*b = 16, -n*b = -c - 3*b + 9. What is c*h(w) + t*k(w)?
w
Let l(c) = -11*c**2 + 7*c + 7. Let n(j) = -11*j**2 + 8*j + 8. Determine 6*l(i) - 5*n(i).
-11*i**2 + 2*i + 2
Let d(m) = -2. Let y(q) = -4*q - 4. Give 2*d(u) + y(u).
-4*u - 8
Let v(t) = -6*t**2 - 2. Let z(p) be the third derivative of -p**5/60 - p**3/6 + 14*p**2 + 10. What is -v(n) + 3*z(n)?
3*n**2 - 1
Let q(s) = -185*s + 33. Let c(y) = -61*y + 12. Determine -8*c(d) + 3*q(d).
-67*d + 3
Let n(i) = -14*i - 1292. Let y(u) = -3*u - 323. What is 2*n(r) - 9*y(r)?
-r + 323
Let r(v) = 14*v**3 + 2*v - 3. Let p(h) = -7*h**3 - h + 1. Determine 7*p(t) + 3*r(t).
-7*t**3 - t - 2
Let n(z) = -4*z**3 + 4*z**2 - 26*z - 2. Let u(h) = 11*h**3 - 11*h**2 + 79*h + 6. Calculate 17*n(q) + 6*u(q).
-2*q**3 + 2*q**2 + 32*q + 2
Let d(h) = 4*h + 3. Let m(w) = -8*w - 7. Let f = -28 - -32. Suppose f*p + 2 - 14 = 0. What is p*m(u) + 7*d(u)?
4*u
Let o(r) = 2*r**2 - 3*r - 83. Let u(g) = g**3 - 5*g**2 + 8*g + 250. Calculate 8*o(d) + 3*u(d).
3*d**3 + d**2 + 86
Let v(q) = -2*q**2. Let s(w) be the third derivative of w**5/10 + w**4/24 - 6*w**2. What is -2*s(j) - 2*v(j)?
-8*j**2 - 2*j
Let c(q) = -q**3 + 79*q**2 + 2*q + 2. Let y(m) = 3*m**3 - 80*m**2 - 3*m - 3. Determine -3*c(a) - 2*y(a).
-3*a**3 - 77*a**2
Let k(n) = n**2 + 43*n + 3. Let s(l) = l**3 - 4*l**2 - 173*l - 13. What is -9*k(r) - 2*s(r)?
-2*r**3 - r**2 - 41*r - 1
Let j(k) = -3*k - 2. Let h(x) = 31*x + 9. Determine h(q) + 6*j(q).
13*q - 3
Let s(n) = 4*n**3 + 8*n**2 - 8*n + 12. Let z be (-14)/(-2) + (41 - 56). Let q(b) = b**3 + b**2 - b + 1. Calculate z*q(m) + s(m).
-4*m**3 + 4
Let t(s) = -92*s**2 + 39*s. Let a(p) = -101*p**2 + 39*p. Let i(l) = 3*a(l) - 4*t(l). Let o(d) = -8*d**2 + 5*d. Calculate -5*i(m) - 39*o(m).
-13*m**2
Let p(t) be the third derivative of -t**7/630 - 5*t**4/8 + 6*t**2. Let u(s) be the second derivative of p(s). Let v(m) = 3*m**2. What is -5*u(n) - 8*v(n)?
-4*n**2
Let l(y) = 1. Let x(d) = 5*d - 4. Suppose 0 = 5*j + 4 - 9. Let r(t) = j*x(t) + 6*l(t). Let n(q) = 2*q + 1. Calculate 11*n(g) - 4*r(g).
2*g + 3
Let d(c) = -5*c**3 - 74*c**2 + 9. Let q(u) = -6*u**3 - 75*u**2 + 12. Give -5*d(x) + 4*q(x).
x**3 + 70*x**2 + 3
Let x(y) = 123*y**3 - 6*y**2. Let m(q) = 11438*q**3 - 559*q**2. Give -6*m(i) + 559*x(i).
129*i**3
Let f(l) = 6*l**3 - 3*l**2 + 3*l + 3. Let c(d) = 5*d**3 - 2*d**2 + 2*d + 2. Let k be 354/413*(-7)/(-2). Determine k*c(s) - 2*f(s).
3*s**3
Let a(l) = 5*l**2 + 7*l + 48. Let o(s) = 3*s**2 + 6*s + 49. Give -6*a(c) + 7*o(c).
-9*c**2 + 55
Let j(q) = -q**2 - 20*q - 5. Let f(o) = -2*o + 1. Determine 5*f(t) + j(t).
-t**2 - 30*t
Let o(d) = -d + 10. Let v be (-1*12/33)/((-12)/22)*-9. Let c(t) = -3*t + 29. Let n(s) = 3*s**2 + 3*s - 1. Let a be n(-3). Calculate a*o(q) + v*c(q).
q - 4
Let v(y) be the second derivative of -y**4/12 + y**2/2 - 106*y. Let t(a) = -a - 2. Let o = -1 - -2. Determine o*t(s) + v(s).
-s**2 - s - 1
Let g(h) = 3*h + 2*h**3 - h - 6*h. Let k(n) = -4*n**3 + 9*n. Suppose 2*i - c = -7, -5*i - 5*c = -i + 35. Suppose -2*u - 1 = 3. What is i*g(r) + u*k(r)?
-2*r**3 + 2*r
Let g(t) = -t**2 + 5*t + 3. Suppose j + 1 = 3. Let l(x) = -3*x + x**j + 6*x + 4 - 2*x**2 + 3*x. What is -5*g(n) + 4*l(n)?
n**2 - n + 1
Let d(m) = 19*m - 18. Let g(j) = j + 3. Give d(q) + 4*g(q).
23*q - 6
Let x(c) = c**2 - 10*c - 22. Let r be x(12). Let w(v) = -5*v + 1. Let n(a) be the third derivative of a**4/4 - a**3/6 - 4*a**2. Give r*n(k) + 3*w(k).
-3*k + 1
Let y(p) = -p. Let t(a) = -a**3 - 17*a**2 + 40*a + 36. Let v be t(-19). Let q(c) = -4*c**2 + 22*c. Determine v*q(k) - 44*y(k).
8*k**2
Suppose 47*h - 15 + 62 = 0. Let a(g) = 1 + 3 + 4*g**2 - 1 + 5*g. Let z(t) = -1. Let v(o) = o**2 + o + 7. Let b(i) = v(i) + 6*z(i). Calculate h*a(q) + 3*b(q).
-q**2 - 2*q
Let h(t) be the third derivative of 11*t**6/120 - t**4/24 + 5*t**3/6 - 9*t**2. Let d(i) = 6*i**3 - i + 3. What is 5*d(z) - 3*h(z)?
-3*z**3 - 2*z
Let p(g) = -77*g - 3. Let m(o) = 77*o + 2. Give -7*m(w) - 6*p(w).
-77*w + 4
Let d(y) be the third derivative of -y**5/60 - y**4/24 + y**3/3 + 373*y**2. Let b(s) = -s + 3. Calculate 4*b(n) - 6*d(n).
6*n**2 + 2*n
Suppose 9*l - 68 = -32. Let u(x) = x + 1. Let g(t) = -2*t - 2. Calculate l*u(w) + g(w).
2*w + 2
Let i(f) = f + 1. Let l(t) = t + 1. Suppose -v - 6 = -2*v. Let d(b) = v*i(b) - 5*l(b). Let m(j) = -1. Let w(o) = o - 8. Let z be w(10). Give z*m(c) + 2*d(c).
2*c
Let h(g) = 28*g - 7. Let a(b) = -14*b + 4. Determine 10*a(i) + 6*h(i).
28*i - 2
Suppose -3*u - 6 = -4*o + 5, -3*u + 2*o - 19 = 0. Let i(s) = -2. Let t(v) = v + 9. Calculate u*i(z) - 2*t(z).
-2*z
Let f(d) = 2*d + 29. Let p(t) = 2*t + 29. Calculate -5*f(b) + 4*p(b).
-2*b - 29
Let t(n) = 6*n**2 + 4*n + 9. Let h(j) = 11 + 2*j - 3*j**2 + 6*j**2 - 10 + 4. What is -5*h(g) + 3*t(g)?
3*g**2 + 2*g + 2
Let c(s) = -s**2 - 5*s - 4. Let x(v) = v**2 + 3*v + 1. Calculate -c(j) - 2*x(j).
-j**2 - j + 2
Let m(n) = -2*n + 10. Let a(q) = q**3 + 2*q**2 - 6*q - 6. Let b be a(-3). Let s(r) = -24 + b*r + 5 + 4. What is -8*m(o) - 5*s(o)?
o - 5
Suppose 3*c + 4 = -14. Let f = 967 + -972. Let q(j) = -7*j**3 + 6*j**2 - 2*j + 8. Let z(o) = 6*o**3 - 5*o**2 + 2*o - 7. What is c*z(n) + f*q(n)?
-n**3 - 2*n + 2
Let g(w) = 2*w**3 + 3*w**3 + 64*w - 23*w - 25*w - 23*w. Let d = -7 - -11. Let b(n) = -6*n**3 + 8*n. Determine d*b(o) + 5*g(o).
o**3 - 3*o
Let y(k) = -k - 1. Let a(w) be the second derivative of 1/2*w**3 + 11*w + 0 + 1/2*w**2. What is a(d) + 4*y(d)?
-d - 3
Let j(g) = -92*g**2 - 36*g - 8. Let o(c) = -37*c**2 - 15*c - 3. What is -5*j(v) + 12*o(v)?
16*v**2 + 4
Let k(u) = -21*u**3 - 2*u**2 + 2. Let h(c) = -22*c**3 - 2*c**2 + 3. Calculate 3*h(v) - 4*k(v).
18*v**3 + 2*v**2 + 1
Let o(i) = i**2 + 5*i + 4. Let t be o(-5). Let s = -20 + t. Let n = -22 - s. Let k(p) = p**2 + p. Let g(w) = -4*w**2 - 6*w - 1. Give n*k(m) - g(m).
-2*m**2 + 1
Let v(t) = 5*t**3 - 4*t**2 + 8*t - 4. Let w(s) = 201 + 6*s**3 + 202 - 408 + 9*s - 5*s**2. Calculate -5*v(z) + 4*w(z).
-z**3 - 4*z
Let f(x) = -18*x - 115. Let o(k) = 31*k + 230. Determine 7*f(a) + 4*o(a).
-2*a + 115
Let b(t) be the first derivative of 11*t**2/2 + 2*t + 88. Let v = -3 + 16. Let o(f) = 5*f + 1. What is v*o(a) - 6*b(a)?
-a + 1
Let u(g) = -1. Let p(o) = 389*o - 3. Give -p(j) + 4*u(j).
-389*j - 1
Let q be (6 + -5)/(-3)*-6. Let p(o) = q + 2*o - 7*o**3 + 2 - 2 - 6. Let n(c) = 15*c**3 - 4*c + 9. Determine -4*n(u) - 9*p(u).
3*u**3 - 2*u
Let r(z) = 33*z**3 - 6*z**2 - 6*z + 1. Let q(m) = -66*m**3 + 11*m**2 + 11*m - 2. What is -6*q(y) - 11*r(y)?
33*y**3 + 1
Let m(b) = -b**3 - b + 2. Let f(i) = 57*i**3 + 2*i**2 + 6*i - 12. Give f(a) + 6*m(a).
51*a**3 + 2*a**2
Let y(x) = -10*x**2 + 14*x. Let h(c) be the third derivative of c**5/30 - c**4/8 - c**2. Let m = 184 - 181. Calculate m*y(a) + 14*h(a).
-2*a**2
Let y(l) = 76*l**2 + 3*l - 3. Let g(f) = 2*f**2 - 1. Calculate 3*g(w) - y(w).
-70*w**2 - 3*w
Let d(f) = 3*f - 143. Let i(a) = 10*a - 430. Determine -7*d(q) + 2*i(q).
-q + 141
Let n(q) = -3*q**2 - 3 - 6 + 5*q - 2. Let j(i) be the second derivative of i**4/12 - i**3/3 + 2*i**2 + 441*i. Determine 8*j(y) + 3*n(y).
-y**2 - y - 1
Let y(g) = -103*g**2 + 197*g**2 - 95*g**2. Let k(w) be the first derivative of -8*w**3/3 + 1. Calculate 4*k(q) - 28*y(q).
-4*q**2
Suppose -j + 2*u = -16, u = j - 3 - 17. Suppose 3*s + 9 = -j. Let r(o) = -o**3 + 4. Let k(z) = -3*z**3 + 11. What is s*r(x) + 4*k(x)?
-x**3
Let j(i) = -11*i + 0*i + 10*i + 4*i + 8*i. Let p(a) = -21*a. What is 9*j(f) + 4*p(f)?
15*f
Let t(f) = -4*f**2 + f - 7. Let u(z) = -35*z + 33*z + 0*z + 0*z**2 + 3*z**2 + 13 + 4*z**2. Determine 5*t(h) + 3*u(h).
h**2 - h + 4
Let g(w) = 7*w - 3. Suppose 5*z - 3*z = -s + 22, -z - s = -10. Let o be (z*1)/(21/(-14)). Let j(u) = 20*u - 8. Calculate o*g(i) + 3*j(i).
4*i
Let f(l) = -13*l**2 + 4*l + 6. Let r(v) = 14*v**2 - 3*v - 5. Calculate 3*f(j) + 4*r(j).
17*j**2 - 2
Let t(j) = -584*j**2 + 14. Let r(x) = 584*x**2 - 19. What is 3*r(p) + 4*t(p)?
-584*p**2 - 1
Let r(b) = 17*b - 492. Let f(d) = 31*d - 983. Determine 6*f(n) - 11*r(n).
-n - 486
Let w(x) = -15*x**2 - 13*x + 17. Suppose -5*q + 38 = 3. Let l = 13 - q. Let p(y) = -7*y**2 - 6*y + 8. Suppose 2*d + 25 = -1. Give d*p(v) + l*w(v).
v**2 - 2
Let d(c) = -380*c**3 - 4*c**2 - 4*c. Let b(o) = -o**3 - o**2 - o. Determine -4*b(i) + d(i).
-376*i**3
Let p(b) = -b - 6. Let q(c) = -2*c - 13. Suppose 12 = -4*j 