*t
Let t(m) be the third derivative of -m**4/24 - m**3 - 3*m**2. Let z(o) = -2. What is -2*t(w) + 7*z(w)?
2*w - 2
Let h(t) = 5*t. Let i(n) = -n. Determine h(g) + 6*i(g).
-g
Let f(w) = -w**2 - w - 1. Let g(m) = 6*m**2 + 14*m + 14. Calculate 42*f(a) + 3*g(a).
-24*a**2
Suppose -7*m = -12*m + 5. Let q(l) = 24*l**2 + 20*l + 20. Let b(f) = -f**2 - f - 1. What is m*q(c) + 20*b(c)?
4*c**2
Let l(n) = 3*n**2 - 7*n + 2. Let j(p) = -p**2 + 3*p - 1. Suppose 0 = -3*w - 2*z + 8, 0 = -w + 4*z - 5*z + 2. Calculate w*l(r) + 10*j(r).
2*r**2 + 2*r - 2
Let h(r) = 2*r - 49. Let p(z) = z - 24. Calculate -2*h(k) + 5*p(k).
k - 22
Let x(u) = -22*u + 2. Let z(m) = m - 1. Determine -x(d) - 4*z(d).
18*d + 2
Let x(y) = y**3 + 5*y - 4. Let f(z) = -z**3 + 3*z**2 - 4*z + 5. Let t be f(2). Let v(k) = k - 1. What is t*x(w) - 4*v(w)?
w**3 + w
Let u(p) = 2*p**3 - p**2 + 2*p - 1. Let o = 142 - 143. Let w(g) = g**3 + g**2 + 1 + 0 - 2*g**3. Give o*w(c) - u(c).
-c**3 - 2*c
Let s(c) = -11*c**2 - 5*c. Let p(m) = 6*m**2 + 3*m. Suppose -34*o = -32*o - 6. Give o*s(w) + 5*p(w).
-3*w**2
Let b(k) = 5*k - 9. Suppose h = 6*t - 2*t - 24, 4*t = 3*h + 24. Let d(o) = -o + 1. Calculate t*d(v) + b(v).
-v - 3
Let p(l) = -l**2 - 5*l + 5. Let q(g) = g**2 + 4*g - 4. Let o = -20 - -22. Suppose 0*v + 4*u = v - 10, -o*v - 3*u - 13 = 0. Give v*p(b) - 3*q(b).
-b**2 - 2*b + 2
Suppose -2*n + 26 = -4*n. Let f = -19 - n. Suppose 1 - 4 = -3*x. Let q(t) = 7*t**3 - 4*t**2 - 8*t + 6. Let g(p) = p**3 - p**2 - p + 1. Give f*g(a) + x*q(a).
a**3 + 2*a**2 - 2*a
Let y(v) be the third derivative of -v**4/3 + v**3/2 - 24*v**2. Let w(t) = -15*t + 5. Calculate 3*w(m) - 5*y(m).
-5*m
Let c(f) = f - 4. Let l(i) = -4. Give 4*c(q) - 4*l(q).
4*q
Suppose -41 = 5*w - 4*t, -6*w - 5*t - 41 = -2*w. Let y(z) = -z - 2. Let v(f) = 4*f + 9. What is w*y(p) - 2*v(p)?
p
Let n(v) = -2*v**3 + 3*v. Let g = -4 + 7. Let m(w) = -5*w**g - 3*w - 2*w + 12*w. What is -6*m(x) + 14*n(x)?
2*x**3
Let y(n) = -n**3 - n**2 + 1. Let w(h) = 4*h**3 - h**2 - 1. What is -w(t) - y(t)?
-3*t**3 + 2*t**2
Suppose -j = 2 + 1. Let i(k) = k**2 + 3*k - 3. Let z(r) = 8*r**2 + 28*r - 28. What is j*z(s) + 28*i(s)?
4*s**2
Let k(m) = -10*m**3 + 6*m**2 + 6*m + 9. Let q(n) = -9*n**3 + 5*n**2 + 5*n + 8. Give -5*k(x) + 6*q(x).
-4*x**3 + 3
Let a(u) be the second derivative of -u**3/3 - u**2 + 15*u. Let i(m) = 2*m + 2. Determine -2*a(o) - 3*i(o).
-2*o - 2
Let b(s) = 4*s**2 + 2*s. Let d(p) = 8*p**2 + 5*p. Let k = 35 + -30. Give k*b(a) - 2*d(a).
4*a**2
Suppose 7*v = -4*f + 2*v - 13, -12 = -4*v. Let r(p) = -9*p**3 - 7*p - 11. Let s(z) = -5*z**3 - 4*z - 6. What is f*s(a) + 4*r(a)?
-a**3 - 2
Let q(b) = 7*b**2 + 3*b + 7. Let d(f) = -20*f**2 - 9*f - 20. Determine -6*d(t) - 17*q(t).
t**2 + 3*t + 1
Let v(q) = -9*q**2 + 4*q + 4. Let i(j) = -j**2 - j - 1. Determine -4*i(m) - v(m).
13*m**2
Let o(c) = -c**3 + 10*c**2 + c - 5. Let d(k) = -k**3 + 10*k**2 + 2*k - 6. Give 3*d(r) - 4*o(r).
r**3 - 10*r**2 + 2*r + 2
Suppose -2*k + 13 + 3 = 0. Let u(m) = 4*m**2. Suppose 5*h + 303 - 888 = 0. Let n(x) = -6*x**2 + 117*x - h*x. What is k*u(g) + 5*n(g)?
2*g**2
Let g(t) = -2*t + 47. Let x(v) = 4*v - 94. Calculate -7*g(d) - 4*x(d).
-2*d + 47
Let x(d) = 1. Let i(j) = j + 3. Let b be (90/20)/(2/4*-1). Determine b*x(k) + 2*i(k).
2*k - 3
Let m(f) = -3*f + 1. Let l = -18 - -13. Let r(i) = -4*i + 1. Let o(w) = l*m(w) + 4*r(w). Let z(p) = -1. Calculate 2*o(b) - 4*z(b).
-2*b + 2
Let w(p) = -p**3 + 15*p + 1. Let x(r) = -r**3 + 14*r + 2. Determine -3*w(y) + 2*x(y).
y**3 - 17*y + 1
Let f(l) = 13*l**3 - 2*l**2 - 7*l. Suppose -2*j = 6 + 2. Let b(u) = 6*u**3 - u**2 - 3*u. Give j*f(i) + 9*b(i).
2*i**3 - i**2 + i
Let h(z) = -3*z**2 - 2*z + 3. Let q(o) be the third derivative of o**5/60 + o**4/24 - o**3/6 - 20*o**2. Calculate 2*h(a) + 5*q(a).
-a**2 + a + 1
Let o(w) be the second derivative of -w**3 + w**2/2 + 2*w. Let a(x) = -4*x + 5. Let p(t) = -t + 1. Let v(g) = -a(g) + 5*p(g). What is o(r) - 5*v(r)?
-r + 1
Let a(y) = 5*y**3 - 6*y**2 - 2*y + 2. Let h(n) = n**3 - n**2 - n + 1. Give -a(g) + 2*h(g).
-3*g**3 + 4*g**2
Let w(o) = 4*o**2 + 3*o + 1. Suppose p - 5 = f, p - 4*f - 11 = -6. Let v(q) = -5*q**2 - 4*q - 1. Calculate p*v(t) + 6*w(t).
-t**2 - 2*t + 1
Let t(p) = -6*p**2 - 2*p + 2. Let u(s) = -s**2 - s + 1. Give -2*t(z) + 4*u(z).
8*z**2
Let c(t) = -8*t**2 - 13*t. Let q(h) = -4*h**2 - 6*h. Give 6*c(j) - 13*q(j).
4*j**2
Let u(z) = 0 - 1 + 0*z**3 - z**3 + 2*z**2. Let w(p) = 2*p**3 + 58*p**2 - p + p**3 + 6 - 69*p**2 + 2*p**3. Determine 11*u(s) + 2*w(s).
-s**3 - 2*s + 1
Let r(s) = 9*s**3 - 11*s**2 + 30*s + 8. Let v(i) = -6*i**3 + 7*i**2 - 20*i - 5. Calculate 5*r(m) + 8*v(m).
-3*m**3 + m**2 - 10*m
Let u(d) = -2*d**2 - 5*d + 2. Let y(t) = 5*t**2 + 11*t - 4. Suppose 33 = 4*o + 5*r, 3*r = -o + r + 9. Determine o*u(l) + 3*y(l).
l**2 - 2*l + 2
Let x(d) = 7*d - 4. Let q(v) = 6*v - 5. Determine -6*q(g) + 5*x(g).
-g + 10
Let w(u) = u**2 - u. Let f(o) = -7*o**2 + 6*o - 1. Determine -f(z) - 6*w(z).
z**2 + 1
Let t(h) = -5*h. Let u(r) = r + 2*r - 2*r + 2*r. Give 6*t(b) + 11*u(b).
3*b
Suppose 2*y - 57 = -3*w + y, 14 = w + 2*y. Suppose -4*u + w = u. Let j(s) = -6*s**2 + 2*s + 3. Let g(a) = -7*a**2 + 3*a + 4. Give u*g(n) - 5*j(n).
2*n**2 + 2*n + 1
Let m(o) = 10*o - o - 4*o. Let c(u) = -11*u. Determine -4*c(h) - 9*m(h).
-h
Let g(d) = -d. Let z = -2 + 3. Let s(n) = 9*n - 4. Let w(c) = 80*c - 35. Let j(t) = -35*s(t) + 4*w(t). Give z*j(i) + 6*g(i).
-i
Let d(x) = 5*x - 7. Let k(t) = -2*t + 2. Calculate -3*d(f) - 8*k(f).
f + 5
Let s(n) = 4*n**2 - 6*n + 3. Let j(v) = -11*v**2 + 18*v - 8. What is -3*j(b) - 8*s(b)?
b**2 - 6*b
Let r(h) = -1. Let m(u) = 3*u**3. Give m(n) + r(n).
3*n**3 - 1
Let v(n) = -5*n + 5. Let r(j) = -9*j + 10. Calculate 4*r(o) - 7*v(o).
-o + 5
Let w(g) = -2*g**3 + 15*g**2 - 3*g + 1. Let q(r) = -r**3 + 7*r**2 - r. Give 5*q(u) - 2*w(u).
-u**3 + 5*u**2 + u - 2
Let c(w) = -2*w + 11. Let p(i) = i - 5. Give 2*c(j) + 5*p(j).
j - 3
Let z(l) = -14*l**2 - 20*l - 8. Let n be (-2)/(-3)*((-9 - -1) + -1). Let c(j) = 5*j**2 + 7*j + 3. Give n*z(s) - 17*c(s).
-s**2 + s - 3
Let o(p) = 5*p + 19. Let x(c) = 2*c + 9. Determine 3*o(q) - 7*x(q).
q - 6
Let s(q) = -2*q - 7. Let c(n) = n. Let h = -10 - -12. Let f be (-1 - (-1 + -1))/(-1). Let y(t) = t - 4. Let o(a) = f*y(a) + h*c(a). Determine -7*o(p) - 4*s(p).
p
Let o(f) = 13*f**2 - f - 8. Let g be (2 - 5)*6/9. Let x(y) = 17 - 15 - 3*y**2 - 3*y + 3*y. Give g*o(u) - 9*x(u).
u**2 + 2*u - 2
Let o(s) = 14*s**3 + 5*s - 5. Let g(y) = -21*y**3 - 7*y + 7. Give 5*g(d) + 7*o(d).
-7*d**3
Let d(j) = 2*j**2 + 3*j - 3. Let w = 0 - -2. Let b(h) = -4*h + w + 0*h**2 - 3*h**2 + 2. Suppose -5*r = -u + 21, 4*r - u + 16 = -1. Give r*d(t) - 3*b(t).
t**2
Let b(d) = 7*d**3 - d**2 + 7*d + 6. Let s(l) = -8*l**3 + l**2 - 8*l - 7. Calculate 5*b(o) + 4*s(o).
3*o**3 - o**2 + 3*o + 2
Let i(w) = 4*w**3 + 4*w**2 - w - 7. Let m(h) = -3*h**3 - 3*h**2 + h + 6. Give 6*i(g) + 7*m(g).
3*g**3 + 3*g**2 + g
Let p(z) = z**3 + z**2 + 1. Let r(m) = 5*m**3 + 6*m**2 - 2*m + 4. Let c be 2*(-6 - -2) + 4. Determine c*p(w) + r(w).
w**3 + 2*w**2 - 2*w
Let g(j) = -6*j**2 + 2. Let q(t) = -2 + t**2 - 8*t + 0 + 0*t**2. Let p be q(7). Let l be p/(-4)*8/(-3). Let y(c) = 7*c**2 - 2. Determine l*g(d) - 5*y(d).
d**2 - 2
Let w(u) be the third derivative of -u**3/6 + 3*u**2. Let n(q) = -8*q**3 + q**2 + q + 1. Let p be n(-1). Let i(a) = -a - 5. Give p*w(d) - 2*i(d).
2*d + 1
Let j(u) = -4*u**3 + 6*u**2 + 6*u - 3. Let a(g) = -g**2 - g. Calculate 6*a(z) + j(z).
-4*z**3 - 3
Let h(s) = 2*s - 3. Let i be h(2). Let y(u) = -3*u - 4*u + i + 5 + 3*u. Let q(b) = -b + 1. Determine 6*q(w) - y(w).
-2*w
Let g(q) = -8*q + 15*q + 1 - 9*q - q. Let o(a) be the first derivative of -8*a**2 + 6*a + 1. Calculate 11*g(l) - 2*o(l).
-l - 1
Let i(n) = -n**3 - n**2. Let r(l) = -14*l**3 - 12*l**2 - 2*l - 2. Calculate 12*i(c) - r(c).
2*c**3 + 2*c + 2
Let p(s) = s**2 + 2*s + 2. Let r(z) be the second derivative of -z**4/4 - 2*z**3/3 - 5*z**2/2 + 51*z. Calculate -5*p(l) - 2*r(l).
l**2 - 2*l
Let j(d) = -7*d + 4. Let h(g) = -7*g + 3. Determine 5*h(x) - 4*j(x).
-7*x - 1
Let t(i) = 3*i + 15. Let o(n) = -4 - 2 + 7. Determine -15*o(y) + t(y).
3*y
Let v(c) = -c**3 + 5. Let s(t) = 9. Let u be 6/((-12)/8 + 3). Let m(x) = 5. Let z(h) = u*s(h) - 7*m(h). Calculate 3*v(f) - 15*z(f).
-3*f**3
Let m(b) = 2*b**3. Let f