**2
Let f(c) be the third derivative of c**6/30 + c**5/20 + c**4/8 - c**3/2 + 9*c**2. Let b(u) = 36*u**3 + 28*u**2 + 28*u - 28. What is -3*b(q) + 28*f(q)?
4*q**3
Let l(s) = 2*s**3 - 2*s**2 - 2*s - 4. Let n(k) = -2*k**3 + k**2 + 2*k + 3. Let u(z) = z**3 + 14*z**2 - 15*z + 3. Let d be u(-15). Calculate d*l(c) + 4*n(c).
-2*c**3 - 2*c**2 + 2*c
Let f(s) = -4*s**2 + s + 1. Suppose -3*j + 24 = -3*z, -2*j + 4*z + 4 = -10. Suppose 0 = -x - j + 5. Let d(l) = 5*l**2 - 2*l - 1. Determine x*f(p) - 3*d(p).
p**2 + 2*p - 1
Let n(c) = 6*c + 33. Let v(k) = k - 1. Give -n(b) + 4*v(b).
-2*b - 37
Let p(t) = t**2 + t - 6. Let u(g) = -1. Calculate p(i) - 4*u(i).
i**2 + i - 2
Let x(m) = -158*m + 9. Let v(l) = -79*l + 4. What is -9*v(a) + 4*x(a)?
79*a
Let x(z) = -5*z**2 + 2*z - 3. Let w(r) be the third derivative of r**5/15 - r**4/24 + r**3/3 - 5*r**2. Calculate -3*w(j) - 2*x(j).
-2*j**2 - j
Let j(n) = -14*n**2 - 5*n. Let o(l) = 28*l**2 + 9*l. Calculate -11*j(x) - 6*o(x).
-14*x**2 + x
Let a(o) = 57*o + 33. Let c be 1 + 3*(3 + -2). Let l(f) = -7*f - 4. Calculate c*a(y) + 33*l(y).
-3*y
Let x be -1 + 150/22 + 164/902. Let d(s) = -7*s**2 + 8*s - 8. Let w(i) = -i**2 + i - 1. Calculate x*w(p) - d(p).
p**2 - 2*p + 2
Let j(g) = 7*g**2 + 5. Let h(b) = b**2 - 5*b + 13. Let f(d) = 3*d**2 - 4*d + 12. Let m(n) = 5*f(n) - 4*h(n). Determine 8*j(v) - 5*m(v).
v**2
Let g(f) = -3*f + 5. Let o(x) = -x + 1. Let z be (-2)/6*(-4 + (-2 - -12)). Give z*o(q) + g(q).
-q + 3
Let p(o) = 10*o**3 - 24*o**2 + 2*o. Let d(w) = -3*w**3 + 8*w**2 - w. Determine 7*d(q) + 2*p(q).
-q**3 + 8*q**2 - 3*q
Let h(z) = -z + 2 + 3 - 6*z. Suppose 2*y + 3 = y. Let o(p) = 4*p - 3. Calculate y*h(s) - 5*o(s).
s
Let y(b) = -10*b + 6. Let w(s) be the first derivative of s**2 - s - 3. Suppose 0 = -h - 3*p - 5 - 6, -5*p - 23 = 4*h. Give h*y(j) - 11*w(j).
-2*j - 1
Let l(t) = -14*t + 1. Let a(v) = -29*v + 2. Give 3*a(m) - 5*l(m).
-17*m + 1
Let x(u) = -2*u + 15. Let k be 0*(-3)/12 - -5. Suppose -2*y - 21 = k. Let m(s) be the first derivative of -s**2/2 + 7*s - 1. Determine y*m(t) + 6*x(t).
t - 1
Let h(a) = 2*a**3 - 4*a**2 - 3. Let s(m) = m**3 - m**2 - 1. Determine h(x) - 5*s(x).
-3*x**3 + x**2 + 2
Let g(c) = -3*c + 1. Let b(d) = 2*d - 1 + d + d. What is -2*b(q) - 3*g(q)?
q - 1
Let l(q) = -10*q**2 + 5*q + 6. Let i(c) = -5*c**2 + 2*c + 3. Determine -5*i(n) + 2*l(n).
5*n**2 - 3
Let y be 1 - -1 - 1*-2. Suppose 0 = s + 2*s + 42. Let o(m) = -m - 3. Let w(p) = -3*p - 10. What is s*o(n) + y*w(n)?
2*n + 2
Let z(g) = -g + 9. Let f = 16 - 8. Let w = f - 3. Let s(c) = -c - 7. Let v be s(-5). Let j(o) = 4. What is v*z(q) + w*j(q)?
2*q + 2
Let q(m) = -5*m**2 - 16*m + 6. Let c(d) = 0 - 3*d - 3*d + 3*d - d**2 + 1. What is -11*c(g) + 2*q(g)?
g**2 + g + 1
Let m(i) = -21*i**3 - 27*i**2 + 27*i. Let w(u) = 3*u**3 + 4*u**2 - 4*u. Give -4*m(o) - 27*w(o).
3*o**3
Suppose 2*k = -2*y + 2, -5 + 0 = -5*y - 2*k. Let c = 5 - 3. Let q = y - c. Let t(u) = -u - 1. Let v(a) = -2*a**2 - a - 1. Determine q*v(n) + t(n).
2*n**2
Let g(o) = -6*o + 9. Let y(x) = -3*x + 4. Suppose 8*l - 10 = 3*l, 20 = 3*q + 4*l. Give q*g(d) - 9*y(d).
3*d
Let d(t) = -11*t**3 - 7*t**2 + 12*t - 11. Let l(c) = -6*c**3 - 4*c**2 + 6*c - 6. Determine -4*d(y) + 7*l(y).
2*y**3 - 6*y + 2
Let o be 74/5 - 4/(-20). Suppose -c = -4*c - o. Let z(w) = 7*w + 4. Let s(i) be the second derivative of 2*i**3/3 + i**2 - 2*i. Calculate c*s(f) + 3*z(f).
f + 2
Let i(a) = 4*a**2 + 3*a + 3. Let t(z) = 7*z**2 + 5*z + 5. Calculate 5*i(x) - 3*t(x).
-x**2
Let x(d) = -34*d**2 - 3*d - 3. Let j(r) = -851*r**2 - 74*r - 74. Give 3*j(l) - 74*x(l).
-37*l**2
Let l(s) = 3*s + 11. Let f(y) = y + 4. Give -11*f(g) + 4*l(g).
g
Let p(j) = -6*j**2 + 7*j - 7. Let g(q) = q**2 - q + 1. Let f = -22 - -24. Give f*p(d) + 14*g(d).
2*d**2
Let t(n) = n. Suppose -5*s - 2*h - h - 4 = 0, 0 = 3*s + 5*h + 12. Let f(u) = 5*u - 2. Give s*f(z) - 4*t(z).
z - 2
Let z(t) = 4*t**2 - 2. Let y(o) be the first derivative of -o**3 + 2*o + 12. Calculate 6*y(u) + 5*z(u).
2*u**2 + 2
Let k(u) = 5*u**3 + 4*u**2 - 4*u + 6. Let a(f) = -5*f**3 - 5*f**2 + 5*f - 7. Calculate 4*a(o) + 5*k(o).
5*o**3 + 2
Let y(z) = 6*z**2 - 3*z. Let s(t) = 6*t**2 - 4*t. Determine -3*s(m) + 4*y(m).
6*m**2
Let v(i) = 6*i**3 - 2*i**2 - 2*i - 2. Let b(a) be the third derivative of -5*a**6/24 + 3*a**5/20 + 3*a**4/8 + 3*a**3/2 + 17*a**2. What is 2*b(g) + 9*v(g)?
4*g**3
Let s(q) = 24*q**3 - 6. Let t(y) = 5*y**3 - 1. Calculate -3*s(g) + 16*t(g).
8*g**3 + 2
Let o(r) = -r - 1. Let w(x) = 14*x + 8. What is -12*o(p) - w(p)?
-2*p + 4
Let n(m) = -3*m**2 + 4*m - 1. Let l(h) = -2*h**2 + 3*h - 1. What is -6*l(b) + 5*n(b)?
-3*b**2 + 2*b + 1
Let y = -13 - -18. Let v(j) = -7*j**2 + 2*j - 9. Let p(x) = -8*x**2 + 3*x - 10. Let c(q) = y*p(q) - 6*v(q). Let d(o) = 5*o**2 + 8*o + 11. Give 8*c(u) - 3*d(u).
u**2 - 1
Let b(w) = -w**2 - 2*w + 4. Let s(p) = 5 - 6 - 4 + 2*p + p**2. Calculate -6*b(y) - 5*s(y).
y**2 + 2*y + 1
Let u(z) = -99*z**2 + 5. Let t(g) = 20*g**2 - 1. Determine 22*t(k) + 4*u(k).
44*k**2 - 2
Suppose 3*c + 15 = 5*a + 5*c, 0 = -3*c. Let h(w) = -6*w + 3. Let d(v) = 17*v - 8. Suppose 4*g - 22 - 10 = 0. Determine a*d(q) + g*h(q).
3*q
Suppose 14 = -3*s - 2*z - 0*z, -19 = 5*s - z. Let y(f) = -f**3 + 4*f**2 - 4. Let v(p) = p**2 - 1. Determine s*v(b) + y(b).
-b**3
Let m(a) = -9*a**3 + 4*a**2 - 4*a - 2. Let b(g) = g**3 - g**2 + g + 1. Determine 4*b(p) + m(p).
-5*p**3 + 2
Let s(t) = 17*t**2 - 11. Let r(x) = 9*x**2 - 6. Determine 11*r(y) - 6*s(y).
-3*y**2
Let c(p) = -4*p - 4. Let d(g) = 5*g + 4. Let f(m) = 4*c(m) + 3*d(m). Let x(t) = -t - 3. Let b(k) = -3*k + 21. Let w be b(8). Determine w*x(j) + 2*f(j).
j + 1
Let t(p) = -6*p + 6. Let s(c) = 5*c - 6. Determine -7*s(d) - 6*t(d).
d + 6
Let p(q) = 5*q**3 + 2*q**2 - 4*q + 2. Suppose s + 4*s = 5. Suppose -s - 19 = -3*l - 4*r, -r = l - 6. Let f(o) = 4*o**3 + o**2 - 3*o + 2. Give l*f(y) - 3*p(y).
y**3 - 2*y**2 + 2
Let x(p) = -5*p**2 - 2*p - 1. Let t(g) = -4*g**2 - g - 1. What is 6*t(y) - 5*x(y)?
y**2 + 4*y - 1
Let w(i) = 10*i**3 + 6*i**2 - 6. Let s = -41 + 34. Let x(u) = -11*u**3 - 7*u**2 + 7. Determine s*w(l) - 6*x(l).
-4*l**3
Let p(x) = -x - 1. Let f = -89 - -88. Let m(g) = -4*g - 7. Give f*m(c) + 5*p(c).
-c + 2
Let g(o) = 3*o + 3. Suppose 5*d + 6 = 1, -4 = -5*t + 4*d. Suppose t*f + 5*f = -15. Let c(l) = -2*l - 2. Determine f*g(n) - 4*c(n).
-n - 1
Let x(s) = -4*s - 1. Let w(u) be the third derivative of u**5/60 - u**4/24 - u**3/6 + 12*u**2. Give w(n) - x(n).
n**2 + 3*n
Let t(k) = -k**2 + 1. Let o(h) = -3*h**3 - h**2 + h - 2. Give -o(a) - 2*t(a).
3*a**3 + 3*a**2 - a
Let q(i) = 21*i + 2. Let r(n) = 42*n + 4. Determine -13*q(y) + 6*r(y).
-21*y - 2
Let d(p) = -10*p**3 - 3*p**2 + 3*p. Let w(z) = -11*z**3 - 2*z**2 + 2*z. Give 2*d(n) - 3*w(n).
13*n**3
Let g(n) = 54*n**3 - 5*n**2 - 5. Let l(r) = -1755*r**3 + 162*r**2 + 162. Give 162*g(t) + 5*l(t).
-27*t**3
Let n(z) = 3*z + 4. Let o(c) = 2*c + 4. Calculate 5*n(f) - 6*o(f).
3*f - 4
Let u(z) = 3*z**2 + z - 1. Let x be u(1). Let v = 6 - 4. Let q(r) = v*r - 11 + 11. Let w(m) = m. What is x*q(s) - 4*w(s)?
2*s
Let a(k) = -k - 3. Let f(n) be the first derivative of n**2/2 + 9*n - 1. Let l be f(-8). Let x(z) = -1. Determine l*x(r) - a(r).
r + 2
Let c be 132/(-48) - 2/8. Let g(w) = 1. Let a(f) = 3 + 0*f - 2*f**2 + 0*f. Give c*g(v) + a(v).
-2*v**2
Let k(y) = y**2 + y. Let a(p) = 5*p**2 + 4*p - 2. What is -a(o) + 3*k(o)?
-2*o**2 - o + 2
Let j(l) = -7*l - 3. Let c(i) = 13*i + 5. Calculate -4*c(w) - 7*j(w).
-3*w + 1
Let m = 81 - 76. Let h(w) = -2*w**2 + 7. Let i(r) = 6*r**2 - 22. What is m*i(t) + 16*h(t)?
-2*t**2 + 2
Let z(g) = -10 + 45*g - 16*g - 12*g - 19*g. Let w(m) = m. Let h be w(5). Let u(p) = p + 4. Give h*z(n) + 12*u(n).
2*n - 2
Let u(c) = -c + 1. Let h(d) = 21*d**2 + 7*d - 4. Determine h(r) + 4*u(r).
21*r**2 + 3*r
Let w(t) = -10*t**2 + 16. Let h(s) = 30*s**2 - 48. Let a(d) = -2*h(d) - 7*w(d). Let o(v) = 68 - 33 - 3*v**2 - 30. Calculate -5*a(j) - 16*o(j).
-2*j**2
Let d(y) = -3*y**2 + y - 1. Let q(l) = 2 + 6 + 5 - 4*l**2 + l - 14. What is -7*d(k) + 5*q(k)?
k**2 - 2*k + 2
Let v(g) be the first derivative of -g**3/3 - 3*g**2 - 48. Let l(d) = 4*d**2 + 18*d. Determine 2*l(r) + 7*v(r).
r**2 - 6*r
Let w(v) = -v**3 + v**2 + v + 1. Let b(i) = -5*i**3 + 7*i + 2 - 3*i + 2 + 4*i**2. Give 5*b(c) - 20*w(c).
-5*c**3
Let y(k) = 4*k**2 +