - 3*y(r)?
319*r - 1
Let h(r) = -193*r**2 + 4*r + 8. Let b(c) = -c - 2. Calculate -4*b(u) - h(u).
193*u**2
Let f(q) = 9*q**2 - 3*q. Let k(m) = 46*m**2 - 16*m. Calculate -11*f(b) + 2*k(b).
-7*b**2 + b
Let m(h) = 3*h + 5 - h - 7 - 1. Let y be m(0). Let s(l) = -2*l**3 + 3*l**2 - 3*l - 1. Suppose 0*w - 4*w = 4. Let u(a) = -a**2. What is w*s(j) + y*u(j)?
2*j**3 + 3*j + 1
Let p(g) = 6*g. Let d(b) = -4*b. Let z = 252 - 257. What is z*d(f) - 4*p(f)?
-4*f
Let d(j) = j**3 - 2*j**2 - 2*j + 1. Let z(t) = 63*t**3 - 5*t**2 - 10*t + 5. Give -5*d(c) + z(c).
58*c**3 + 5*c**2
Let m(k) = -3*k**2 - k - 2. Suppose 259*u = 265*u - 66. Let j(n) = 16*n**2 + 4*n + 11. What is u*m(h) + 2*j(h)?
-h**2 - 3*h
Let m(o) be the first derivative of 5*o**4/2 + 7*o**2 - 14*o - 24. Let n(a) = -2*a**3 - 3*a + 3. Give 6*m(d) + 28*n(d).
4*d**3
Let c be ((-2)/(-6))/(4 - 78/18). Let k(b) = -5*b**2 - 9*b + 4. Let o(h) = h**2 + h - 1. Let f(a) = -k(a) - 6*o(a). Let t(l) = -l. What is c*f(y) - 3*t(y)?
y**2 - 2
Let k(d) = -1. Suppose 86*n + 826 = 27*n. Let i(l) = -l + 5. Calculate n*k(v) - 2*i(v).
2*v + 4
Let z(j) = 9*j - 8. Let d(u) = -u - 1. Give 6*d(h) + z(h).
3*h - 14
Let v(b) = -b**2 + b + 3. Let q(p) be the first derivative of -p + 367. Calculate 6*q(c) + 2*v(c).
-2*c**2 + 2*c
Let t(s) = -s + 1. Let p(v) = -v + 2. Let d be ((-8)/(-15))/(8/12)*-5. Let i be 2 + (d - 1)/1 + 2. Give i*p(h) + 3*t(h).
-2*h + 1
Let x = 21 - 16. Suppose 9*h + x = 4*h. Let q(k) = k**3 + k - 1. Let j(z) = -7*z**3 - 6*z + 6. Calculate h*j(c) - 6*q(c).
c**3
Let l(d) be the first derivative of d**2/2 - 4. Let a = 641 - 638. Let j(r) = -r. What is a*l(q) + 2*j(q)?
q
Let t(j) = -765*j + 27. Let x(o) = -766*o + 23. What is 6*t(c) - 7*x(c)?
772*c + 1
Let u(n) = -23*n - 3. Let c(k) = 45*k + 9. Determine 2*c(q) + 5*u(q).
-25*q + 3
Let g(o) = 491*o**2 + 5*o - 5. Let b(w) = -491*w**2 - 6*w + 6. Calculate -5*b(p) - 6*g(p).
-491*p**2
Let p(b) = -b**3 + b. Suppose 18 = -89*t - 71. Let d(r) = 6*r**3 - 3*r. Calculate t*d(j) - 3*p(j).
-3*j**3
Let f = -74 - -77. Let t(z) = -z**3 - 2*z**2 + 2*z + 2. Let k(p) = p**3 + 3*p**2 - 3*p - 3. What is f*t(d) + 2*k(d)?
-d**3
Suppose -y + 2*y = -2*m + 6, 0 = 3*y - 2*m - 2. Let w(v) = 4*v - 9. Let z(j) = -j + 2. Suppose 4*g + 10*h - 36 = 9*h, -3*h + 9 = g. Calculate g*z(i) + y*w(i).
-i
Let o(x) = 6*x - 3. Let h(v) = 7*v - 4*v + 4 + 10*v - 10. Let s(l) = 4*h(l) - 10*o(l). Let w(i) = i - 1. What is -s(u) - 6*w(u)?
2*u
Let p(a) = -7*a**2 - 6*a - 4. Let q(t) = 8*t**2 + 16*t + 3. Let u(k) = 2*k**2 - k + 2. Let d(v) = q(v) + 3*u(v). Give -6*d(m) - 13*p(m).
7*m**2 - 2
Let m(h) = -h**3 + 8*h**2 + 6*h. Suppose 30 = -50*g + 5