1. Calculate f*b(w) + a(w).
-w - 1
Let p(b) = -2*b**3 - b - 4. Let c(u) = -4*u**3 - u - 9. What is 4*c(w) - 9*p(w)?
2*w**3 + 5*w
Let w(a) = -11*a - 2. Suppose -3*r + 7*r = 20. Let s(f) = f - 8. Let v be s(r). Let i(q) = 4*q + 1. Give v*w(u) - 8*i(u).
u - 2
Let k be 3/4*8/24. Let t(h) be the third derivative of 0 + 0*h - h**3 + 2/15*h**5 + k*h**4 - h**2. Let a(o) = -15*o**2 - 11*o + 11. What is -6*a(s) - 11*t(s)?
2*s**2
Let d(m) = 8*m - 5. Let y(z) = 1. What is -d(s) - 5*y(s)?
-8*s
Let h(i) = -11*i + 7. Let p(n) be the third derivative of 1/4*n**4 + 0*n + 0 - 2/3*n**3 - 3*n**2. Suppose 6*v - 3*v + 12 = 0. What is v*h(c) - 7*p(c)?
2*c
Let x(v) = -3*v**3 - 2*v**2 + 3*v + 5. Let j(g) = g**3 - g. Calculate 4*j(h) + x(h).
h**3 - 2*h**2 - h + 5
Let k(h) = 19*h - 4. Let s(x) = -57*x + 11. Determine -11*k(l) - 4*s(l).
19*l
Let i(v) = v**3 + 5*v**2 - 8*v - 8. Let b(m) = -2*m**2 + 3*m + 3. What is 8*b(z) + 3*i(z)?
3*z**3 - z**2
Let m be 3 - (6 + -1)/(-5). Let z(v) be the first derivative of 5*v**2/2 - 1. Let b(r) = -4 - 2*r + 4. What is m*z(f) + 11*b(f)?
-2*f
Let t(n) = 3*n - 1. Let p(y) = -y. Suppose -2*g - 3 = g. Give g*p(a) - t(a).
-2*a + 1
Let b(q) = -q**3 + q - 1. Let y(c) = 2*c**3 + c - 2. Let n(j) = -5*b(j) + 5*y(j). Let u(a) = -8*a**3 + 3. Give 3*n(i) + 5*u(i).
5*i**3
Let d(x) = -x**2 + 1. Let j(y) = -2*y + 7. Give 4*d(a) - j(a).
-4*a**2 + 2*a - 3
Let t(v) = 5*v**2 + 11*v - 1. Let s(r) = -4*r**2 - 11*r. Let u(o) = 6*s(o) + 5*t(o). Let b = -5 + 0. Let g(j) = -j**2 + 16*j + 7. What is b*g(n) - 7*u(n)?
-2*n**2 - 3*n
Let i(a) = 3*a + 23 - 7*a - 16. Let u(n) be the second derivative of n**3/3 - 3*n**2/2 + n. Determine -4*i(c) - 9*u(c).
-2*c - 1
Let a(i) = -14 - 2 + 130*i - 140*i. Let o(y) = -2*y - 3. Give 2*a(b) - 11*o(b).
2*b + 1
Let g(a) = 17*a**2 - 3*a - 3. Let d(x) = -560*x**2 + 100*x + 100. What is 6*d(f) + 200*g(f)?
40*f**2
Let x(w) = -w - 7. Let l(t) = t + 6. Let h(n) = 6*l(n) + 5*x(n). Let d(m) = 4*m + 7. Calculate d(p) - 5*h(p).
-p + 2
Let d(t) = t**2. Let i be 6/(-2) + (-28)/4. Let q(p) = p - 8. Let w be q(5). Let y(r) = -4*r**2. What is i*d(k) + w*y(k)?
2*k**2
Let k(c) = -c - 1. Let n(p) = -6*p - 6. Suppose -m + 3 = 2*g, -4*g + 7 + 3 = -2*m. Give m*n(j) + 5*k(j).
j + 1
Let z(w) = w**2 + w - 1. Let j(a) = 2*a**3 - 3*a**2 - 11*a + 3. Calculate -j(c) - 3*z(c).
-2*c**3 + 8*c
Let k(q) = 3 - 3 + q. Suppose 0 = -4*p - 71 + 75. Let t(s) = 5*s + 2. Determine p*t(w) - 6*k(w).
-w + 2
Suppose 3 = -f + 8. Suppose 3*g = 2*g - f. Let d(p) = 2*p**2 + 7. Let b(s) = 3*s**2 + s**2 + 3 - 3*s**2. Calculate g*b(m) + 2*d(m).
-m**2 - 1
Let k(d) = d. Let p(t) = -2*t + 1. Give -k(g) - p(g).
g - 1
Let s(o) = 4*o + 9. Let a(r) = r. Calculate 3*a(b) - s(b).
-b - 9
Let o(l) = 0 + 15*l**2 + 4 - 20*l**2 + 3*l. Suppose 0*y - y = -5. Let j(m) = 9*m**2 - 5*m - 7. Give y*o(u) + 3*j(u).
2*u**2 - 1
Let g(f) = -14*f**3 - 11*f**2 + 11. Suppose 0 = -h - 1 + 2. Suppose -d + 3 + h = 0. Let b(m) = 5*m**3 + 4*m**2 - 4. Calculate d*g(i) + 11*b(i).
-i**3
Let c(s) = -3*s**3 - 5*s**2 - 5. Let m(l) = 4*l**3 + 5*l**2 + 5. Let h(u) = -5*u**3 - 6*u**2 - 6. Let j(q) = -3*h(q) - 4*m(q). Give 2*c(i) - 5*j(i).
-i**3
Let q(v) = -1. Let j(x) = 10*x**2 + 12. What is -j(s) - 8*q(s)?
-10*s**2 - 4
Let s(t) = -t**2 - 24*t - 24. Let p be s(-23). Let r(c) = c**2 - 7*c + 5. Let x(f) = -f + 1. Determine p*r(q) + 5*x(q).
-q**2 + 2*q
Let d = 3 + -1. Let q(h) = 0*h + d + 7*h + 4 - h. Let z(o) be the second derivative of o**3/3 + o**2 - o. Calculate -2*q(j) + 7*z(j).
2*j + 2
Let n(v) = -20*v - 6. Let q(a) = -4*a - 1. Calculate -2*n(d) + 11*q(d).
-4*d + 1
Let d(x) = -2*x**2 + 5*x + 3. Let s(p) = -2*p**2 + 6*p + 3. Suppose 12*i - 13*i - 15 = 0. Let b = i + 21. Calculate b*d(v) - 5*s(v).
-2*v**2 + 3
Let z(m) = -10*m + 165. Let x(p) = -3*p + 55. What is 7*x(r) - 2*z(r)?
-r + 55
Let c(z) = 196*z**2 - 42*z + 42. Let h(i) = -23*i**2 + 5*i - 5. Determine -5*c(l) - 42*h(l).
-14*l**2
Let j(h) be the first derivative of -5*h**2 + 1. Let o(v) = 28*v. Let p(a) = a. Let s(n) = o(n) - 35*p(n). Let k = -4 + 11. Determine k*s(m) - 5*j(m).
m
Let v(b) = -9*b**3 + 11*b + 9. Let a(u) = 5*u**3 - 6*u - 5. Suppose 0 = s - 4*d + 5 + 1, 0 = -d. What is s*v(w) - 11*a(w)?
-w**3 + 1
Let d(v) be the first derivative of v**4/4 + v**3 + 5*v**2/2 + 5*v + 6. Suppose -4*c - 12 - 4 = 0. Let q(l) = -l**3 - 2*l**2 - 4*l - 4. Give c*d(j) - 5*q(j).
j**3 - 2*j**2
Let y(b) = b**2 + 153*b - 80*b + 5 - 78*b. Let n(v) = -v**2 + 4*v - 4. Let m be 4 - (1 - (-1)/(-1)). Determine m*y(s) + 5*n(s).
-s**2
Let z(c) = 5*c + 1. Let r(p) = 2*p + 1. Calculate -9*r(a) + 4*z(a).
2*a - 5
Let k(f) = -6*f - 1. Let x(j) = j. Let h = 0 + 1. Give h*k(i) + 3*x(i).
-3*i - 1
Let b(o) = -3*o - 17. Suppose d - 8 = -2*q, 4*q = 2*d - 0*q. Let a(l) = l**3 - 3*l**2 - 5*l + 4. Let r be a(3). Let t(x) = -x - 6. Give d*b(c) + r*t(c).
-c - 2
Suppose 5*o - 2*z + 32 = 0, -o - 3*z - 1 = 2*z. Let p(f) be the second derivative of -f**3/6 - 7*f**2/2 + 2*f. Let w(u) = -u - 8. Give o*p(i) + 5*w(i).
i + 2
Let f(u) = -5*u**3 + 2*u**2 - 2*u - 2. Let i(p) be the first derivative of -9*p - 21/4*p**4 - 9/2*p**2 + 3*p**3 - 3. What is -9*f(t) + 2*i(t)?
3*t**3
Let v(i) be the second derivative of -i**4/6 - i**3/6 - 2*i**2 + 2*i + 31. Let o(m) = -5*m**2 - 3*m - 11. Give 4*o(f) - 11*v(f).
2*f**2 - f
Suppose 0 = -2*v + 1 + 3. Let t(b) = b - 1. Let d(z) be the second derivative of -z**2 - 25*z. Calculate v*t(w) - 2*d(w).
2*w + 2
Let o(c) = 9*c**3 - 19*c**2 + 7*c - 7. Let z(l) = 4*l**3 - 9*l**2 + 3*l - 3. Let r = 192 - 195. Determine r*o(f) + 7*z(f).
f**3 - 6*f**2
Let k(x) = -5*x + 3. Let r(w) = 6*w - 1. Let s(z) = -4*k(z) - 3*r(z). Let a(q) = -q + 4. What is -9*a(g) - 4*s(g)?
g
Let r(g) = -6*g - 14. Let a(u) be the second derivative of -u**3/3 - 5*u**2/2 - u. Determine -8*a(x) + 3*r(x).
-2*x - 2
Let c(x) = 2*x**3 + 9*x**2 + 117*x + 9. Let j(t) = -t**3 - 4*t**2 - 58*t - 4. Determine -4*c(r) - 9*j(r).
r**3 + 54*r
Let g(j) = -23*j + 9. Let x(v) = -12*v + 5. Calculate 3*g(s) - 5*x(s).
-9*s + 2
Let r = 11 - 10. Suppose 5 = 2*l - r. Let y(c) = 5*c**3 - 3*c**2 + 4. Let s(m) = -4*m**3 + 2*m**2 - 3. What is l*y(a) + 4*s(a)?
-a**3 - a**2
Let q(l) = -4*l**3 + 3*l**2 - 5*l. Let h(g) = -6*g**3 + 5*g**2 - 8*g. Suppose 5*j - 9 = 31. Give j*q(m) - 5*h(m).
-2*m**3 - m**2
Let l(k) = 3*k - 3. Let t(u) = 5*u + 1. Let h(x) = -x. Let j(y) = 6*h(y) + t(y). Determine 17*j(i) + 6*l(i).
i - 1
Let f(g) = g**2 - g - 1. Let v be 24/9 + (3 - 22/6). Let y(x) = 1. What is v*y(b) + 2*f(b)?
2*b**2 - 2*b
Let f(l) = 3*l**2 - 2*l + 4. Let a(b) = b**2 + 1. What is 4*a(p) - f(p)?
p**2 + 2*p
Let p(y) = 1. Let v(q) = 13*q - 13. Let j(z) = -4*p(z) + v(z). Let w(h) = 7*h - 9. Calculate -6*j(b) + 11*w(b).
-b + 3
Let z(h) = h**3 - h - 1. Let g be z(2). Let b(f) = 0 + 2 + 1 + 4*f - g + 2*f**2. Let c(o) = o**2 + 3*o - 1. Calculate 2*b(a) - 3*c(a).
a**2 - a - 1
Let p(b) = -10*b**3 + b**2 - 6*b + 6. Let i(o) = 18*o - 11*o - 1 - 39*o**3 - o**2 + 50*o**3 - 6. Determine 6*i(f) + 7*p(f).
-4*f**3 + f**2
Let v(y) = y**2 - y - 1. Let x(w) = w**2 - 5*w - 2. Suppose r = 2*a + 11, 0 = -r - 2*r + 15. Give a*v(f) + x(f).
-2*f**2 - 2*f + 1
Let k(a) = -5 + 0*a**3 - 8*a + 13*a + 4*a**3. Let w(l) = -3*l**3 - 4*l + 4. Determine 4*k(h) + 5*w(h).
h**3
Let a(m) = -29*m**3 - 2 + 26*m**3 - m + m. Let u(q) = -9*q**3 - 6. Give 7*a(z) - 2*u(z).
-3*z**3 - 2
Let o(v) be the first derivative of -v**3/3 + v**2 + 2*v + 1. Let z(m) = -77*m - 2 + 78*m + 3. What is o(y) - 2*z(y)?
-y**2
Let n(w) = -8*w**2 + 6*w + 6. Let l(h) = -35 + 17 - h + h**2 + 17. Determine -6*l(v) - n(v).
2*v**2
Let r(u) = 4*u**2 - 4*u + 5. Suppose 0 = 3*l + 2*o - 2, -3*l = o - 0*o - 4. Let d = -3 - l. Let p(f) = 9*f**2 + 8 - 1 - 3*f**2 - 6*f. What is d*p(m) + 7*r(m)?
-2*m**2 + 2*m
Let r(d) = d + 4. Let b(x) be the first derivative of 1/2*x**2 + 5*x - 2. Suppose 3*y = -5*z + z + 37, 2*y - 5*z = -6. Determine y*r(h) - 6*b(h).
h - 2
Let s(l) = l**2. Let d(g) = -g**3 - 17*g**2 - 2*g - 38. Let t be d(-17). Let a(j) = 2*j**2 - 2*j - 2. What is t*s(y) + a(y)?
-2*y**2 - 2*y - 2
Let b(l) = -l**2 - 5*l + 2. Let a be b(-5). Let f be 4/(-6) - (-2)/3. Let v(p) = f*p - a*p + 1 + 0*p. Let h(r) = -2*r + 1. What is 4*h(j) - 3*v(j)?
-2*j + 1
Let p(k) = 5*k + 5. Let c(r) = 5*r + 4. Let i(h) = 6*c(h) - 4*p(h). Let l(o) = -2*o - 1.