4*g. Determine g*f(m) + o*j(m).
-2*m
Let g(m) be the second derivative of 2*m**3/3 + 3*m**2/2 - 27*m. Let x(v) be the first derivative of v + 1/2*v**2 - 1. What is 2*g(n) - 6*x(n)?
2*n
Let q(n) = 5*n + 5. Let o(d) = -13*d + 9. Let j(i) = -1. Let u(y) = y - 7. Let k(c) = 6*j(c) - u(c). Let t(s) = -22*k(s) + 2*o(s). Calculate 3*q(p) + 4*t(p).
-p - 1
Let z(p) = -1. Let a be (-552)/(-15) - (-1)/5. Suppose -16 = -2*j - j - 5*u, -4*j + 5*u = a. Let t(d) = -2*d - 5. Give j*z(o) + t(o).
-2*o - 2
Let i(w) = -2*w**3 + 4*w**2 + 4*w + 4. Let m(s) = 7 + 2 - 3*s**3 - 2*s**3 + 9*s**2 + 9*s. Give 9*i(z) - 4*m(z).
2*z**3
Let a(p) = -12*p**2 + 5*p - 5. Let w(d) = 36*d**2 - 16*d + 16. What is -16*a(c) - 5*w(c)?
12*c**2
Let j(v) = v**2 - v - 4. Let z be j(-3). Let r(g) = -10*g**3. Let w(m) = -7*m**3. Give z*w(b) - 5*r(b).
-6*b**3
Let v(l) = -4*l - 13. Let c(u) = -u - 3. Suppose -37 - 14 = 3*m. Let i be (-1 + (m - 0))*1. Determine i*c(k) + 4*v(k).
2*k + 2
Let b(j) = 7*j**3 + 24*j - 7. Let r(m) = 4*m**3 + 12*m - 4. Give -3*b(q) + 5*r(q).
-q**3 - 12*q + 1
Let d(j) = -j**3 - j**2 - 1. Let f(y) = -6*y**3 - 5*y**2 - 4. Give -4*d(t) + f(t).
-2*t**3 - t**2
Let b(d) = d - 1. Let g(k) = -k + 4. Let u(p) = -p + 4. Let c = -10 + 6. Let v(q) = c*g(q) + 3*u(q). What is -2*b(y) + v(y)?
-y - 2
Let k(t) = 2*t**2 + 3*t + 9. Let n = 3 + -6. Let o = -1 + -1. Let g be o/(-6) - (-42)/9. Let i(a) = a**2 + 2*a + 5. Give g*i(l) + n*k(l).
-l**2 + l - 2
Let c(j) = -6*j**2 - 6*j - 2. Let v(o) = -7*o**2 - 6*o - 2. Let q(l) = -2*c(l) + 3*v(l). Let u = 17 - 10. Let x(n) = -8*n**2 - 5*n - 2. Give u*x(f) - 6*q(f).
-2*f**2 + f - 2
Let v(c) = -5*c - 5. Let s(z) = 3*z + 2. Let l(y) = -7*s(y) - 4*v(y). Let j(f) = -3*f - 2*f + 3*f - 5 + 3*f. Calculate 7*j(i) + 6*l(i).
i + 1
Let z be 1*4/(-2) + -2. Let y(k) = -2*k - 2. Let j(q) = -1. Suppose s + a + 1 + 0 = 0, 2*a = -3*s - 1. Calculate s*y(m) + z*j(m).
-2*m + 2
Let t(n) = 9*n + 2*n + 3 - 16*n. Let v(g) = 10*g - 7. Give 9*t(r) + 4*v(r).
-5*r - 1
Let o(f) = 2*f**3 + 2*f**3 - 1 - 2. Let w(h) = 3*h - 1. Let k be w(-1). Let x(d) = 5*d**3 - 4. Let z(t) = t**2 + t - 3. Let j be z(-3). What is j*x(y) + k*o(y)?
-y**3
Let u(q) = -2*q**2. Suppose -4*x - 18 = 26. Let j(i) = 9*i**2 + 1. Let o(b) = -b**2 + b + 1. Let v(w) = -j(w) + o(w). Calculate x*u(s) + 2*v(s).
2*s**2 + 2*s
Let w(q) = 29*q**2 - 14*q. Let s(k) = -3*k**2 - 7*k**2 - 6*k**2 + 26*k**2 - 5*k. Give -17*s(r) + 6*w(r).
4*r**2 + r
Let o(h) = h + 5. Let c be o(-7). Let p be (1 - (0 - 0)) + -2. Let n(s) = -1. Let k(y) = -y + 1. What is c*n(q) + p*k(q)?
q + 1
Let m(k) = -5*k**2 - 4*k + 4. Let o = 0 + 5. Suppose 3 = y - 0*y - 2*f, -f = o*y - 15. Let p(l) = -4*l**2 - 3*l + 3. Determine y*m(u) - 4*p(u).
u**2
Let o(m) = 6*m**2 - 3*m + 14. Suppose -a = 3*a + 12. Let v(w) = 0*w - 2 + 4*w - 3*w - 3 - 2*w**2. Give a*o(l) - 8*v(l).
-2*l**2 + l - 2
Let q(r) = 1. Let i(f) = -4*f - 20. Calculate 2*i(g) + 40*q(g).
-8*g
Let f(j) = -7*j + 8. Let y(h) = -15*h + 17. Suppose 29 + 1 = -5*w. What is w*y(q) + 13*f(q)?
-q + 2
Suppose 7 = 3*y - 35. Let o(i) = i**3 + i**2. Let u(a) = -6*a**3 - 7*a**2. Determine y*o(d) + 2*u(d).
2*d**3
Let r(d) = 14 - 4*d - 5*d + 3*d. Let f(k) = 4*k - 9. Suppose -60 = 4*l - 3*w, l = 2*l + 3*w. Let z(t) = 2*t + 16. Let v be z(l). Calculate v*f(n) - 5*r(n).
-2*n + 2
Let m(g) = -2*g**3 + g + 7. Suppose -n + q + 13 = 0, 2*n - 5*n - 2*q = -19. Suppose 3*v + 6 = -n. Let z(o) = o**3 - 3. Let r = -4 - -2. Give r*m(t) + v*z(t).
-t**3 - 2*t + 1
Suppose -8 = -0*h - 4*h. Let x = 8 - h. Let j(d) = 15*d**2 + 11. Let y(z) = -8*z**2 - 6. What is x*j(g) + 11*y(g)?
2*g**2
Let n(j) = -j + 1. Let s(m) = 28*m - 2. Calculate 2*n(w) + s(w).
26*w
Let u(b) = -18*b + 1. Let m(h) = -19*h + 1. What is 6*m(p) - 7*u(p)?
12*p - 1
Let x(k) = -k**2. Let w be (12/(-16))/((-4)/32). Let d(p) = 1 - p**2 - 1. Suppose -z - 28 = 3*z. Determine w*d(q) + z*x(q).
q**2
Let a = -3431/24 + 143. Let p(k) be the third derivative of -2*k**2 + 0 + 0*k + 1/6*k**3 + a*k**4. Let m(c) = c. Calculate m(i) + p(i).
2*i + 1
Let q(v) = 12*v**2 - 2*v + 2. Let h(p) = p**2. Give -8*h(y) + q(y).
4*y**2 - 2*y + 2
Let v(u) = u**2 - u + 1. Let g(w) = 3*w**2 - 4*w + 2. Let r be 2/13 - 154/(-182). Give r*g(f) - 4*v(f).
-f**2 - 2
Let m(d) = -2*d - 1. Let k(n) = 4*n + 3. What is 4*k(i) + 7*m(i)?
2*i + 5
Let z(r) = r + 2. Let p(y) = -y - 3. Suppose -5*k + 7 + 8 = 0. Suppose k*v - 4*a = 37, -3*v = -2*a - 0*a - 29. Calculate v*z(o) + 4*p(o).
3*o + 2
Let a(t) = 2*t + 8. Let r = -6 - -6. Suppose -20 = 4*b + 4*c, r*b + 3*b = 3*c - 15. Let s(q) = q + 5. Give b*a(h) + 8*s(h).
-2*h
Let w(a) = 2*a**3 + 3*a - 3. Let h(y) be the first derivative of -y**4/4 - 2*y**2 + 4*y - 12. Calculate -3*h(v) - 4*w(v).
-5*v**3
Let a(r) = -46*r - 7. Let q(n) = -31*n - 5. What is -5*a(x) + 7*q(x)?
13*x
Let x(t) = -t - 7. Let s(g) = -5*g + 41. Let u(a) = 3*a - 27. Let d(c) = -5*s(c) - 8*u(c). Determine -5*d(p) - 8*x(p).
3*p + 1
Let h(b) = -15*b**2 - 11*b - 13. Suppose -2*a - 26 = -5*f, 3*a = -f - 0*a + 12. Let v(i) = 8*i**2 + 6*i + 7. Give f*h(t) + 11*v(t).
-2*t**2 - 1
Let a(l) be the third derivative of l**6/120 + l**4/24 + l**3/6 + 39*l**2. Let w(q) = -4*q**3 - 4*q - 7. Give 5*a(v) + w(v).
v**3 + v - 2
Let d(i) = -11*i + 83. Let f(v) = 5*v - 42. What is 3*d(h) + 7*f(h)?
2*h - 45
Let j(x) = -7*x**2 - 6*x. Let d = -41 - -25. Let l be d/3 - (-10)/(-15). Let p(t) be the first derivative of -2*t**3 - 5*t**2/2 - 2. Calculate l*p(i) + 5*j(i).
i**2
Let d(c) = c**3 + c**2 - 2*c - 3. Let l(y) = -y**3 + y**2 - 1. Determine -d(w) + l(w).
-2*w**3 + 2*w + 2
Suppose 0 = -9*y + 14*y + 25. Let n(d) be the first derivative of -d**4 - d**3 + 3*d**2/2 - 1. Let q(h) = 7*h**3 + 5*h**2 - 5*h. Give y*n(s) - 3*q(s).
-s**3
Let z(s) = -4 + 0*s**2 + 57*s - 62*s + 3*s**2. Let p(f) = -f**2 + f + 1. Calculate 5*p(t) + z(t).
-2*t**2 + 1
Let r(y) = 26*y**2 + 130. Let b(p) = 1. Give 130*b(i) - r(i).
-26*i**2
Let m be 4/(-1*4) - 0. Let p(h) = -2*h**3 + 2*h**2 + 2*h + 1. Let b(q) = q**2 + q + 1. What is m*p(n) + 2*b(n)?
2*n**3 + 1
Let h(a) = 17*a - 7. Let x(f) = 5 + 9*f - 10 - 5 + 6. Calculate 6*h(w) - 11*x(w).
3*w + 2
Let x(q) = -27*q**2 - 9*q + 9. Let n(d) = -7*d**2 - 2*d + 2. Calculate -9*n(f) + 2*x(f).
9*f**2
Let n(r) = -r - 1. Let a(h) = -9*h + 12. Determine -a(q) + 6*n(q).
3*q - 18
Let u(w) = -32*w**3 + 40*w**2 + 40. Let t(s) = s**3 - s**2 - 1. Calculate -40*t(d) - u(d).
-8*d**3
Let a(f) = 21*f**3 + 7*f**2 + f - 7. Let q(j) = 7*j**3 + 2*j**2 - 2. Calculate -2*a(w) + 7*q(w).
7*w**3 - 2*w
Let c(u) = -5*u**2 + 11*u. Let r(m) = -4*m**2 + 10*m. Determine -2*c(g) + 3*r(g).
-2*g**2 + 8*g
Let c(m) = -40*m + 30. Let t(d) = -d + 1. Give c(f) - 30*t(f).
-10*f
Let f(m) = -m + 8. Let a be f(6). Suppose 0 = -b + 3, 2*i = -b + 6 + 7. Let s(q) = -9*q - 7. Let w(u) = -2 + 3 + 2 + 4*u. Determine a*s(y) + i*w(y).
2*y + 1
Let w(l) = -l + 7. Let o(r) = 11 - 1 + 0*r - 4*r + 3*r. Give 5*o(x) - 7*w(x).
2*x + 1
Let y(j) = 34*j**2 + 4*j. Let c(t) = 34*t**2 + 3*t. Calculate -4*c(q) + 3*y(q).
-34*q**2
Let j(b) = -3*b + 3. Suppose -4*r - 3*z = -22, 5*z - 6 = 2*r - r. Let s(i) = 4*i - 3. Calculate r*s(n) + 5*j(n).
n + 3
Suppose 15*v - 17*v = -38. Let t = v - 10. Let z(j) = 8*j + 1. Suppose 3*i - 2 + 8 = 0. Let c(f) = 2*f. Determine i*z(a) + t*c(a).
2*a - 2
Let x(q) = q + 2. Let i(g) = -g**3 - 8*g**2 + 9. Let f be i(-8). Suppose -f = 5*t + 1. Let u(a) = -4*a - 8. Give t*u(y) - 9*x(y).
-y - 2
Suppose 4*a - 8 = -4. Let l(c) = -c**2 - c. Let t(b) = b. Give a*t(h) + 2*l(h).
-2*h**2 - h
Let w(d) = -d**2 - 7*d + 5. Suppose -4*m - 3 - 1 = 4*z, -2*m = z - 1. Let x(o) be the first derivative of -o**3/3 - 2*o**2 + 3*o + 1. Give z*w(u) + 5*x(u).
-2*u**2 + u
Let t(c) = -10*c - 20. Let r(d) = 3*d + 7. Give 16*r(y) + 5*t(y).
-2*y + 12
Let u(j) = 2*j + j**2 + 1 + 3*j - 6*j - 2*j**2. Let c(h) = -h**3 - 4*h**2 + 3. Let d be c(-3). Let v(q) = -q**3 + 6*q**2 + 6*q - 6. Give d*u(o) - v(o).
o**3
Let a(y) = -7*y**3 + 7*y**2 + 5*y + 7. Let z(o) = -10*o**3 + 10*o**2 + 7*o + 10. Let k(v) = 4*v + 5. Let s be k(-3). Give s*a(i) + 5*z(i).
-i**3 + i**2 + 1
Let d(k) = -3*k**3 + 3*k - 3. Let r(v) = -16*v**3 + 14*v - 14. Determine 28*d(w) - 6*r(w).
12*w**3
Suppose 0 = 4*k + 2*k - 132. Let a(h) = 7*h**2 + 7*h - 11. Let i(d) = -2*d**2 - 2*d + 3. Let p be (10 - (3 - 1)) + -2. Give k*i