3*a - 1
Let k(m) = 55*m**2 + m - 9. Let y(p) = -28*p**2 + 4. Determine 2*k(v) + 5*y(v).
-30*v**2 + 2*v + 2
Let y(n) = n - 1. Let o(k) = 4*k - 3. What is 3*o(t) - 8*y(t)?
4*t - 1
Let r(k) = 5*k + 2. Let w(b) = 11*b + 3. Give -5*r(d) + 2*w(d).
-3*d - 4
Let v(i) = -i - 5. Let t(a) = -3 - a + 6 - a - 9. Suppose 0 = -h + 3*r - 1, 2*h + 2*r - 3 = 3*r. Let j = h - -2. Calculate j*v(c) - 3*t(c).
2*c - 2
Let z(v) = v**3 + 2*v + 8. Let c(p) = -p**3 - p - 1. Calculate -3*c(m) - z(m).
2*m**3 + m - 5
Let a(k) = -7*k - 7. Let i(q) = 6*q + 6. Let j(f) = 2*f + 2 - 3 + 0*f - 7. Let v be j(6). Give v*a(d) + 5*i(d).
2*d + 2
Let j(i) = -i**2 - i - 1. Let q(v) = -10*v**2 - 17*v - 11. Calculate -22*j(u) + 2*q(u).
2*u**2 - 12*u
Let y(n) = 25*n + 6. Let z(o) = 25*o + 5. Determine -5*y(t) + 6*z(t).
25*t
Suppose 3*c - 14 = -k, -2*c = 4*k - 5*c + 4. Let p(f) = f**2 - f. Let l(x) be the third derivative of -x**5/20 + 10*x**2. What is k*p(s) + l(s)?
-s**2 - 2*s
Suppose 3*m + 8 = 5*m. Let t(w) = -6*w + 10*w + 5*w - 6*w - 2. Suppose 4*k - 3*k = -7. Let h(f) = 2*f - 1. Determine k*h(l) + m*t(l).
-2*l - 1
Let b(w) = w + 1. Let k(y) = -6*y - 5. Let a(n) = 17*n + 15. Let s(g) = 2*a(g) + 7*k(g). Calculate 6*b(o) + s(o).
-2*o + 1
Let t(f) = 4*f + 4. Let g(d) = d - 1. Determine 3*g(m) - t(m).
-m - 7
Let p(g) be the third derivative of -g**6/120 - 13*g**5/60 - 7*g**2. Let t(f) = f**3 + 9*f**2. Calculate 5*p(l) + 7*t(l).
2*l**3 - 2*l**2
Let v(n) = 3*n**2 - 7*n. Let c(h) be the second derivative of h**4/6 - 2*h**3/3 - 8*h. Calculate 5*c(k) - 3*v(k).
k**2 + k
Let h = 23 + -14. Let v(b) = 28*b - 17*b - 12*b - h. Let k(o) = 4. Determine 5*k(i) + 2*v(i).
-2*i + 2
Suppose 2*j - 4*s = 3*j - 2, j - 5*s + 16 = 0. Let h(f) = -4*f**3 - f**2 + f - 3. Let t(z) = -23*z**3 - 6*z**2 + 6*z - 17. What is j*t(b) + 34*h(b)?
2*b**3 + 2*b**2 - 2*b
Let h(r) = -r**3 - 2*r. Let g(z) = z**2 - z - 7. Let o be g(-3). Let p(t) = -t + 5*t + t**3 - t. Calculate o*h(j) + 3*p(j).
-2*j**3 - j
Let b(c) = 4*c - 5. Let q(f) = 2 - 2 - 4 + 3*f. Calculate 2*b(s) - 3*q(s).
-s + 2
Let i(s) = -2*s**2 - 2*s + s - s**3 + 1 + 3*s**2 + 2*s**3. Suppose -4*z = -2*z + 4. Let w be 0 + -1 + 9/3. Let f(d) = 2*d**2 - d + 1. Give w*i(k) + z*f(k).
2*k**3 - 2*k**2
Let r(l) = -5*l**2 + 0*l + 6*l**3 - 4*l - l. Let q(h) = 5*h**3 - 2*h**2 + h. Let v be q(1). Let g(c) = -5*c**3 + 4*c**2 + 4*c. Calculate v*r(f) + 5*g(f).
-f**3
Let f(y) = 5*y + 2. Let h(l) = 4*l + 2. Give -3*f(b) + 2*h(b).
-7*b - 2
Let r(f) be the second derivative of 0 + 7/2*f**2 - 2/3*f**4 + f - 7/6*f**3. Let t(a) = a**2 + a - 1. Calculate 2*r(w) + 14*t(w).
-2*w**2
Let d(p) = 3*p**2 + 4*p. Let k(i) = 4*i**2 + 5*i + 1. What is -6*d(m) + 5*k(m)?
2*m**2 + m + 5
Let t = 2 - 0. Let n(y) be the first derivative of -t - 2*y - 2*y**2 + y**2 + 3*y. Let d(u) = -2*u + 1. Give -4*d(l) + 5*n(l).
-2*l + 1
Let m = -12 - -17. Let n(p) = -9*p**2 + 5*p + 5. Let r(a) = 14*a**2 - 8*a - 8. Give m*r(i) + 8*n(i).
-2*i**2
Let d(f) = -f + 1. Let c(y) = 6*y + 15. Calculate -c(m) + 15*d(m).
-21*m
Let l(q) = -q - 9. Let y(s) = s + 11*s - 13 - 13*s. Suppose 0 = -0*j - j - 7. Calculate j*l(x) + 5*y(x).
2*x - 2
Let p(t) be the second derivative of t**3/6 + 3*t**2/2 - t - 6. Let w = 6 - 9. Let u(r) = r + 2. Give w*p(y) + 4*u(y).
y - 1
Let m = -25 - -32. Let n(g) = -11*g**3 + 9*g**2 - 7*g + 7. Let i(b) = 6*b**3 - 5*b**2 + 4*b - 4. Determine m*i(w) + 4*n(w).
-2*w**3 + w**2
Let o(l) = -1. Let v(a) = 3*a**2 + 2*a - 3. Determine -3*o(c) + v(c).
3*c**2 + 2*c
Let a(m) be the third derivative of m**5/15 + m**4/6 + 7*m**3/6 + m**2. Suppose s + 2 = -3. Let r(z) = -2*z**2 - 2*z - 4. Determine s*r(x) - 3*a(x).
-2*x**2 - 2*x - 1
Suppose 2*n - 10 = 2*u - 0*u, -n + 11 = -2*u. Let t(q) = 7*q + 13. Let r(l) = 4*l + 7. What is u*t(x) + 11*r(x)?
2*x - 1
Let a(v) = -5*v**2 + 6*v + 6. Let l(t) be the second derivative of -7*t**4/6 + 17*t**3/6 + 17*t**2/2 - 10*t - 2. Give 17*a(w) - 6*l(w).
-w**2
Let o(v) = 1. Let l(m) = -3*m + 8. What is l(c) - 4*o(c)?
-3*c + 4
Let u(r) = -8*r**3 - 5*r**2 + 8*r - 10. Let a(g) = -g**3 - g**2 + g - 1. Give 6*a(o) - u(o).
2*o**3 - o**2 - 2*o + 4
Let r(p) = -31*p**2 + 6. Let i(g) = -61*g**2 + 13. Determine 6*i(y) - 13*r(y).
37*y**2
Let a(h) = -2*h**3 - 3*h - 3. Let d(c) be the second derivative of c**5/10 + c**3/3 + c**2 - 18*c. Determine 2*a(r) + 3*d(r).
2*r**3
Let h(x) = 2*x - 1. Let o(s) = -2*s - 1 + 3*s - 2*s + 4*s. Let y = 9 - 5. Determine y*o(k) - 5*h(k).
2*k + 1
Let f(a) = a**3 - a**2 - a + 1. Let u(p) = -3*p**3 + 20*p**2 + 2*p - 1. What is f(n) + u(n)?
-2*n**3 + 19*n**2 + n
Let k(d) = -2*d**3 - d**2 + 0*d**3 - d**3 - 4*d**2 - 5*d. Let l(v) = -v**2 - v. Give k(b) - 5*l(b).
-3*b**3
Let q(i) = i**3 + i**2 - i. Let x(o) = o**3 + o**2 - 3*o. What is -3*q(b) + x(b)?
-2*b**3 - 2*b**2
Let k(h) = 2*h + 2. Let i(x) = -3*x - 4. Suppose -12 = 4*n - 36. Let v = n - 11. What is v*k(f) - 3*i(f)?
-f + 2
Let w(h) = -68*h**2 - 3*h - 3. Let s(i) = -3195*i**2 - 142*i - 142. Calculate -3*s(z) + 142*w(z).
-71*z**2
Suppose 19 = -s - 5*t, -3*s - 3*t - 3 + 6 = 0. Let d(g) = -2*g**3 - 6*g. Let l(x) = -2*x**3 - 7*x. Calculate s*l(y) - 7*d(y).
2*y**3
Let n = 3 + 1. Let z(l) = 0 - l + 3 - n. Let t(h) = -h**2 - 4*h - 2. Suppose 0 = -2*b - b + 6. What is b*z(s) - t(s)?
s**2 + 2*s
Let j(u) = -5*u. Let c(o) = -11*o. Give 6*c(p) - 13*j(p).
-p
Let j(t) = t**2. Suppose -4*q = q - 15. Let x(b) = -7*b**2 - b. Give q*j(v) + x(v).
-4*v**2 - v
Let f(l) = 5*l - 2. Let m(k) = k + 1. Let s(w) = 9*w - 10. Let u(z) = 5*m(z) + s(z). Let x(v) = v**2 + v - 4. Let i be x(3). What is i*f(r) - 3*u(r)?
-2*r - 1
Let l(d) = d + 1. Let c be l(-6). Let z = 1 + -1. Let y(w) = 3 - 1 + z + w. Let f(q) = -q - 2. Give c*f(t) - 6*y(t).
-t - 2
Let v(s) = 2*s**2 + 12*s - 5. Let h(k) = -k**2 - 11*k + 5. Let p(g) = 7*h(g) + 6*v(g). Let c(q) = 5*q**2 - 4*q + 4. Give -5*c(f) + 4*p(f).
-5*f**2
Let u(f) = -f + 1. Let p(v) = 2*v - 3. Give -p(c) - u(c).
-c + 2
Let i(y) = y - 1. Let g(r) = 2*r**2 - 1. Give -g(p) + i(p).
-2*p**2 + p
Let j(i) = 4*i - 11. Let k(q) = -q + 3. Let n(h) = -h**3 + 5*h**2 - 6*h + 8. Let x be n(5). Give x*k(s) - 6*j(s).
-2*s
Let v(h) = 4*h - 5. Let j(o) = -3*o + 4. Determine -6*j(u) - 5*v(u).
-2*u + 1
Let g(m) = 6*m**3 + 7*m**2 - 5*m. Let z(i) be the second derivative of 7*i**5/20 + 2*i**4/3 - i**3 - 3*i. Give 6*g(n) - 5*z(n).
n**3 + 2*n**2
Let a(p) = -p**3 - 4*p**2 - 3*p + 4. Let x(j) = j**3 + 3*j**2 + 2*j - 3. Give -3*a(f) - 4*x(f).
-f**3 + f
Let q(i) = -4*i**2 + 3*i - 7. Let h(w) = -2*w**2 + w - 4. Give -7*h(u) + 4*q(u).
-2*u**2 + 5*u
Suppose -2*f = -5*u - f - 17, u + 1 = f. Let h be (u/(-8))/((-2)/(-8)). Let b(v) = v - v - 2 - v**h. Let r(m) = -m**2 - 4. Determine -5*b(x) + 3*r(x).
2*x**2 - 2
Let s(v) = -2*v**3 + 7*v**2 + 3*v - 5. Let g(k) = -k**2 - k + 1. Determine -5*g(t) - s(t).
2*t**3 - 2*t**2 + 2*t
Let g(m) = -4*m**3 - 5*m**2 - 5*m - 6. Let b(t) = -t**3 - t**2 - t - 1. Determine 5*b(z) - g(z).
-z**3 + 1
Let u(x) = -6*x + 33. Let f(p) = -3*p + 16. Give 13*f(q) - 6*u(q).
-3*q + 10
Let a(c) = 5*c**2 - 2. Suppose 3*g + 3*t = 6 + 18, g - 20 = -5*t. Let n(z) = 11*z**2 - 4. What is g*a(r) - 2*n(r)?
3*r**2 - 2
Suppose -3*h - 1 - 29 = 0. Let p(u) be the second derivative of -u**3/6 + 5*u**2 - u. Let a(j) = 2 + 2 - 2. Give h*a(v) + 2*p(v).
-2*v
Let q(x) = x**2 + x. Suppose 0 = -4*l - 0*l. Let d = 2 + l. Let v(r) be the first derivative of -2*r**2 + r - 2. What is d*q(f) + v(f)?
2*f**2 - 2*f + 1
Let k(z) = -11*z**2 + 8*z. Let b(t) be the second derivative of -t**4/3 + t**3/2 + 6*t. Let d = 3 - 6. Calculate d*k(a) + 8*b(a).
a**2
Let w(f) = f**3 + f**2 + f. Suppose 3*d = 2*z + 11, 2*z = -3*d + 4*d - 9. Let y(o) = -8*o**3 - 6*o**2 - 5*o. Calculate d*y(m) + 6*w(m).
-2*m**3 + m
Let i(a) = 125*a. Let b(f) = -9*f. Let n(m) = -55*b(m) - 4*i(m). Let z(s) = -s. Suppose 0*v - 4*v - 8 = 0. Let x = v - -3. Give x*n(p) - 3*z(p).
-2*p
Let k(t) = 3*t + 6. Suppose -n = -2*m - 6, 5*n = 4*m + 24 + 6. Let v(r) be the first derivative of -r + 20. Give n*v(a) + k(a).
3*a
Suppose 3*q = -4*p + 14, 5*q - 1 = -p + 11. Let x be p/(-6) + (-51)/9. Let h(a) = -a. Let y(l) = 4*l. Calculate x*h(u) - 2*y(u).
-2*u
Let f(y) = -12*y + 1. Let i(b) = -13*b + 1. Calculate 5*f(x) - 4*i(x).
-8*x + 1
Let i(h) = -h**3 + h**2 + 1. Let s(t) = -5*t**3 + 74*t**2 + 4. Calculate -4*i(d)