 Let u(z) be the second derivative of z**3/6 + 11*z. What is l(f) + 2*u(f)?
-2*f + 1
Suppose -23 = -2*d - 25. Let h(q) = -3*q + 8. Suppose x - 16 = 3*x. Let z(k) = -k + 3. Let s(f) = x*z(f) + 3*h(f). Let a(t) = -7*t. Determine d*a(w) + 5*s(w).
2*w
Let j(n) = 23*n + 2. Let l(u) = -369*u - 33. Give -33*j(c) - 2*l(c).
-21*c
Let p(u) = 33*u + 21. Let q(a) = 8*a + 5. Determine -5*p(r) + 21*q(r).
3*r
Let r be -7 + 5 - 7/(-1). Suppose w + 0 = -r. Let l(h) = -3*h + 3. Let g(y) be the third derivative of -y**4/12 + y**3/3 + 4*y**2. Determine w*g(z) + 4*l(z).
-2*z + 2
Let b = 5 + -1. Suppose 2*j = -5*z + 3, -z - b + 3 = 0. Let k(x) = -5*x**3 - 4*x - 4. Let c(i) = -i**3 - i - 1. What is j*c(y) - k(y)?
y**3
Let y(n) = -n. Let k = 0 + 2. Let m(h) = -4*h - 1. Determine k*m(g) - 6*y(g).
-2*g - 2
Let n(y) = 2*y**2 + 9*y - 22. Let x(c) = -c**2 - 4*c + 11. Give 4*n(o) + 9*x(o).
-o**2 + 11
Let a(m) be the third derivative of m**4/24 - 2*m**3/3 - m**2. Let j(o) = -1. What is -a(t) + 4*j(t)?
-t
Let f(l) = 11*l. Let v = 2 + -2. Let z(r) be the second derivative of -2*r + 2/3*r**3 + v*r**2 + 0. Calculate 6*f(b) - 17*z(b).
-2*b
Let m(h) be the first derivative of -5*h**4/2 + 7*h**3/3 + 5*h**2/2 - 5*h - 14. Let z(g) = -11*g**3 + 8*g**2 + 6*g - 6. Determine -6*m(t) + 5*z(t).
5*t**3 - 2*t**2
Let j(v) = -33*v + 9. Let c(s) = 17*s - 4. What is 9*c(t) + 4*j(t)?
21*t
Let b(w) = 5*w - 2*w**2 + 1 - 5*w - 4*w**2. Suppose 5*z + 20 = 3*v - 18, 4*v = 2*z + 18. Let u(a) = -11*a**2 + 2. What is z*b(f) + 4*u(f)?
-2*f**2 + 1
Let c(m) = -11*m**2 - 107*m + 17. Let z(d) = 4*d**2 + 36*d - 6. Calculate 6*c(x) + 17*z(x).
2*x**2 - 30*x
Let g(f) = -21*f**3 - f**2 - 2*f + 2. Let b(i) = -20*i**3 - i**2 - 3*i + 2. Determine 2*b(x) - 3*g(x).
23*x**3 + x**2 - 2
Let s(t) = -14*t**2 + 12. Let g be 2 + (-3)/3 + 1. Let j(k) = 0*k**2 + 8 + k**2 - 7 - 2*k**g. Calculate -12*j(w) + s(w).
-2*w**2
Let z(t) = 7*t - 5*t - 3*t. Let b(a) = a - 1. Determine -b(v) + 5*z(v).
-6*v + 1
Let l(y) = 15*y**2. Let x(u) = 2*u**2. Give 3*l(t) - 20*x(t).
5*t**2
Let a(d) = -3*d**2 - 1. Let m(c) = -4*c**2 - c - 1. Let y(l) = -l**2 + 3*l + 2. Let g be (-14)/(-2) + 0 + -3. Let r be y(g). What is r*m(i) + 3*a(i)?
-i**2 + 2*i - 1
Let n(p) = -14*p**3 + 12*p**2 - 12*p. Let c = -24 + 36. Let d(z) = z**2 - z - 1. Let t be d(2). Let q(j) = j**3 - j**2 + j. Calculate c*q(i) + t*n(i).
-2*i**3
Let i(w) = -2. Let b(p) be the first derivative of 1/2*p**2 + p + 3. Give 2*b(z) + i(z).
2*z
Let l(u) = -u**3 - u**2 - u + 1. Let x(z) = 2*z**2 + 2*z + 32. Calculate 2*l(t) + x(t).
-2*t**3 + 34
Let m(l) = -2*l**2 + l - 5. Let o(w) = 2*w**2 - 2*w + 6. Let n = -19 - -9. Let s be 4/(-10) + (-44)/n. Suppose -s*x = -3*x - 3. Determine x*o(y) + 4*m(y).
-2*y**2 - 2*y - 2
Let p(c) be the first derivative of 8*c**3/3 - 3*c**2 + 7. Let h(j) be the second derivative of j**4/12 - j**3/6 - j. Calculate -6*h(m) + p(m).
2*m**2
Suppose -l + 3*s + 2 = 4, -5*l - 10 = -4*s. Let r(h) = 4*h**2 + 3*h - 3. Let a(x) = x**2 + x - 1. Let g = -80 + 86. Determine g*a(q) + l*r(q).
-2*q**2
Let m(o) = -o**2 + o. Let v(g) = -14*g**2 + 6*g. What is 6*m(c) - v(c)?
8*c**2
Let s(z) = 10*z - 3. Let t(b) = 19*b - 6. Determine 5*s(m) - 2*t(m).
12*m - 3
Let u(g) = -3*g - 4. Let x(s) = -2*s - 3. Calculate 5*u(c) - 7*x(c).
-c + 1
Let h(d) = -2*d**2 - 4*d. Let z(v) be the third derivative of -v**5/30 - v**4/8 - 7*v**2. What is 3*h(k) - 4*z(k)?
2*k**2
Let z(g) = -1. Let s(x) = 4*x - 1. Calculate -2*s(i) + 2*z(i).
-8*i
Let x(r) = -r**3 - 4*r**2 + r - 6. Let o(w) = 2*w**3 + 11*w**2 - 3*w + 17. Give 4*o(y) + 11*x(y).
-3*y**3 - y + 2
Let v(s) = -s**3 - s**2 + 4*s - 6. Let x(f) = 3*f**3 + 4*f**2 - 12*f + 19. What is -7*v(u) - 2*x(u)?
u**3 - u**2 - 4*u + 4
Let u(i) = 0 - 2*i + i - 2. Let m(b) = -1. Let j(k) = 8*k - 38. Let z be j(5). Suppose 0 = -3*d - 3 - 0. Give d*u(l) + z*m(l).
l
Suppose 0 = -0*p + 2*p - 2. Let d(a) = 4*a - 7. Let u(f) = -1. What is p*d(n) - 5*u(n)?
4*n - 2
Let m(a) be the first derivative of a**3/3 - 1. Let s(x) be the first derivative of x**2/2 + x - 61. Calculate m(k) + s(k).
k**2 + k + 1
Let p(u) = 2*u + 66. Let m(n) = n + 33. Calculate 13*m(h) - 6*p(h).
h + 33
Let b(m) = -m**3 - m + 1. Let p(u) = u**3 + 2*u**2 + 6*u - 7. Calculate 5*b(w) + p(w).
-4*w**3 + 2*w**2 + w - 2
Let g(a) = -1. Let p(t) = t - 6. Let i(j) = -6*g(j) + p(j). Let d(n) = -2*n**2 - 6*n. What is -d(k) - 4*i(k)?
2*k**2 + 2*k
Let i(q) = q - 1. Let n(g) = 2*g - 1. What is 4*i(z) - 5*n(z)?
-6*z + 1
Let j(w) = -w**2 - w + 2. Let p be j(2). Let h(f) = -6*f + 1. Let k(n) = -5*n + 1. Determine p*h(s) + 5*k(s).
-s + 1
Let k(c) = c. Let x(y) = -24*y. Calculate -16*k(n) - x(n).
8*n
Let o = 0 - 4. Let f(t) = -2*t - 2. Let h(c) be the third derivative of -c**4/12 - c**3/2 + 7*c**2. What is o*h(q) + 5*f(q)?
-2*q + 2
Let p be 24/2*(-11)/22. Let t(a) be the first derivative of -a**4/4 - a**3/3 + a**2/2 - a + 1. Let k(v) = -4*v**3 - 7*v**2 + 7*v - 6. Calculate p*t(w) + k(w).
2*w**3 - w**2 + w
Let s(j) = -8*j**2 - 4*j. Let a(g) = -4*g**2 - 2*g. Give -11*a(x) + 6*s(x).
-4*x**2 - 2*x
Let r(h) = 12*h**3 - 3*h**2 + 3. Let x(j) = -36*j**3 + 8*j**2 - 8. Determine -8*r(g) - 3*x(g).
12*g**3
Let r(l) = -4*l**2 + 5. Let s(x) = -2*x**2 + 3. Let i be 2/7*(-1 - -8). Suppose -5*d = -5*y - d - 13, i*y = -2*d - 16. Calculate y*s(c) + 3*r(c).
-2*c**2
Let f(d) = 2*d. Let q(k) = -4*k. Suppose 0 = -3*v - 0 + 6. Suppose -2*p = v*n + 8, 0*p - 2 = 2*n - p. Give n*q(u) - 5*f(u).
-2*u
Let i(z) = z**3 + z**2 + z. Let f(h) = -7*h**3 - 11*h**2 - 8*h. Give -f(d) - 6*i(d).
d**3 + 5*d**2 + 2*d
Let u(g) = 3*g**2 + 2*g - 4. Let q(o) = o**2 - 1. Calculate 4*q(m) - u(m).
m**2 - 2*m
Let m(o) = -33*o**2 - 39*o - 31. Let l(q) = 11*q**2 + 13*q + 10. Let a(f) = -8*l(f) - 3*m(f). Let n(v) = 5*v**2 + 6*v + 6. Calculate -6*a(d) + 13*n(d).
-d**2
Let d(b) = b**3 + b**2 + 11. Let y(m) = 4. Calculate 3*d(t) - 8*y(t).
3*t**3 + 3*t**2 + 1
Let m(j) = -8*j**2 + 8*j**2 - j**2. Let t(v) = 9*v + v**2 - 9*v - 2*v**2. Calculate -4*m(s) + 5*t(s).
-s**2
Suppose 3*z + 24 = 6. Let m(d) = 6*d - 9 - 13 + 11. Let s(p) = -p + 2. Determine z*m(h) - 33*s(h).
-3*h
Let v(a) = -a**3 + 6*a**2. Suppose 0 = -6*l + 1 - 7. Let m(u) = u**3 - u**2. What is l*v(k) - 6*m(k)?
-5*k**3
Let h(l) = -4*l - 3 + 5*l + l - 5*l - 5*l**2. Let j(m) = -6*m**2 - 4*m - 4. Give 4*h(d) - 3*j(d).
-2*d**2
Let u(j) = -j - 1. Let p(t) = 4*t + 3. Let a be (3 - 1)*11/22. What is a*p(x) + 6*u(x)?
-2*x - 3
Let l(a) = a + 2*a + 0*a. Let b(g) = -7*g - 1. Suppose -20*u = -16*u - 8. Calculate u*b(c) + 5*l(c).
c - 2
Let y(g) = -11*g**3 + g**2 - 7. Let n(i) = 10*i**3 - i**2 + 6. Give 7*n(c) + 6*y(c).
4*c**3 - c**2
Let l(c) = 3*c**3 - c + 10. Let v(m) = m**3 + 1. Calculate l(z) - 2*v(z).
z**3 - z + 8
Let h(j) = j + 1. Let w(a) = -8*a - 7. Let k(u) = 2*u**2 - 7*u - 6. Let b be k(6). Suppose 5*d - 1 = -z + 5, -4*z = -2*d - b. Give z*h(y) + w(y).
-2*y - 1
Let g(x) = x**2 - 3*x + 3. Let k(h) = -1 + 232*h**2 - 4*h + 5 - 230*h**2. Suppose s = 2*r - 7, -4*r + r = -2*s - 9. Determine s*k(z) - 4*g(z).
2*z**2
Let x(f) = f + 2. Let c(z) = -2*z - 4. Suppose -12 = -3*w + 12. Let n be (1*11)/(7 - w). Determine n*x(v) - 6*c(v).
v + 2
Let b(d) = -2*d - 1. Let n = 6 + 10. Let j = 19 - n. Suppose t = -4*t + z + 8, 6 = -2*z. Let p(f) = f + 1. Calculate j*p(v) + t*b(v).
v + 2
Let o(j) be the second derivative of 7*j**5/20 - j**4/12 + j**3 + j**2/2 + 24*j. Let r(b) = -8*b**3 + b**2 - 7*b - 1. Calculate -7*o(h) - 6*r(h).
-h**3 + h**2 - 1
Let c(l) = -l**2 - 7*l - 7. Let b(z) = -z**2 - 5*z - 5. Let o(h) = -3*b(h) + 2*c(h). Let p = 0 - 1. Let m(q) = 6*q**2 + 5*q + 4. Calculate p*m(w) + 5*o(w).
-w**2 + 1
Let u(o) = 2*o**3 + 12*o**2 - 3. Let v(w) = -w**3 - 6*w**2 + 2. Give 3*u(n) + 5*v(n).
n**3 + 6*n**2 + 1
Suppose -4*q - 8 = 0, -5*b + 18 = -2*q - 1. Let c(m) = 0*m - 1 + 5*m - m**2 - m**2. Let z(g) = 4*g**2 - 9*g + 2. Determine b*z(s) + 5*c(s).
2*s**2 - 2*s + 1
Let s(o) = 2*o**3 + 5*o**2 - 4*o + 2. Let v(p) = 6*p + 2*p**2 + 1 + p**3 + 4*p - 21*p + 9*p. Calculate 2*s(b) - 5*v(b).
-b**3 + 2*b - 1
Let k(o) = 4*o**2 - 5. Let n(l) = -3*l**2 - 2 + 2*l**2 + 3*l**2. Let p = 15 - 20. What is p*n(b) + 2*k(b)?
-2*b**2
Let w(x) = -x**3 + 4*x**2 - 4. Let h be w(3). Let m(f) = 4*f**3 - 2*f**2 + 2*f. Let u(c) = 7*c**3 - 5*c**2 + 5*c. Calculate h*m(j) - 2*u(j).
6*j**3