b**3 + 3*b**2 + 4
Let k be (20 - 0)/(3 - 2). Suppose -v + k = 4*v. Let d(o) be the third derivative of -o**6/40 - 2*o**2. Let w(z) = 2*z**3. Give v*d(h) + 7*w(h).
2*h**3
Let b(s) = -s**2. Let c(r) = 2*r**2. Suppose 0 = -3*w - 21 - 0. Determine w*b(n) - 5*c(n).
-3*n**2
Suppose 6*j - j = 35. Let t(l) = -7*l - 829 + 829 - 6*l**2 + 10*l**3. Let s(o) = -3*o**3 + 2*o**2 + 2*o. What is j*s(w) + 2*t(w)?
-w**3 + 2*w**2
Let j(k) = 0 - 8 + 2 - k. Let i(c) = c + 5. Let a be (0 + (3 - 1))/(9/(-18)). Determine a*i(b) - 3*j(b).
-b - 2
Let w(t) = t**2. Let v(i) = 15*i**2 + 9*i - 2. Let r(m) = -v(m) + 6*w(m). Let l(u) = -4*u**2 - 4*u + 1. Determine -7*l(s) + 3*r(s).
s**2 + s - 1
Let x(a) = a**2 + a + 1. Let q(v) = -17*v**2 - 3*v - 3. What is -q(w) - 3*x(w)?
14*w**2
Let o(i) = i + 1. Let a(h) = -6. Give a(r) + 4*o(r).
4*r - 2
Let h(m) = 13*m - 6. Let u(t) = 14*t - 7. Calculate -7*h(w) + 6*u(w).
-7*w
Let m(o) = -o**2 - o + 1. Let l(f) = 33*f**2 - 7*f + 6. Give l(p) - 6*m(p).
39*p**2 - p
Let v(c) = -4*c**2 - 10*c + 5. Let h(z) be the third derivative of -z**5/30 - 5*z**4/24 + z**3/3 + 31*z**2. Determine -5*h(u) + 2*v(u).
2*u**2 + 5*u
Let h(b) = -5*b - 3. Let m = 24 - 17. Suppose -7 = 2*f - i, -3*i = f - 0 + m. Let y(t) = -3*t - 2. What is f*h(q) + 7*y(q)?
-q - 2
Let g(s) = s**2 - 2*s + 2. Let a(m) = 4*m**2 - 11*m + 11. Suppose -3*v = 3*o - 6, 0 = v + 4*o + 14 - 28. What is v*a(f) + 11*g(f)?
3*f**2
Let y(b) = 6*b. Let k(q) be the second derivative of -q**3/6 - 24*q. What is 4*k(o) + y(o)?
2*o
Let x(w) = 25*w - 12. Let o(k) = -6*k + 3. Give 9*o(r) + 2*x(r).
-4*r + 3
Let k(j) = 1. Let u(s) = 2*s + 10. Let h be ((-40)/(-8) + -7)/((-2)/(-20)). Calculate h*k(q) + 2*u(q).
4*q
Let i be 14/4 + 2/(-4). Let j(b) be the third derivative of b**4/24 + 2*b**3/3 - 6*b**2. Let g(z) = z**2 - z - 5. What is i*j(f) + 2*g(f)?
2*f**2 + f + 2
Let a be 8/4 + -1 + -5. Let r(c) be the second derivative of 11*c**5/20 + 7*c**4/12 + 2*c. Let g(k) = -6*k**3 - 4*k**2. What is a*r(y) - 7*g(y)?
-2*y**3
Suppose -6 = -3*y - 3*i, 0*y = -4*y - 2*i. Let u(a) = a**3 + 1. Let d be ((-2)/(-4))/((-3)/(-12)). Let c(t) = 1 + d - 5. Calculate y*u(s) - c(s).
-2*s**3
Let q(b) = 118*b + 126*b - b**2 - 241*b. Let u(m) = m - 1 - 3*m**2 + 2*m + 4*m. What is 5*q(g) - 2*u(g)?
g**2 + g + 2
Let c = 103 - 108. Let i(r) = 14*r**3 + 8*r**2 + 8*r. Let y(u) = 9*u**3 + 5*u**2 + 5*u. Calculate c*i(o) + 8*y(o).
2*o**3
Let l(g) = -35*g**3 + 2*g**2 + 2. Let z(i) = -5809*i**3 + 333*i**2 + 333. What is 333*l(c) - 2*z(c)?
-37*c**3
Let k(m) = -21*m**2 - 11*m - 5. Let w(s) = -4*s**2 - 2*s - 1. Let f(h) be the first derivative of -h**2/2 + 5*h + 2. Let x be f(3). Determine x*k(d) - 11*w(d).
2*d**2 + 1
Let m = -7 + 8. Suppose 3*r - m = 2. Let w(b) = -2*b**2 - 2*b - 2. Let l(d) be the second derivative of -d**3/6 - d**2/2 - d. Give r*w(s) - 2*l(s).
-2*s**2
Let n(f) = -2*f - 6. Let d(k) = -109*k + 227*k + 5 - 116*k. What is 6*d(t) + 5*n(t)?
2*t
Let u(j) = j + j**3 + 5*j - 10*j**3 + 4*j**3. Let z(i) be the first derivative of 11*i**4/4 - 13*i**2/2 + 3. Calculate -13*u(s) - 6*z(s).
-s**3
Let y(c) = -7*c**2 - 3 + 2*c**2 + 5 + c**3 + 1. Let a(f) = 2*f**2 - 1. What is -5*a(i) - 2*y(i)?
-2*i**3 - 1
Let i(v) = -9*v + 5. Let o(h) = 98*h - 56. Give -56*i(y) - 5*o(y).
14*y
Let s(y) = -y - 1. Let d(z) = -11*z - 4. Calculate -d(v) + 6*s(v).
5*v - 2
Let u(l) = -l**2 - l. Let w = 32 + -18. Let t = w - 10. Let d(q) = 3*q**2 + t + 2*q + 2*q**3 + 3 - 7. Determine d(v) + 3*u(v).
2*v**3 - v
Let z(o) = -2*o - 2. Let j(t) = -t - 2. Let p = 85 + -82. Give p*j(d) - 2*z(d).
d - 2
Let n(q) = -1. Let s(b) be the second derivative of -b + 0 + 2*b**2 - 1/6*b**3. Let l = -3 - -2. Give l*s(y) - 2*n(y).
y - 2
Let j(r) = 4*r + 2. Let m(i) = -5*i + 4. Let l(o) = 1. Let p(n) = -6*l(n) + m(n). Give 4*j(a) + 3*p(a).
a + 2
Let a = 0 + -4. Let y = a + 6. Let l be 2/(-6) + (-16)/(-3). Let w(m) = 3*m**3 - 4*m**2 - 5*m + 7. Let i(h) = -h**3 + 2*h**2 + 2*h - 3. Give l*i(z) + y*w(z).
z**3 + 2*z**2 - 1
Let m(f) = f**3 - f**2 - 1. Let b(r) = 2*r**3 - 3*r**2 - 7. Let z be 6/(-27) + 7/(-9). Determine z*b(d) + 3*m(d).
d**3 + 4
Let x(y) = 130*y - 16. Let a(i) = -26*i + 3. Determine 16*a(w) + 3*x(w).
-26*w
Let y(u) = u**2 + 4. Let s be (21/(-14))/((-15)/(-50)). Let l(f) = f**2 + 6. Determine s*l(n) + 8*y(n).
3*n**2 + 2
Let x(g) = -g**2 + 3*g + 2. Suppose -2*z - 25 = 3*z. Let u(d) = -d - 1. Calculate z*u(j) - 2*x(j).
2*j**2 - j + 1
Let l(f) = 505*f**2 + 45*f + 45. Let z(c) = -23*c**2 - 2*c - 2. What is 2*l(k) + 45*z(k)?
-25*k**2
Let k(g) = 6*g**3 - 17*g**2 + 11*g - 17. Let i(l) = -2*l**3 + 6*l**2 - 4*l + 6. Determine -17*i(p) - 6*k(p).
-2*p**3 + 2*p
Let q(c) = 8*c**2 - c + 3. Let w(v) = 7*v**2 - v + 2. Suppose -b - 3*b - 26 = -2*j, 2*b + j = -11. Let s = -9 - -14. Give b*w(y) + s*q(y).
-2*y**2 + y + 3
Suppose 23*y - 26*y - 12 = 0. Let h(m) = 15*m**3 - 9*m. Let q(n) = 9*n. Let w be q(1). Let b(p) = 7*p**3 - 4*p. What is w*b(i) + y*h(i)?
3*i**3
Let j(k) = -3*k**3 + 3*k**2 - 5*k - 4. Let u(r) = -7*r + 11 + 8*r + 5*r + 8*r + 8*r**3 - 8*r**2. What is 11*j(m) + 4*u(m)?
-m**3 + m**2 + m
Let w(x) = 3*x**2 - 5*x - 9. Let s(h) = -4*h**2 + 6*h + 8. Give -4*s(b) - 5*w(b).
b**2 + b + 13
Let p(k) = 27*k**3 + 3*k**2 + 3*k. Let w(r) = 244*r**3 + 28*r**2 + 28*r. Calculate -28*p(m) + 3*w(m).
-24*m**3
Suppose -h + 0 = -3*b - 1, 4*h - 84 = -4*b. Let y(c) = 3*c**2 - 5. Let k(s) = -10*s**2 + 16. What is h*y(j) + 5*k(j)?
-2*j**2
Let h(n) be the third derivative of n**5/20 + 5*n**2. Let u(c) = 6*c**2. Determine -9*h(y) + 4*u(y).
-3*y**2
Let f(s) = -3. Let i(d) = 2. Let z(x) = -5*f(x) - 6*i(x). Let k(t) = t - 2. Calculate 3*k(c) + 2*z(c).
3*c
Suppose 5 = -5*g - 4*k, -1 = g - k + 4*k. Let m(b) = 4*b**3 - 3*b**2 + 3. Let o(t) = t**3 - t**2 + 1. What is g*m(l) + 3*o(l)?
-l**3
Let x(a) = 26 - 10 - 3*a**3 - 16*a**2 + 13*a**3. Let j(s) = -2*s**3 + 3*s**2 - 3. Suppose 0 = -3*t - 2*i + 9 + 29, -t - i + 11 = 0. Calculate t*j(c) + 3*x(c).
-2*c**3
Let t(d) be the first derivative of d**3/3 - 6*d + 2. Let o(y) = 2*y**2 + 3*y + 2. Let a(u) = -u**2 - 2*u - 3. Let z(i) = 3*a(i) + 2*o(i). Give 5*t(s) - 6*z(s).
-s**2
Let w(g) = g**2 - g. Let c(i) = 2*i**3 - 5*i**2 + 6*i - 2. Determine -c(u) - 6*w(u).
-2*u**3 - u**2 + 2
Suppose 9 = -3*m - 4*h, 6*m = 4*m - 2*h - 6. Let b be -1 + 0/m - 33. Let o(w) = -4*w - 1. Let l(i) = -23*i - 6. Give b*o(g) + 6*l(g).
-2*g - 2
Let f(r) = -11. Let n(v) = -v - 1. Give f(c) - 11*n(c).
11*c
Let j(d) = 2. Let s(a) = 4*a - 13. Let n(b) = 5*j(b) + s(b). Suppose 5*l + 3*q + 17 = 0, -5*l - q = 3*q + 16. Let t(m) = 3*m - 2. Determine l*n(w) + 6*t(w).
2*w
Suppose -3*m - m - 28 = 4*y, 3*y = 3*m - 9. Let h(r) = -2*r - 4. Let k(u) = -2*u - 5. Calculate y*h(l) + 4*k(l).
2*l
Let y(f) = -5*f + 2. Let p(l) = 21*l - 9. Determine 2*p(h) + 9*y(h).
-3*h
Suppose 5*a + 2*h - 23 = 0, -2*a + 5*h - 16 = -2. Let x(w) = -7*w**3 + 3*w**2 + 3*w. Let t(r) = 15*r**3 - 7*r**2 - 7*r. Give a*t(p) + 7*x(p).
-4*p**3
Let w = 5 - 0. Let n(i) = -i**2 - 16*i + 19. Let f be n(-17). Let j(g) = g**3 + g - 2. Let u(r) = -3*r**3 - 3*r + 5. Give f*u(v) + w*j(v).
-v**3 - v
Let h(j) = j. Let r be h(-2). Let c(w) = -325*w + 166*w - w**2 + 162*w - 3. Let b(a) = -2*a**2 + 2 - 2*a**2 + 4*a**2 + a**2 - 2*a. Calculate r*c(m) - 3*b(m).
-m**2
Let x be 3/(-3)*(2 + -3). Let y(s) = -s**2 - 4*s + 5. Let k(d) = -d + 1. Calculate x*y(t) - 3*k(t).
-t**2 - t + 2
Let t(y) = 3*y**3 + y**2 + 9*y + 2*y**3 + 4*y**2. Let c(x) be the first derivative of x**4 + 4*x**3/3 + 4*x**2 + 25. Determine -7*c(s) + 6*t(s).
2*s**3 + 2*s**2 - 2*s
Let u(n) be the first derivative of n**2/2 + 2*n + 15. Let x(c) = c + 1. What is u(z) - 3*x(z)?
-2*z - 1
Let h(o) = -6*o - 1. Let w(x) = -2*x. Determine 3*h(q) - 8*w(q).
-2*q - 3
Let s(t) = t**2 - 4*t**2 + 4 + t**2. Let a(z) = -z - 8. Let x be a(-5). Let j(f) = -2*f**2 + 3. Calculate x*s(h) + 4*j(h).
-2*h**2
Let p(f) = -3*f**2 - 2*f - 2. Suppose -3*k - 2*b - 12 = 0, -k - 3*b - 1 = -4. Let d = 3 + k. Let n(s) = 2*s**2 + s + 1. What is d*p(z) - 4*n(z)?
z**2 + 2*z + 2
Let y(k) = k + 9. Let h(v) = -2*v - 10. What is -5*h(q) - 6*y(q)?
4*q - 4
Let n(g) = 4*g + 5. Suppose 11*y = 7*y - 48. Let f(r) = 9 - 2 + 10*r + 5. Calculate y*n(v) + 5*f(v).
2*v
Let p(l) = -9*l. Let m be -12 + 5 + (-1 + 2 - -2). Let r(d) = 80*d. What is m*r(h) - 35*p(h)?