d derivative of r**3/2 - 3*r**2 - r. Suppose -13 = 21*f + 92. Let w(j) = -2*j + 5 - 3 + 3. Calculate f*w(b) - 4*y(b).
-2*b - 1
Let s(o) = -9*o**2 + 7*o + 5. Let w(q) be the third derivative of q**5/15 - q**4/8 - q**3/3 - 2*q**2. Give 2*s(u) + 5*w(u).
2*u**2 - u
Let a(b) = 69*b - 2. Let p(i) = -139*i + 5. What is 5*a(q) + 2*p(q)?
67*q
Suppose 0 = 3*d - 4*u - 16, 5*u = 2*d + 3*d - 25. Let w(v) = -2*v**3 - 4*v**2 + 3. Let m(y) = -2*y**3 - 3*y**2 + 3. Calculate d*m(c) - 3*w(c).
-2*c**3 + 3
Let n(v) = 8*v**2 - 5*v - 9. Let o(h) = -12*h**2 + 7*h + 13. Give 7*n(m) + 5*o(m).
-4*m**2 + 2
Let d(f) = 10*f**2 - f - 6. Let o(i) = 3*i**2 - 2. Let k be 17 - 16 - -2*3. Calculate k*o(y) - 2*d(y).
y**2 + 2*y - 2
Let p be 82/12 - 3/(-18). Let g(j) = -j - 3 + p - 4. Suppose -5 = r + 4*r. Let l(w) = 4*w - 2. Calculate r*l(z) - 3*g(z).
-z + 2
Let a(b) be the first derivative of -3*b**4/4 - 5*b**3 + 9. Let y(n) = -n**2. Calculate -a(w) + 15*y(w).
3*w**3
Let c(f) = -11*f - 6. Let d(o) = -10*o - 5. Calculate -6*c(v) + 7*d(v).
-4*v + 1
Let i(m) = m**2 - m - 5. Let z(t) = -3. Let r(f) = 4*i(f) - 7*z(f). Let h(v) = -9*v**2 + 9*v - 3. Give -2*h(g) - 5*r(g).
-2*g**2 + 2*g + 1
Let v(k) = 4*k**2 + k - 5. Let j(f) be the third derivative of 7*f**5/20 + f**4/4 - 13*f**3/3 - 22*f**2. Determine 2*j(u) - 11*v(u).
-2*u**2 + u + 3
Let a(z) = -z**2 - z. Let j(m) = -8*m**2 - 8*m. Suppose 0 = 5*o + 5*n - 2*n - 21, -3*o + 12 = 2*n. Calculate o*a(f) - j(f).
2*f**2 + 2*f
Let v(w) = 3*w**2 - w - 4. Let c(z) = z**2 - z - 1. What is 2*c(k) - v(k)?
-k**2 - k + 2
Let k(u) = 30*u + 4. Let f(i) = -31*i - 3. What is -6*f(l) - 5*k(l)?
36*l - 2
Let d(h) = 15*h - 9. Suppose 0 = -3*k + 14 + 7. Let l(v) = -k*v + 1 + 13 - 10. What is -4*d(u) - 9*l(u)?
3*u
Let o(t) = -4*t**2 - 6. Let w = 9 - 15. Let l(n) = -3*n**2 - 5. Determine w*l(d) + 5*o(d).
-2*d**2
Let d(q) = -2*q**3 - 8*q - 11. Let o be 11/(44/24) + -2. Let i(z) = -z**3 - 3*z - 4. Determine o*d(b) - 11*i(b).
3*b**3 + b
Let f(n) = -37*n**2 + 5*n + 5. Let b(a) = 37*a**2 - 4*a - 4. Determine -5*b(r) - 4*f(r).
-37*r**2
Let p(r) = -2*r - 64. Let d(t) = -3*t - 64. Determine 4*d(x) - 5*p(x).
-2*x + 64
Let o(w) = 13*w + 1. Let p(c) = 13*c + 1. Determine -6*o(q) + 5*p(q).
-13*q - 1
Let q(d) = -d**3 + 1. Let g(i) = i**3 + i**2. Let o(s) = 18*s**3 + 6*s**2 - 9. Let m(c) = -6*g(c) + o(c). Give m(f) + 9*q(f).
3*f**3
Let x(k) = -3*k - 2. Let l(r) = 13*r + 9. Let y(u) be the third derivative of -u**5/60 + 5*u**4/12 - u**3 + 4*u**2. Let c be y(6). Determine c*x(w) + 4*l(w).
-2*w
Let o(u) = -3*u. Let t(r) = -12*r. Determine 9*o(g) - 2*t(g).
-3*g
Let q(a) = -3*a - 3. Let u(h) = 2*h + 3. Let c(y) = 3*q(y) + 4*u(y). Let j(n) be the first derivative of -n**2 + 5*n + 4. Determine -8*c(x) + 5*j(x).
-2*x + 1
Let b(p) = -7*p + 2. Let s(y) = y - 11. Let i be s(6). Let t(u) = -11*u - u - 8*u + 6. Calculate i*t(g) + 14*b(g).
2*g - 2
Let t(w) = -w**2 - w + 1. Let h = 2 + -2. Let d = 2 - h. Let z(x) = 2 - 5*x - x + d - 2*x**2. Determine -4*t(m) + z(m).
2*m**2 - 2*m
Let y(u) = -u**2 - 3*u + 2. Let c(m) = m**2 + 4*m - 2. Calculate 6*c(r) + 7*y(r).
-r**2 + 3*r + 2
Let b(j) = -j**2 + 1. Let a(l) = -4*l**2 - l + 2. Let t(u) = -a(u) + 3*b(u). Let v(p) = 4*p**3 - 4*p**2 - 4*p - 4. Give -4*t(c) - v(c).
-4*c**3
Let k(a) = a**2 - 10*a + 18. Let f be k(7). Let i(n) = -6*n - 2. Let g(m) = -11*m - 4. Give f*g(l) + 5*i(l).
3*l + 2
Let k(a) = -7*a**3 - 8*a**2 + 6*a + 6. Let r(t) be the third derivative of -t**6/8 - 17*t**5/60 + 13*t**4/24 + 13*t**3/6 - 22*t**2. Determine 13*k(b) - 6*r(b).
-b**3 - 2*b**2
Let p(q) = -22*q**3 + 19*q**2 + 7. Let i(v) = 15*v**3 - 13*v**2 - 5. Determine -7*i(k) - 5*p(k).
5*k**3 - 4*k**2
Let q(p) = 5*p. Suppose -5*n + 4*n = 10. Let d be (-4)/((-16)/n)*-2. Suppose 0*x + x - d = 0. Let u(m) = 6*m. Determine x*q(w) - 4*u(w).
w
Let c(x) = 3*x**3 + x - 7. Let d(l) = -2*l**3 - l + 6. Let u be 3/(1 + (-76)/16 + 3). Calculate u*c(t) - 5*d(t).
-2*t**3 + t - 2
Let v(j) = j**3 + 6*j**2 + 6. Let c = 18 + -7. Let z(p) = 3*p**2 + 3*p**3 + c + 3*p**2 - p**3 + 5*p**2. Determine 11*v(x) - 6*z(x).
-x**3
Let w(p) = p - 1. Let r(c) = 2*c - 9. Let a(d) = -d + 10. Let n(f) = 5*a(f) + 6*r(f). Calculate -n(t) + 6*w(t).
-t - 2
Let h(j) = -2*j**3 + 2*j. Let w(p) = -4*p**3 + 3*p. What is -5*h(t) + 2*w(t)?
2*t**3 - 4*t
Let g = 2 - 3. Let d = g + 4. Suppose -7 = 3*a + 7*x - 3*x, -9 = 3*a + d*x. Let c(v) = 4*v - 2. Let p(k) = -3*k + 2. Calculate a*c(n) - 6*p(n).
-2*n - 2
Let y(z) = z**3 + 2*z**2 - 5. Let w(u) = -2*u**3 - 6*u**2 + 14. Suppose 3*q - 21 = -2*f, 0 = -f - 2*f - 3*q + 36. Let k = f - 23. Calculate k*y(m) - 3*w(m).
-2*m**3 + 2*m**2 - 2
Let m(h) = 14*h**3 - 9*h**2 - 4*h. Let j(o) = -5*o**3 + 3*o**2 + o. Give -8*j(v) - 3*m(v).
-2*v**3 + 3*v**2 + 4*v
Let g(b) = -154*b**2 + 28*b + 28. Let n(r) = 28*r**2 - 5*r - 5. What is -5*g(c) - 28*n(c)?
-14*c**2
Let g(d) = d**2 - 3*d - 1. Let s(p) = -p**2 + 2*p + 1. What is 6*g(j) + 7*s(j)?
-j**2 - 4*j + 1
Let c(j) be the first derivative of j**2 + 0*j + 1 + 1/24*j**4 + 1/6*j**3. Let r(m) be the second derivative of c(m). Let q(l) = -3*l - 4. Give -q(h) - 4*r(h).
-h
Let j(q) = -4*q**2 - q**2 + 4*q**2. Let a(p) be the first derivative of -p**4/2 + 4*p**3 - 92. What is a(b) + 12*j(b)?
-2*b**3
Let p(c) = c**2 + 4*c - 4. Let o(w) = w**2 + 6*w - 6. Let x(k) = -2*o(k) + 3*p(k). Let g(y) = 4*y**2 - 1. Let m = -21 + 12. What is m*x(s) + 2*g(s)?
-s**2 - 2
Let m(p) = -6*p + 1. Let y(i) = i**2 - i + 1. Let z be y(2). Let s = -2 + z. Let t(r) = -r - 7 + 20 - 13. Calculate s*m(g) - 5*t(g).
-g + 1
Let m(g) = 2*g**3 - 2*g. Let y(i) = -17*i**3 + 9*i**3 + 7*i**3 + 0*i**3. Determine -m(p) - 3*y(p).
p**3 + 2*p
Let x(c) = 4*c**2 - c. Let a(j) = 10*j - 7*j - 2*j. Calculate -a(v) - x(v).
-4*v**2
Let a(i) = i - 1. Let q(n) = n. Let f = 62 + -64. What is f*a(v) + q(v)?
-v + 2
Let u(m) = -3*m**2 + 2*m + 5. Let y(g) = -5*g**2 + 5*g + 11. Let p(v) = -5*u(v) + 2*y(v). Let x(f) = 11*f**2 - 7. Give 13*p(a) - 6*x(a).
-a**2 + 3
Let n = -27 - -29. Let p(h) = 0*h + 4*h - 3*h. Let t(g) = -g + 4. Let c(j) = 5. Let r(y) = -3*c(y) + 4*t(y). Give n*p(m) + r(m).
-2*m + 1
Let g(z) = -30*z - 6. Let x(h) = 10*h + 2. What is 5*g(q) + 16*x(q)?
10*q + 2
Let m(x) = -2*x - 2*x**2 + x - 1 + 0*x + 3*x**2. Let j(a) be the second derivative of -a**4/12 + a**3/3 + a**2 + a. Let n = 1 - 0. Calculate n*j(s) + 2*m(s).
s**2
Let n = 15 - 24. Let k(l) = l - 3. Let p(t) = 5*t - 13. Calculate n*k(b) + 2*p(b).
b + 1
Suppose 0 = 5*z - l - 72, -74 = -3*z - 2*z + 2*l. Let j(m) = 4*m**3 + 14*m**2 - 14*m. Let x(u) = u**3 + 3*u**2 - 3*u. Calculate z*x(g) - 3*j(g).
2*g**3
Let o(h) be the second derivative of -7*h**4/12 - h**3/2 + 18*h. Let i(l) = -8*l**2 - 4*l. Determine -5*i(q) + 6*o(q).
-2*q**2 + 2*q
Let u(x) = 2*x**2 - 2*x - 19. Let b(d) = -d**3 + 3*d**2 - 3*d - 18. Give -2*b(z) + 3*u(z).
2*z**3 - 21
Let w(k) = 29*k**2 - 3*k. Let g(p) = -10*p**2 + p. Determine -11*g(b) - 4*w(b).
-6*b**2 + b
Let a(b) = -27*b**3 - 9*b. Let z(x) = 14*x**3 + 5*x. Calculate -5*a(u) - 9*z(u).
9*u**3
Let c = -9 - -4. Let b(y) = 7*y + 7. Let z(g) = 3*g + 3. Calculate c*z(q) + 2*b(q).
-q - 1
Let x(m) = -6*m**3 - 4*m**2 - 3. Let o(v) = -13*v**3 - 9*v**2 - 7. Let q = -24 - -15. Calculate q*x(z) + 4*o(z).
2*z**3 - 1
Suppose -b + 4*d - 15 = -5, -3*b - 5*d + 38 = 0. Let z(f) = -2*f**2 + 2*f - 7. Let r(l) = -2*l**2 + 2*l - 6. What is b*r(u) - 5*z(u)?
-2*u**2 + 2*u - 1
Let r(m) = -14*m - 2. Let j(w) = 15*w + 2. What is -5*j(b) - 6*r(b)?
9*b + 2
Let s(u) = 2*u - 5. Let g(f) = 4*f + 10 - 2 - 7*f. Let p be (-21)/(-4) + 3/(-12). Let d be 33/4 - 1/4. Determine d*s(l) + p*g(l).
l
Let j(c) = 4*c**3 + c**2 + 2*c. Let r(o) = 3*o**3 + 2*o**2 + 2*o. Calculate 2*j(a) - 3*r(a).
-a**3 - 4*a**2 - 2*a
Let x(v) be the first derivative of -3*v - 22. Let z(b) = -b**2 - b - 7. Determine 5*x(k) - 2*z(k).
2*k**2 + 2*k - 1
Let k(z) = 1. Let v(l) = l + 12. Determine -2*k(t) + v(t).
t + 10
Let c(j) = 5*j**2 - 4*j - 5. Let g(i) be the first derivative of -i**3/3 + i**2/2 + i + 5. Calculate 2*c(m) + 9*g(m).
m**2 + m - 1
Let w(p) = 3*p**3 + 3*p**2 - 7*p - 5. Suppose 0*b + 4*b - 16 = 0. Let n = -4 - 10. Let l = n - -21. Let h(z) = -2*z**3 - 2*z**2 + 4*z + 3. Give b*w(s) + l*h(s).
-2*s**3 - 2*s**2 + 1
Let j(f) = 0*f + 0*f**2 - f + f**2. Let p(t) = -t**2 + 13*t + 20. Let n