 4. Let w(m) = -6*s(m) + 5*v(m). Let g(t) = -15*t**2 + 9. What is 4*g(z) + 9*w(z)?
3*z**2
Let s(n) = n**3 + n**2 + n. Let a(x) be the first derivative of -3*x**4/4 - x**3 - 5*x**2/2 - 33. Calculate a(t) + 4*s(t).
t**3 + t**2 - t
Let q(r) = -7*r**3 + 3*r - 2. Let i(o) = -4*o**3 + 2*o - 1. Let a(l) = -5*i(l) + 3*q(l). Let k(n) = -n**3 + 2*n**2 - 2*n. Calculate 2*a(y) - k(y).
-y**3 - 2*y**2 - 2
Let m(t) = 2*t**3 - 5*t + 3. Let d(j) = 3*j**3 - 6*j + 3. Determine -5*d(b) + 6*m(b).
-3*b**3 + 3
Let k(z) = 3*z. Let i(f) = f. Let p = 3 + 7. Let v be (-5)/p + 9/2. What is v*k(w) - 14*i(w)?
-2*w
Let b(v) = -1. Let r(z) = 27*z - 54. Determine 54*b(i) - r(i).
-27*i
Let t(h) = -8*h + 6. Let d(k) = 14*k - 5. Let a(o) = 7*o - 3. Let n(w) = 5*a(w) - 2*d(w). Calculate 6*n(l) + 5*t(l).
2*l
Let q(y) = -10*y**3 + 9*y**2 + 11*y - 15. Let f(i) = 2*i**3 - 2*i**2 - 2*i + 3. Calculate -11*f(c) - 2*q(c).
-2*c**3 + 4*c**2 - 3
Let s(d) = -3*d**3 - d**2 - 11*d + 7. Let m(z) = -z**3 - z**2 - 5*z + 3. Determine -5*m(h) + 2*s(h).
-h**3 + 3*h**2 + 3*h - 1
Let l(t) = 9*t - 4. Let f(d) = 19*d - 9. What is 2*f(s) - 5*l(s)?
-7*s + 2
Let v(d) = -15*d**3 - 3*d**2 + 3. Let i(c) = 8*c**3 + 2*c**2 - 2. Give -5*i(a) - 3*v(a).
5*a**3 - a**2 + 1
Let h(r) = 6*r + 7. Let m(o) = 4*o + 5. Suppose -8 = 4*d - 0. Let u be -2*((-3)/2 + d). What is u*m(l) - 5*h(l)?
-2*l
Let s(f) = -14*f**3 - 6*f**2 + 11*f - 11. Let w(c) = 5*c**3 + 2*c**2 - 4*c + 4. What is -4*s(z) - 11*w(z)?
z**3 + 2*z**2
Let p(v) = 2*v**3 - 2*v**2 + 3*v. Let t(k) = -5*k**3 + 5*k**2 - 8*k. Let n(a) = a - 4. Let z be n(-4). Let y = -48 - -45. Determine y*t(u) + z*p(u).
-u**3 + u**2
Let h(o) = -82*o**2 - 5. Let w(k) = -1353*k**2 - 82. Calculate 82*h(u) - 5*w(u).
41*u**2
Let b(x) = 4*x**2 - 15*x. Let c(h) = -7*h**2 + 31*h. Determine -5*b(j) - 3*c(j).
j**2 - 18*j
Let g(y) = -y**3 + y**2 - 5. Suppose t = 5 + 8. Suppose -q = -3*q - 8, 0 = -3*k + 4*q + t. Let w(v) = 1. Suppose -6 = d - 1. Give d*w(j) + k*g(j).
j**3 - j**2
Let v(i) = -2*i**2 + 6*i + 5. Let y = 4 + 5. Suppose 0 - y = -3*u. Let b(k) = -2*k**2 + 5*k + 4. Determine u*v(a) - 4*b(a).
2*a**2 - 2*a - 1
Let k(v) = -v + 1. Let l(g) = 0 + 1 + 0 - g + 0. Determine 6*k(j) - 5*l(j).
-j + 1
Let u(n) = 4*n**3 + n**2 + 4*n - 2. Let q(t) = 2*t**3 + t**2 + 2*t - 1. What is -13*q(v) + 6*u(v)?
-2*v**3 - 7*v**2 - 2*v + 1
Let x(p) be the first derivative of -5*p**2/2 + 13*p + 5. Let c(l) = -l + 3. Let b be (8/(-5))/((-2)/5). Give b*x(j) - 18*c(j).
-2*j - 2
Let h(g) = -19*g**2. Let u(x) = 38*x**2 - x. Calculate 5*h(y) + 3*u(y).
19*y**2 - 3*y
Let c(k) = -k**2 - k - 1. Let f(t) = -2*t**3 + 4*t**2 + 8*t + 6. Let p(q) = -q**2 + 2*q + 9. Let b be p(-3). Calculate b*c(m) - f(m).
2*m**3 + 2*m**2 - 2*m
Let t(x) = x + 3. Let d be t(-6). Let l(y) = -6*y**2 - 8*y + 8. Let i(p) = -2*p**2 - 3*p + 3. Give d*l(o) + 8*i(o).
2*o**2
Let b(m) = 52*m**2 + 5*m + 5. Let u(s) = 52*s**2 + 4*s + 4. Give -4*b(h) + 5*u(h).
52*h**2
Suppose -t = -5*t - 28. Let a(m) = -3*m**2 - 2*m - 2. Let h(n) = 4*n**2 + 3*n + 3. Calculate t*a(b) - 5*h(b).
b**2 - b - 1
Let i(m) = 9*m - 7. Let k(d) = -13*d + 1. Let c(q) = -6*q + 1. Let v(x) = -5*c(x) + 2*k(x). Calculate 6*i(a) - 13*v(a).
2*a - 3
Suppose 0 = -q - 2*q + 72. Let g(a) = -3*a + q*a + 6 + 2*a. Let l(v) = -v - 5*v - 2*v - 2. Determine -6*g(u) - 17*l(u).
-2*u - 2
Suppose -2*p - 2*p + 2*b = -12, 5*p = -3*b + 4. Let x(j) = -3 + 2 + 2*j**p - 3*j**2. Let q(m) = 2*m**2 + 2. Give 3*q(a) + 5*x(a).
a**2 + 1
Let d(l) = -2*l**2. Suppose -2*n + 0*z + 2*z - 14 = 0, 0 = -n - 5*z + 5. Let s(g) = -3*g**2. Give n*s(c) + 6*d(c).
3*c**2
Let d(u) = 75*u. Let o(k) = -15*k. What is 5*d(p) + 24*o(p)?
15*p
Let t(f) = 17*f**2 - 7. Let c(r) = -8*r**2 + 3. Let h be -8 - (-3 + -1)/4. Determine h*c(w) - 3*t(w).
5*w**2
Let w(c) = 4*c + 1. Let o(u) be the first derivative of -2*u**2 - u + 57. What is 3*o(k) + 2*w(k)?
-4*k - 1
Let r(a) = -3 + 2 + 7 + a**3. Let m be ((-10)/(-4))/((-45)/(-108)). Let z be 1/3 + 40/6. Let q(k) = -k**3 - 7. Determine m*q(s) + z*r(s).
s**3
Let r(b) = -5*b - 5. Let x be (-4 - -6)*(-2)/(-4). Let l = x - 1. Suppose -3*z + 3*k - 6 = 0, -3*z + 6*z - 2*k + 6 = l. Let d(q) = q + 1. Give z*r(g) - 9*d(g).
g + 1
Let w(i) = -i - 2. Let u(x) = x + 3. Give 2*u(j) + 5*w(j).
-3*j - 4
Let w(n) = n**2 + n + 1. Let d(b) = b**2 + 4*b - 9. Let j be d(-6). Let r(t) = 4*t**2 + 3*t + 5. Give j*w(v) - r(v).
-v**2 - 2
Let j(i) = i**2 + 4*i + 3. Let y(c) = 2*c**2 + 7*c + 5. Suppose 5*w = 27 - 2. Calculate w*j(m) - 3*y(m).
-m**2 - m
Let r(w) = 2*w + 1. Suppose -21 + 43 = 2*v. Let h(g) = -10*g - 6. Calculate v*r(t) + 2*h(t).
2*t - 1
Let n(m) = -14*m - 9. Let w(s) = -7*s - 4. Determine -6*n(h) + 13*w(h).
-7*h + 2
Let n(v) = v**3 - 5*v**2 + 6*v + 9. Let l(y) = y**3 - 2*y**2 + 3*y + 4. Give 5*l(h) - 2*n(h).
3*h**3 + 3*h + 2
Let p(g) = -2*g**2 + 13*g + 3. Let r be p(7). Let s(c) = 9*c - 11. Let l(t) = -3*t + 4. Determine r*s(y) - 11*l(y).
-3*y
Let r(x) = -x**2 - x - 1. Let v(z) be the third derivative of -z**5/30 - z**4/12 - z**3/6 + z**2. Determine r(k) - v(k).
k**2 + k
Let n(g) = -15*g + 9 + 0*g - 5*g + 2. Let i(a) = -7*a + 4. Calculate -17*i(o) + 6*n(o).
-o - 2
Let u(i) = -13*i + 4. Let m(g) = -7*g + 2. Let d(t) = 3*t - 12. Let z be d(6). Determine z*u(q) - 11*m(q).
-q + 2
Let t(w) = w - 17. Let q be t(13). Suppose 0 = -2*x + 2*b - 0 + 14, -2*x = -5*b - 8. Let r(i) = -4 - 3 - 2*i + 3. Let u(m) = -m - 2. Give q*r(p) + x*u(p).
-p - 2
Let i(h) be the second derivative of h**3/3 - h**2 + 4*h. Let o(w) = -2 + w - 1 + 1. Let n(v) = v. Let b be n(-3). What is b*o(a) + 2*i(a)?
a + 2
Let c(s) = -26 - 3*s + 26. Let p(g) = 2*g. Determine 6*c(l) + 10*p(l).
2*l
Let n(b) = -22*b + 8. Let g(m) = 23*m - 7. Calculate 6*g(c) + 5*n(c).
28*c - 2
Let k(n) = 2*n + 1. Let i(r) be the third derivative of -r**4/12 - r**3/3 + 25*r**2. Determine -3*i(b) - 4*k(b).
-2*b + 2
Let r(s) = s + 10. Let n(d) = -1. Determine n(p) + r(p).
p + 9
Let w(b) = -5*b. Let j(i) = -6*i. Let x = -22 - -25. Let f(r) = -r**3 + 3*r**2 - r. Let n be f(x). Give n*j(u) + 4*w(u).
-2*u
Let l(q) = 2*q**2 + 3*q + 4. Let w(m) be the second derivative of m**4/6 + m**3/2 + 3*m**2/2 + 31*m + 2. Calculate 5*l(n) - 6*w(n).
-2*n**2 - 3*n + 2
Let f(x) = 2*x**2 + 6*x - 12. Let q(r) = -2*r**2 - 7*r + 12. Calculate -7*f(n) - 6*q(n).
-2*n**2 + 12
Let n(o) = -o**2 + o. Let x(m) = 6*m**2 - 7*m + 9. Determine -5*n(y) - x(y).
-y**2 + 2*y - 9
Let q = 85 - 80. Let d(s) be the first derivative of -s**4/4 + s**3/3 + 1. Let c(g) = 3*g**3 - 5*g**2 + 2*g + 1. What is q*d(n) + c(n)?
-2*n**3 + 2*n + 1
Let h(w) = w**2 - 21*w - 1. Let d(a) = -5*a. Give -9*d(c) + 2*h(c).
2*c**2 + 3*c - 2
Let l(j) = 17. Let a(p) = 28. Let r(g) = 3*a(g) - 5*l(g). Suppose 0 = -o + 1, 5*o - 5 = n + 2*o. Let d = n + 1. Let f(v) = -v - 2. Calculate d*f(h) + 2*r(h).
h
Let r(c) = c**2 + c + 1. Let a(o) = o**2 - 3*o - 8. What is a(v) + 4*r(v)?
5*v**2 + v - 4
Let d(p) = 4*p**3 - p**2 - 5. Let c(r) = -r**3 + 1. Suppose -13 = -2*v - 1. Suppose -5*t + 3 = -2*g, t + 3*g + 7 = -v. Give t*d(z) - 3*c(z).
-z**3 + z**2 + 2
Let q(m) be the third derivative of -m**6/12 - m**5/12 + 5*m**3/6 - 3*m**2. Let r(u) = 5*u**3 + 3*u**2 - 3. Give -3*q(z) - 5*r(z).
5*z**3
Let y(f) = 8*f + 13. Let z(r) = -142*r + 1 + 6 + 146*r. What is -6*y(t) + 11*z(t)?
-4*t - 1
Let m(h) = h - 1. Let i be (-6)/(-4) - 6/12. Let b = 2 - -4. Let r(j) = -j**2 - 5*j + 6. Give b*m(f) + i*r(f).
-f**2 + f
Let l(d) be the third derivative of -d**6/120 - d**5/60 + 5*d**3/6 - 20*d**2. Let a(o) = 1. Let q be (-2)/1 - (-1 + -6). Let g = q + -2. What is g*a(i) - l(i)?
i**3 + i**2 - 2
Let i(q) = 24*q**2 - 18*q**2 - 11 - 17*q**2. Let u(d) = -5*d**2 - 5. What is -4*i(n) + 9*u(n)?
-n**2 - 1
Let u(f) = 19*f - 7. Let i(g) = -10*g + 4. What is -11*i(y) - 6*u(y)?
-4*y - 2
Let r(w) = 23*w**3 + 9*w**2 - 5*w - 5. Let n(i) = 34*i**3 + 14*i**2 - 7*i - 7. Give -5*n(d) + 7*r(d).
-9*d**3 - 7*d**2
Let m(s) = -s**3 + 2*s**2 + 2*s - 2. Let d be m(1). Let x(p) = -p. Let y(c) = 9*c - 1. What is d*y(v) + 6*x(v)?
3*v - 1
Let w(c) = 9*c - 9. Let z(y) = -5*y + 5. Suppose 0 = 2*n - 6, 2*m + 0 = n + 1. Suppose 0 = m*b - b + 5. Determine b*z(p) - 3*w(p).
-2*p + 2
Let f(d) = -d**2 - 3*d - 4. Let m(s) = s + 1. Suppose -6*p + 5*p - 6 = 0. Calculate p*m(j) - 2*f(j).
2*j**2 + 2
Let a(y) = -2 - 1 + 2*y**2