 Determine 4*g(t) + 5*l(t).
-t**2 + 29
Let m(s) = 2*s - 1. Let a(n) be the third derivative of -7*n**4/24 + 2*n**3/3 + 4*n**2. Calculate 6*a(g) + 22*m(g).
2*g + 2
Let y(c) = 6*c**2 + 9*c + 9. Let l(v) = 20*v**2 + 15*v + 15. Let f(p) = -7*p**2 - 5*p - 5. Let r(o) = -11*f(o) - 4*l(o). What is -5*r(a) - 3*y(a)?
-3*a**2 - 2*a - 2
Let j(f) = 4*f - 1. Let t(y) = 9*y - 1. Determine 5*j(g) - 2*t(g).
2*g - 3
Let v(j) = j + 3. Let x(p) = -1. Let g(m) = v(m) + 4*x(m). Let r(k) = -k + 1. What is -4*g(b) - 3*r(b)?
-b + 1
Let h(b) = 8*b + 1. Let k(d) = 17*d + 1. Determine 13*h(s) - 6*k(s).
2*s + 7
Let g be ((-4)/(-3))/(6/(-27)). Let k(j) = -4*j**3 - 15*j**2 + 13*j + 13. Let s(b) = -2*b**3 - 7*b**2 + 6*b + 6. Give g*k(p) + 13*s(p).
-2*p**3 - p**2
Let m(v) be the first derivative of -v**4 + v**3 - 3*v - 13. Let i(j) = 9*j**3 - 7*j**2 + 7. Determine 6*i(l) + 14*m(l).
-2*l**3
Suppose -2*g = -2*a + 5*a + 10, 14 = -a + 2*g. Let x(j) = -7*j**3 - 7*j + 4. Let y(r) = -4*r**3 - 4*r + 2. Determine a*x(n) + 11*y(n).
-2*n**3 - 2*n - 2
Let o(q) = -q**2. Let k(u) = -u**2 + u**2 + 0*u**2 - 3*u**2 - 2. Suppose 0 = -6*p + p - 4*j + 5, 5*p - 5 = 4*j. Give p*k(x) - 4*o(x).
x**2 - 2
Let j(t) = 1 + 2 - 2*t - 4. Let x(y) = 2*y + 1 - 2*y + 3*y. Suppose -9*z + 15 = 3*w - 6*z, -5*w - z = -21. What is w*j(v) + 3*x(v)?
v - 1
Let d be ((-9)/2)/(4/(-16)). Let k(p) = -22*p**3 - d*p**2 + 18*p**2 - 16*p. Let v(m) = 7*m**3 + 5*m. Calculate 5*k(q) + 16*v(q).
2*q**3
Let m(g) be the first derivative of g**2/2 + 51. Let y(w) = -2*w + 2. What is -5*m(z) - y(z)?
-3*z - 2
Let g(r) = -80*r - 6. Let x(v) = -159*v - 13. Determine -13*g(t) + 6*x(t).
86*t
Let z(p) = -3 + 1 + 0*p + p. Let a(w) = 2*w - 4. Let b be 0/(1 + 0 + 0). Suppose b = -r + 5*r + 8. Determine r*a(s) + 5*z(s).
s - 2
Let y(h) = -2*h + 12. Let f(d) = -1. Let k = -3 + 4. Suppose 4 = -w + 16. Give k*y(s) + w*f(s).
-2*s
Let t(k) = -5*k - 8*k + 2 - 2*k + 12*k + 4*k**2. Let c be 12/5 - 2/5. Let i = 0 - 3. Let u(z) = 3*z**2 - 2*z + 2. Calculate c*t(p) + i*u(p).
-p**2 - 2
Let l(f) = -2*f**3 - 3*f**2 + 2*f - 5. Let w(j) = -29*j**2 + 7 + 2*j**3 + 33*j**2 - 2*j - 1. Determine -6*l(t) - 5*w(t).
2*t**3 - 2*t**2 - 2*t
Let v(r) = 6*r**3 - 10*r**2 + 10*r - 10. Let w(b) be the second derivative of -b**5/10 + b**4/4 - b**3/2 + 3*b**2/2 - 4*b. Determine 3*v(n) + 10*w(n).
-2*n**3
Let l(z) = 20*z**2 - 17*z + 3. Let c be 2 - 3 - (2 + 3). Let s(j) = 7*j**2 - 6*j + 1. Determine c*l(r) + 17*s(r).
-r**2 - 1
Let a(f) be the second derivative of f**4/12 - f**3/6 + f**2/2 - 5*f. Let y(w) = -2*w**2 + 4*w - 5. Let s = 8 - 11. Calculate s*a(j) - y(j).
-j**2 - j + 2
Suppose -3*a + 63 = -2*y - 27, 0 = -2*a + 2*y + 58. Let u = a - 16. Let r(c) = 4*c - 5*c - 16 - 5*c. Let k(t) = 2*t + 5. Calculate u*k(x) + 5*r(x).
2*x
Let o(s) = 16*s**3 + 4*s**2 - 10*s - 10. Let t(a) = 5*a**3 + a**2 - 3*a - 3. Let w(l) = -8*l - 29. Let z be w(-4). Give z*o(i) - 10*t(i).
-2*i**3 + 2*i**2
Let y(g) = g. Let n(j) = 0*j + 3*j - 2*j. Let z = 2 - -1. Suppose z*m + w - 19 = 0, 0 = 5*m - w + 2*w - 31. Determine m*y(d) - 4*n(d).
2*d
Let m = -5 + 3. Let f(w) = w**2 + 3*w + 2. Let x(g) be the first derivative of -2 + g + 1/3*g**3 + g**2. Give m*f(n) + 3*x(n).
n**2 - 1
Let o(m) = 10*m**3 - 22*m**2 + 12*m + 12. Let g(f) = 4*f**3 - 9*f**2 + 5*f + 5. Let t = 27 - 39. Give t*g(k) + 5*o(k).
2*k**3 - 2*k**2
Let m(y) = -y**3 + y + 1. Let o(u) = 48*u**3 - 20*u - 20. Calculate 20*m(r) + o(r).
28*r**3
Let f = -49 + 44. Let u(m) = 5*m - 6. Let s(b) = 6*b - 7. What is f*u(j) + 4*s(j)?
-j + 2
Let f(y) be the second derivative of -y**3 - 2*y**2 + 20*y. Let a be 4/18 - 76/18. Let h(w) = -7*w - 5. What is a*h(v) + 5*f(v)?
-2*v
Let l(i) = i - 6. Let m(u) = -3 + 0*u + u - 2. Suppose -2*f + 10 = 2. Determine f*m(j) - 3*l(j).
j - 2
Let k(n) = -n**3 - 20*n**2 + 2*n + 39. Let l be k(-20). Let p(v) = 8*v - 2 - 1 + 8. Let x(y) = -y + 4 + 0*y - 5. Calculate l*p(t) - 6*x(t).
-2*t + 1
Let b(c) = 12. Let z(d) = d. Calculate -b(v) + 5*z(v).
5*v - 12
Let y(t) = 8*t - 4. Let p(h) = 17*h - 9. What is 4*p(z) - 9*y(z)?
-4*z
Let t(h) = -55*h + 11. Let b(g) = 28*g - 6. Determine -11*b(v) - 6*t(v).
22*v
Let j(u) = -3*u**3 - 4*u**2 + 2*u + 3. Let n(l) = 7*l**3 + 8*l**2 - 5*l - 6. Give 9*j(d) + 4*n(d).
d**3 - 4*d**2 - 2*d + 3
Let v(a) be the first derivative of a**4/4 + 5*a**3/3 - 2*a**2 + 2*a - 8. Let y(h) = 2*h**3 + 9*h**2 - 7*h + 4. What is -7*v(u) + 4*y(u)?
u**3 + u**2 + 2
Let y(i) = i**2 - 12*i - 11. Let l(q) = -q - 7. Let u(j) = j + 6. Let c(f) = 5*l(f) + 6*u(f). Determine 22*c(p) + 2*y(p).
2*p**2 - 2*p
Let c(g) = 5*g**2 - 11*g + 2. Let a(h) = -h**2 - h - 1. Give 3*a(o) + c(o).
2*o**2 - 14*o - 1
Let c(t) = -2*t**2 - t. Let z(b) be the first derivative of -b + 17. Calculate -c(f) - 2*z(f).
2*f**2 + f + 2
Let x(w) = w**3 - 3*w**2 - w - 1. Let b be x(3). Let u(d) = 6*d - 6. Let i(y) = -5*y + 5. Give b*u(k) - 5*i(k).
k - 1
Let p(u) = u**3 - u**2 + 1. Let n(f) = 2*f**3 + f**2 + 4. Determine -n(w) + 4*p(w).
2*w**3 - 5*w**2
Let u(g) = -5*g. Let m(n) = n. Calculate 6*m(p) + u(p).
p
Let g(s) = -2*s**2 + s - 4. Let l(y) = 11*y - 1. Let d(n) = 2*n. Let z(o) = -5*d(o) + l(o). Give -g(a) + 3*z(a).
2*a**2 + 2*a + 1
Let a(z) = -21*z**2 + 3. Let o(d) = 41*d**2 - 7. Determine 5*a(v) + 2*o(v).
-23*v**2 + 1
Let t(f) = -f + 3. Let m(u) = 0 - 3*u + 4 + 2*u. Suppose -x = -2*i + 18, 3*x + 34 = 4*i + 2*x. Let d = -6 + i. Give d*m(w) - 3*t(w).
w - 1
Let d(h) = 6*h**3 + 13*h**2 - 13*h. Let n(t) = 2*t**3 - 3*t**3 + 2*t + 14*t**2 - 12*t**2 - 4*t**2. Calculate 6*d(a) + 39*n(a).
-3*a**3
Let l(i) = -i**3 + 2*i + 2. Let n(q) = -6*q - 2 + 2*q + 1 + 3*q. Give -l(b) - 2*n(b).
b**3
Let n(f) = 2*f + 1. Let g(q) = -q + 15 + 12 - 28. What is 2*g(i) + 2*n(i)?
2*i
Let z(l) = l**2 - l - 1. Suppose 3*r + 9 = -0*r, 0 = -2*b + r - 29. Let j = b + 15. Let m(t) = -t**2 + 4*t + 4. Calculate j*m(p) - 4*z(p).
-3*p**2
Let a = -23 - -71. Let q be a/(-28)*7/(-2). Let s(y) = -6*y**3 - 17*y**2 - 17. Let n(b) = b**3 + 3*b**2 + 3. Give q*s(d) + 34*n(d).
-2*d**3
Let d(r) = -r + 1. Let x be d(-8). Let j(z) = x - z - 7*z**2 + 15*z**2 - 4 + 2*z. Let v(s) = 15*s**2 + 2*s + 9. Give -11*j(f) + 6*v(f).
2*f**2 + f - 1
Let u(t) = 8732*t**2 - 370*t - 370. Let n(g) = 71*g**2 - 3*g - 3. Give 370*n(p) - 3*u(p).
74*p**2
Let p(x) = x**2 + 1. Let i(f) = 2*f**2 + 2*f + 3. Let g(r) = 2*i(r) - 6*p(r). Let k be 6/((-5)/(45/6)). Let z(n) = n**3 + 9*n**2 - 17*n. Give k*g(a) - 2*z(a).
-2*a**3 - 2*a
Let q(m) = m**2 - 1. Let f(u) = -4*u**2 - 5*u + 12. Let k(g) = -f(g) - 6*q(g). Let v(w) = 2*w**2 - 6*w + 7. Give 6*k(t) + 5*v(t).
-2*t**2 - 1
Let z(n) = -4*n**3 + 3*n**2 - 3*n - 1. Let o(l) = -l**3 - l**2 + l + 1. Give -o(v) - z(v).
5*v**3 - 2*v**2 + 2*v
Let v(b) = 1. Let n(p) = -2*p - 1. Let r be n(-1). Let q(m) = -2*m + 3. Let j(a) = -4*a. Let f be j(1). Calculate f*v(d) + r*q(d).
-2*d - 1
Let w(c) = -21*c**2 + 13*c - 11. Let u(m) = 10*m**2 - 6*m + 5. Give 13*u(k) + 6*w(k).
4*k**2 - 1
Let r be 22/5 - 2/5. Suppose -5*l + 27 = 5*o - 18, r*l - 26 = -3*o. Let t(v) = v**2 + v + 1. Let s(f) = -8*f**2 - 10*f - 10. Calculate o*t(w) + s(w).
2*w**2
Let d(w) = -64*w - 14. Let x(k) = -13*k - 3. Give 6*d(z) - 28*x(z).
-20*z
Let n(v) = v. Let c(f) = 3*f - 13. Determine -c(j) + 4*n(j).
j + 13
Let j(w) = -w**2 + 5*w - 5. Let x(d) = -d**3 + 4*d**2 - 3*d + 1. Let h be x(2). Let k = h - 2. Let i(u) = -u + 1. Give k*j(n) + 5*i(n).
-n**2
Let f(r) be the first derivative of r + 2. Let g(w) = 2*w**2 + w. Suppose -12*i - 5 = -17*i. Determine i*g(q) - f(q).
2*q**2 + q - 1
Let p(r) = 4*r**2 - 5*r - 1. Let u(k) = 7*k**2 - 9*k - 3. Determine 5*p(o) - 3*u(o).
-o**2 + 2*o + 4
Let c(l) = -l + 1. Let j(u) = -28*u + 16. Calculate -48*c(q) + 3*j(q).
-36*q
Let l(c) = -2*c + 32. Let g(k) = 6*k - 95. Determine 3*g(b) + 8*l(b).
2*b - 29
Let q(u) = -2*u + 17. Let f be q(7). Let c(p) = -p**2 + 3*p + 5. Let a(r) = r + 1. What is f*a(w) - c(w)?
w**2 - 2
Suppose -2*j + 20 = 2*j. Let d(u) = 0*u**2 + u**3 + 2 + 4*u**2 + u**3. Let k(z) = 0*z**2 + 2*z**2 - 3*z**2. What is j*k(x) + d(x)?
2*x**3 - x**2 + 2
Let a(i) = -66*i**3 + 44*i. Let u(n) = n**3 - n. Give -a(j) - 44*u(j).
22*j**3
Let b(k) = 6*k - 4. Let h(t) = -t**3 + t**2 - 2*t - 2. Let o be h(-1). Let a(q) = -3*q + 2. Calculate o*b(z) + 5*a(z).
-3*z + 2
Let y(k) = 3*k**2 + 2*k - 7. Suppose 2*j + 35 = 3