h).
-2*h - 2
Let m(d) be the third derivative of -d**5/60 + 5*d**4/8 + 5*d**3/6 - 2*d**2. Let j(l) be the first derivative of m(l). Let n(h) = h - 7. Give -6*j(r) - 13*n(r).
-r + 1
Let l(k) = 8*k**3 - 3*k**2 - 5*k - 5. Let h(y) = -y**3 + y**2 + y + 1. Suppose b - 4*f + 9 = -2*f, f - 4 = 0. Determine b*l(a) - 5*h(a).
-3*a**3 - 2*a**2
Let w(h) be the first derivative of -h**2/2 - 4*h + 7. Let c(f) = -2*f - 5. What is -2*c(p) + 3*w(p)?
p - 2
Let z(d) = d + 1. Let m(g) = 4*g + 3. Determine 2*m(v) - 9*z(v).
-v - 3
Let b(a) = 3*a + 2. Let d(q) = -3*q + 16 - 7 + 5*q - 6. Calculate 3*b(w) - 2*d(w).
5*w
Let v(q) = 5*q**2 - 2*q. Let j(d) = d**2 - d. Suppose 3*a + 2*a = -10. Let c be (-4 + 0/1)*a. Suppose 0 = 2*o + c - 0. Determine o*j(p) + v(p).
p**2 + 2*p
Let w(x) = 5*x**2 - 4*x. Let o(b) = -3*b**2 - 2*b + 2. Let r(s) = s**2 + s - 1. Let v(c) = 2*o(c) + 5*r(c). Give -4*v(n) - w(n).
-n**2 + 4
Let h(u) = -3*u**2 - 4*u - 11. Let b(j) = -2*j**2 - 2*j - 6. Give 5*b(l) - 3*h(l).
-l**2 + 2*l + 3
Let c(t) = -3*t - 25. Let p(d) = 3*d + 24. Give 5*c(f) + 6*p(f).
3*f + 19
Let o(d) = -6*d - 6. Let q(a) = -5*a - 5. Calculate 6*o(g) - 7*q(g).
-g - 1
Let r(g) = 2*g**2 + 9*g + 15. Let c(f) = f**2 + 4*f + 7. Give -13*c(y) + 6*r(y).
-y**2 + 2*y - 1
Let n(a) = -1. Let s(j) = -2*j - 14. What is -84*n(t) + 6*s(t)?
-12*t
Let w(v) = 15*v - 3. Let u(y) = 8*y - 1. What is -7*u(o) + 3*w(o)?
-11*o - 2
Let h(q) = 2*q**3 + 5*q**2 + 8*q + 7. Let w(j) be the third derivative of j**5/60 + j**4/24 + j**3/6 - 53*j**2. What is -h(x) + 5*w(x)?
-2*x**3 - 3*x - 2
Let t(b) = -8*b**3 + 6*b**2 - 6. Let v(y) = -3*y**3 + 2*y**2 - 2. What is 2*t(o) - 7*v(o)?
5*o**3 - 2*o**2 + 2
Let u(k) = k**3 - k**2 + 1. Let y(z) = 3*z**3 + z**2 - 3*z + 1. Give -u(t) + y(t).
2*t**3 + 2*t**2 - 3*t
Let y(m) = 5*m**3 - 3*m + 3. Let l = -10 + 7. Let r(s) = -s**3 + s - 1. Give l*r(k) - y(k).
-2*k**3
Let o(t) = -t**3 + 3*t + 1. Let u(h) = -h**3 + 2*h + 1. Suppose 2*l = 6*l. Suppose 5*r + l*r - 35 = 0. Suppose 0 = -s - 3 + r. What is s*u(z) - 3*o(z)?
-z**3 - z + 1
Let v(x) = -2*x**2 + 2*x. Let i(b) = -3*b**2 - 4*b. Let n(k) = -k**2 - k. Let z(f) = -4*i(f) + 14*n(f). Calculate 2*v(o) - 3*z(o).
2*o**2 - 2*o
Let g(w) be the first derivative of -2*w**2 + 2*w - 1. Suppose -20*v + 19*v + 4 = 0. Let s(m) = -2*m + m + 6*m - 1 - 1. Determine v*g(t) + 3*s(t).
-t + 2
Let q(l) = -3. Suppose -4*t + 2 = 4*p + 6, 4*p - 12 = 4*t. Suppose s = 3 + p. Let k(c) = c + 4. Calculate s*q(z) + 3*k(z).
3*z
Let m(s) = 8*s**2 + 12*s + 12. Let k(d) = -3*d**2 - 5*d - 5. What is 12*k(o) + 5*m(o)?
4*o**2
Let y(k) = 87*k**3 + 5 - 2 - 82*k**3. Let f(b) = -24*b**3 - 14. Suppose 15 = 3*h + 3*w, 0 = -2*h + w + 2*w. Give h*f(z) + 14*y(z).
-2*z**3
Let b(o) = 11*o**3 - 3*o**2 - 3*o + 3. Let s(j) = 77*j**3 - 22*j**2 - 22*j + 22. Determine -22*b(h) + 3*s(h).
-11*h**3
Let w(q) = 17*q**2 + 9 + 7 - 7 - 21*q - 8*q**3. Let z(u) = 2*u**3 - 4*u**2 + 5*u - 2. Determine -2*w(o) - 9*z(o).
-2*o**3 + 2*o**2 - 3*o
Let w(q) = -2*q**3 + 6*q**2 + 5*q + 1. Let r be (3 + 3)*4/(-6). Let y(k) = 2*k**3 - 5*k**2 - 4*k - 1. Calculate r*w(f) - 5*y(f).
-2*f**3 + f**2 + 1
Let h(i) = -3*i - 3. Let j be h(-2). Let q = j + -8. Let x(k) = -2*k**2 + 3 - 1 + 0*k**2. Let w(d) = 4*d**2 - 4. Determine q*x(g) - 2*w(g).
2*g**2 - 2
Let f(d) = -3*d**2 - d + 1. Let r = 37 - 33. Let o be (-4)/10 - 176/10. Let w(p) = -13*p**2 - 4*p + 5. Determine o*f(g) + r*w(g).
2*g**2 + 2*g + 2
Let p(x) = -x - 2. Let g(q) = -q - 2. Calculate -5*g(s) + 4*p(s).
s + 2
Let c(u) = 16*u**3 - 3*u**2 - 3*u - 3. Let h(f) = 17*f**3 - 2*f**2 - 2*f - 2. Calculate -2*c(o) + 3*h(o).
19*o**3
Suppose -18*v + 19*v = -21. Let o(s) = -2. Let g(y) = y + 4. Let u(b) = -3*g(b) - 7*o(b). Let m(j) = 10*j - 7. Determine v*u(k) - 6*m(k).
3*k
Let o(l) = 5*l**2 + 11*l + 21. Let y(i) = i**2 + 2*i + 4. Let d be 8 + (7 - 0)*1 + -4. Determine d*y(v) - 2*o(v).
v**2 + 2
Let c(y) = 4*y**2 + 3*y - 3. Let d(p) = 5*p + 9*p**2 - 5 - 2*p**2 + 0*p**2. Give 5*c(r) - 3*d(r).
-r**2
Let l(x) = 9*x**3 - 5*x**2 - 5*x - 5. Let a = 30 - 22. Let h(s) = -8*s + 14*s**3 - 8*s**2 - a - 5*s**3 + 5*s**3. Calculate 5*h(j) - 8*l(j).
-2*j**3
Let n(k) = k**3 + 3*k**2 + 5*k + 3. Let w be n(-2). Let b(a) = 4*a - 3. Let p(z) = -2*z + 2. Give w*b(t) - 5*p(t).
-2*t - 1
Let t(r) = 2*r**3 - 6*r**2 + 2*r + 6. Let o(m) = -1. Determine 6*o(u) + t(u).
2*u**3 - 6*u**2 + 2*u
Let z(o) = -23*o**2. Let p(j) = 2*j - 9. Let w be p(6). Suppose -2*c + w = -1. Let m(i) = -c + 2 - 4*i**2. Determine 34*m(f) - 6*z(f).
2*f**2
Let j(l) = -44*l**2 - 3*l - 2. Let b(r) = r + 1. What is 3*b(x) + j(x)?
-44*x**2 + 1
Let r(o) = -o**2 - o. Let d(g) = -g**3 - 6*g**2 - 8*g + 6. Let v(i) = d(i) - 6*r(i). Let x(k) = -4*k**3 + 2*k - 7 + 5*k**3 + 2. What is -5*v(a) - 6*x(a)?
-a**3 - 2*a
Let y(f) = 20*f + 11. Let w(k) = 10*k + 6. What is 11*w(p) - 6*y(p)?
-10*p
Suppose 0*g = g. Suppose z + g*z = -1. Let l(t) = -t**2. Let u(d) = -4*d**2 + d. Give z*u(n) + 5*l(n).
-n**2 - n
Let x(z) = -z**2 - z. Let j(n) = -48*n**2 - 36*n. Calculate -j(y) + 36*x(y).
12*y**2
Let t = -41 + 34. Let v(s) = -5 + 5*s**3 - 7*s**2 + 7*s + 5. Let b(u) = 2*u**3 - 3*u**2 + 3*u. Calculate t*b(l) + 3*v(l).
l**3
Let r(p) = p - 8. Let s(a) = -4*a + 41. Give 11*r(b) + 2*s(b).
3*b - 6
Let z(m) = 14*m**2 + 8*m + 11. Let r(j) = -3*j - 9*j**2 + 0*j**2 + 4*j**2 - 4. Let c = 7 - 3. Let i(b) = -b**2 + 2*b - 3. Let v be i(c). Give v*r(w) - 4*z(w).
-w**2 + w
Let k(q) = -5*q**2 - 6*q + 8. Let s(t) = 4*t**2 - 5 + 11*t - 12 + 2 + 5*t**2. Determine -11*k(i) - 6*s(i).
i**2 + 2
Let a(l) = 5*l**3 - 5*l**2 - 8*l - 6. Let m be (72/(-4))/(-2) + -3. Let g(c) = -9*c**3 + 9*c**2 + 15*c + 11. Determine m*g(y) + 11*a(y).
y**3 - y**2 + 2*y
Let q(r) = r - 1. Let v(w) = 1 + 1 - 4 + 2*w. Let y(a) = -3*a**2 + a. Let j be y(-1). Determine j*q(h) + v(h).
-2*h + 2
Let k(g) = -3 - g + 3 + 2*g. Let r(u) = -u - 1. Give -k(m) - 3*r(m).
2*m + 3
Let u(y) = -y**2 + 1. Let l(r) = -33*r**2 + 2. Calculate -l(i) + 2*u(i).
31*i**2
Suppose -3*d = -8*d - 10. Let w(p) = p**3 - 2*p**2 - 2*p - 2. Let k(t) be the first derivative of -t**4/4 + t**3 + 3*t**2/2 + 2*t - 1. Give d*k(u) - 3*w(u).
-u**3 + 2
Suppose -3*r - 6 + 24 = 0. Let a be (-126)/28*4/r. Let n(t) = -2*t**2 - 5*t - 5. Let f(u) = -u**2 - 4*u - 4. What is a*n(g) + 4*f(g)?
2*g**2 - g - 1
Let x(c) = 4*c - 6*c - 3 + 5. Let f(u) = -6*u + 6. Let r = 40 - 30. What is r*x(g) - 3*f(g)?
-2*g + 2
Suppose -2*y + 3 = -1. Let k(r) = 0*r**2 - 3*r + r + 3*r**y - r**3 + 7*r. Let d(u) = 4*u**3 - 14*u**2 - 24*u. Calculate -3*d(w) - 14*k(w).
2*w**3 + 2*w
Let y(i) = 165*i**2. Let m(v) = 11*v**2. What is 44*m(d) - 3*y(d)?
-11*d**2
Let u(y) = -y**2 + y + 1. Let w(b) be the third derivative of b**5/30 - b**4/8 - b**3/2 - 5*b**2 + 6*b. Suppose -m = m - 16. Give m*u(r) + 3*w(r).
-2*r**2 - r - 1
Let u(f) = -f**2. Let d(z) = 5*z**2 + z - 1. Let m = -6 + 0. Let r = m - -8. Calculate r*d(y) + 9*u(y).
y**2 + 2*y - 2
Suppose 3*m = 4*w - 7, 28 = 4*m + 8*w - 4*w. Let o(a) = 4*a**3 + 4*a + 2. Let u(j) = -j**3 - j - 1. Determine m*u(n) + o(n).
n**3 + n - 1
Let z(y) = -11*y - 2. Let g(m) = -m. Let s(x) = x - 1. Let v(k) = -6*g(k) - s(k). Suppose -35 = -10*w + 15*w. Give w*v(i) - 3*z(i).
-2*i - 1
Let a(o) = 7*o**2 - 4*o - 15. Let k(z) = -6*z**2 + 3*z + 15. What is -5*a(w) - 6*k(w)?
w**2 + 2*w - 15
Let j = -5 + 7. Suppose -12 = -w - j*w. Let z(r) = 4 - 4*r - r + w*r. Let b(f) = -f + 3. Give 4*b(v) - 3*z(v).
-v
Let h(f) = -4*f**2 - 17*f - 3. Let l(w) = -17*w**2 - 68*w - 13. Determine -9*h(c) + 2*l(c).
2*c**2 + 17*c + 1
Let l(o) = 4*o**2 - 5*o - 4. Let v(g) be the second derivative of g**4/4 - 2*g**3/3 - 3*g**2/2 + 3*g. Let m = 6 + -12. Let k = -4 - -9. Give k*l(c) + m*v(c).
2*c**2 - c - 2
Let c(o) = o + o - 48 + 45. Let l(i) = -5*i + 5. What is -5*c(k) - 3*l(k)?
5*k
Let s(c) = 3*c - 5. Suppose -2*f - 10 = -0*f - 2*m, -2*f = -m + 10. Let z(a) = 7*a - 11. Give f*s(u) + 2*z(u).
-u + 3
Let h(z) = -z. Let c(r) = -3*r - 7. Let u(y) = -c(y) - h(y). Let x(i) = 5*i + 8. Let l = 6 + 0. Determine l*u(k) - 5*x(k).
-k + 2
Let d(t) = 13*t + 3. Let a = 4 - 0. Suppose 0 = -a*g - g. Let r(y) = -3*y - y - 1 + g*y. What is 2*d(v) + 7*r(v)?
-2*v - 1
Let j(i) = i**2 - 1. Let k(q) = -q**3 + 6*q**2 - 6. Suppose -4*y = -5*b - 26, 3*b + 4*y = 2*b - 10. Give b*j(c) + k(c).
-c**3
Let s(d) = -30*d.