k**3 + k**2
Let t(w) = -13*w + 5. Let c(m) be the second derivative of -m**3 + m**2 + 13*m. Give 7*c(y) - 3*t(y).
-3*y - 1
Let k(w) be the first derivative of w**2/2 + w - 137. Let z(x) be the third derivative of 0*x + x**2 + 0*x**3 + 0 + 1/24*x**4. What is k(n) - 3*z(n)?
-2*n + 1
Let q(h) = 2*h**2 - 10*h + 10. Let s(d) = -1 - d + 4 - 2. Let a be (4 - 3)*(-28 + 1). Let r = a + 15. Determine r*s(o) + q(o).
2*o**2 + 2*o - 2
Let u(r) = -5*r**3 + 4*r**2 - 5*r. Let f(g) = -4*g**3 + 3*g**2 - 4*g. Calculate 3*f(h) - 2*u(h).
-2*h**3 + h**2 - 2*h
Let n(q) = q**3 + 4*q**2 - q - 5. Let z be n(-4). Let r(h) be the first derivative of h**2/2 - h + 18. Let i(b) = b**3 - 5*b + 5. What is z*i(t) - 5*r(t)?
-t**3
Let s = -5 - -16. Suppose 0 = -3*l + s + 7. Let j(h) = 11*h + 20. Let t(p) = -1. Let w(a) = -4*a - 3. Let c(z) = 4*t(z) + w(z). Calculate l*j(v) + 17*c(v).
-2*v + 1
Let p(u) = 1. Let r(a) = 4*a - 16. Give -12*p(d) - r(d).
-4*d + 4
Let c(n) = -n**3 - 5*n**2 - 2*n - 5. Let j(b) = b**2. Let w(q) = 2*q**2 + 1. Let r(x) = j(x) - w(x). Give c(g) - 5*r(g).
-g**3 - 2*g
Let z(x) = -6*x - 31. Let n(f) = -2*f - 10. What is -7*n(c) + 2*z(c)?
2*c + 8
Let w(d) = 3*d**2 + 8*d - 5. Let a(n) = 3*n**2 + 9*n - 6. Calculate 6*a(h) - 7*w(h).
-3*h**2 - 2*h - 1
Let j = 6 - -4. Let a(x) = x**2 - x. Let s(h) = -h**2 - 5*h - 5. Let p(q) = -q**2 - 1. Let c(r) = 5*p(r) - s(r). What is j*a(f) + 2*c(f)?
2*f**2
Let o(x) = -2*x + 9. Let n(h) = -h + 8. Give -6*n(s) + 5*o(s).
-4*s - 3
Let r(p) = -p**3 + 6*p - 6. Suppose 19*i + 100 = 14*i. Let a = 26 + i. Let l(d) = -d**3 + 7*d - 7. Calculate a*l(q) - 7*r(q).
q**3
Let r(u) = -u - 1. Let j(l) = l**3 + 5*l + 10. Determine j(q) + 5*r(q).
q**3 + 5
Let z(a) = a**3 + a**2 - 1. Let y(j) = -10*j**3 - 6*j**2 + 2*j + 5. What is y(h) + 6*z(h)?
-4*h**3 + 2*h - 1
Let v(z) = 6*z - 15. Let i(p) = 3*p - 12. Let b(k) = -3*k + 11. Let x(r) = -5*b(r) - 4*i(r). What is 6*v(g) - 13*x(g)?
-3*g + 1
Let c(u) be the first derivative of -u + 2. Let z(x) = -2*x - 3. Let i be z(-2). Let p(h) = h + 1. Suppose -4*g + 4 + 0 = 0. What is g*p(j) + i*c(j)?
j
Let d(n) = -n**3 - n**2 - n + 1. Let u(w) be the first derivative of -2*w**4 - 5*w**3/3 - 3*w**2 + 4*w + 2. Calculate 6*d(b) - u(b).
2*b**3 - b**2 + 2
Let s(w) = w + 1. Let m(n) = -6*n - 6 + 6 + 4*n. Suppose 11 = -3*p - 7. Let h(a) = 7*a. Let k(x) = p*h(x) - 22*m(x). Determine k(d) - s(d).
d - 1
Let q be (-1)/(-4) - 3/(-4). Let l(x) be the third derivative of 7*x**5/60 - x**4/4 - 5*x**3/6 + 3*x**2. Let z(a) = a**2 - a - 1. Calculate q*l(k) - 6*z(k).
k**2 + 1
Let s = 5 - 5. Suppose s*v + 10 = -5*v. Let g(o) = o + 2. Let b(n) = -2*n - 3. What is v*b(z) - 3*g(z)?
z
Let c(n) = 0 + 3 + n - n**2 - 2. Let j(k) = -5*k**2 + 3*k + 4. Let i = -12 + 17. Let d = i - 8. What is d*c(t) + j(t)?
-2*t**2 + 1
Let i(r) = -r**2 - 2*r + 4. Let u be 43/4 - 1/(-4). Suppose o - u = 2*j, 2*j + 2*o = -j - 13. Let g(m) = m**2 + 2*m - 5. Calculate j*i(x) - 4*g(x).
x**2 + 2*x
Let q(y) = 2*y**2 + 2*y + 1. Let w(x) = -4*x**2 - 4*x - 2. Give 7*q(n) + 3*w(n).
2*n**2 + 2*n + 1
Let k(o) = o**2 - 8*o - 8. Let p(l) = -l + 1. Give -k(w) - 6*p(w).
-w**2 + 14*w + 2
Let q(d) = 10*d**2 + d - 4. Let n(f) = -f**2 + 1. Give -3*n(i) - q(i).
-7*i**2 - i + 1
Let o(c) = -c. Let n(r) = -2*r**2 + 8*r - 3. Give n(y) + 6*o(y).
-2*y**2 + 2*y - 3
Let u(r) = r + 4. Let t(i) = i**3 + 14*i**2 + 13*i + 4. Let s be t(-13). Let b(j) = -9*j - 33. What is s*b(a) + 33*u(a)?
-3*a
Let u(f) = -10*f**3 + 14*f**2 + 14. Let l(p) = -2*p**3 + 3*p**2 + 3. Suppose -1 = -k - 0. Let a = k + -15. Let v = 7 + -4. Determine a*l(b) + v*u(b).
-2*b**3
Let j(w) = -w**2. Let c(z) = -z**2 + 2*z. Let o be c(2). Let p(b) = -5*b + o*b + 4*b - 7*b**2. Calculate -6*j(m) + p(m).
-m**2 - m
Let f(c) = -c**2 + c + 1. Let i(h) = 4*h**3 + 6*h**2 - 6*h - 4. Calculate -6*f(o) - i(o).
-4*o**3 - 2
Let k(x) = -x**2 - 6*x. Let h be k(-5). Let f = 73 - 81. Let p(n) = -6*n + 3*n - 4 - 2. Let a(o) = -2*o - 4. Determine f*a(l) + h*p(l).
l + 2
Let f(r) = 3*r**2 + r - 3. Let v = 23 - 16. Let x(b) be the third derivative of -b**5/6 - b**4/6 + 5*b**3/3 - b**2. What is v*f(o) + 2*x(o)?
o**2 - o - 1
Let f(u) = 6*u**3 - 8*u**2 + 74. Let s(x) = 2*x**3 - 3*x**2 + 25. Calculate -3*f(q) + 8*s(q).
-2*q**3 - 22
Let l(w) = 3*w - 4. Let c(y) = -11*y**2 + 43*y - 5. Let s be c(4). Let b(m) = -5*m + 9. Calculate s*l(f) - 4*b(f).
-7*f
Let n(g) = 7*g + 3. Let o(a) = -15*a - 7. Give -5*n(h) - 2*o(h).
-5*h - 1
Let p(z) = -4*z**2 - 7*z. Let r(x) = 9*x**2 + 15*x - 1. Give -5*p(m) - 2*r(m).
2*m**2 + 5*m + 2
Let b(q) = -q + 1. Suppose 4 + 11 = -3*c. Let a(j) = 4*j - 1. Determine c*b(x) - a(x).
x - 4
Let d(r) = 6*r - 7*r - 3 + 0. Suppose 4*o + 16 = 0, 2*k + 0*o = -3*o - 4. Let t(b) be the second derivative of b**2/2 + b. Calculate k*t(p) + d(p).
-p + 1
Let i(q) = 9*q**2 + 2*q + 1. Let o(p) be the second derivative of p**4/3 + p**3/6 - 22*p. Calculate -2*i(c) + 5*o(c).
2*c**2 + c - 2
Let l(t) be the second derivative of 3*t**5/5 + t**4/2 - t**3 - t**2/2 - 3*t. Let a(q) = 35*q**3 + 17*q**2 - 17*q - 3. Calculate 6*a(b) - 17*l(b).
6*b**3 - 1
Let l(n) be the second derivative of n**3/6 + 19*n. Let v(t) = -4*t. Give -30*l(i) - 6*v(i).
-6*i
Let b(q) = 1. Let t(p) = -39*p - 13. Calculate 13*b(o) + t(o).
-39*o
Let s(b) = -b**2 + 4*b + 4. Let h(i) be the third derivative of -i**5/60 + i**4/8 + i**3/2 - 2*i**2. Give -3*h(z) + 2*s(z).
z**2 - z - 1
Let k(d) = 4*d**3 + 2*d**2 + 2. Suppose -m = 12 - 5. Let j(u) be the third derivative of -u**6/60 - u**5/60 - u**3/6 - u**2. What is m*j(a) - 4*k(a)?
-2*a**3 - a**2 - 1
Let s(o) = -4*o**3 - 5*o**2 + 3*o + 7. Let x(i) = -2*i**2 - 2*i - 6 + 6*i**2 + 3*i**3 + 0*i**3. Let m be (-23)/6 + (-9)/54. What is m*s(c) - 5*x(c)?
c**3 - 2*c + 2
Let h(n) = -9*n. Let t(y) = -22*y. Suppose 2*g - 2 = g. Suppose -g*v = 22 + 2. Determine v*h(x) + 5*t(x).
-2*x
Let c(y) = y**3 - y**2 + y. Let g(u) = u**3 + 2*u**2 - u. Calculate -2*c(j) + g(j).
-j**3 + 4*j**2 - 3*j
Let g(c) be the third derivative of c**4/8 + c**3/2 - 13*c**2. Let a(b) = -b**2 + 2*b + 2. What is -3*a(y) + 2*g(y)?
3*y**2
Let f(m) = 6*m - 3. Let u(p) be the third derivative of -7*p**4/24 + p**3/2 + 4*p**2. What is 6*f(k) + 5*u(k)?
k - 3
Let o(d) = -d**2 - 5*d - 2. Let l be o(-3). Suppose x - 5*z - 4 = 0, -2*z + 1 + 1 = -l*x. Let r(t) = -6*t - 3. Let a(i) = i + 1. Give x*r(h) - 4*a(h).
2*h - 1
Let i(g) = -3*g**2 - 5. Let n(p) = 9*p**2 + 14. Give -11*i(x) - 4*n(x).
-3*x**2 - 1
Let f(u) be the second derivative of u**4/3 + 15*u. Let i(z) = -3*z**2. What is 4*f(a) + 5*i(a)?
a**2
Let g(n) = -6*n**2 + 4 + n + 2*n**2 - n**2 + 3*n. Suppose 15 = -5*t + 4*o - 2, 0 = 4*o + 8. Let c(m) = -6*m**2 + 5*m + 5. Calculate t*g(q) + 4*c(q).
q**2
Let s be -2*1 + 119/(-119). Let a be 0 + 0 - 2/2. Let q(t) = -4*t**3 + 5*t + 1. Let y(c) = c**3 - c. Give a*q(z) + s*y(z).
z**3 - 2*z - 1
Let n(o) = o**3 + 3*o**2 - 3*o + 2. Let g = 1 + -8. Let f(w) = 2*w**3 + 7*w**2 - 7*w + 5. Suppose -4*d - 34 = 54. Let k = d + 25. Calculate g*n(c) + k*f(c).
-c**3 + 1
Let o(b) = -2*b**3 - 13*b**2 - 4*b + 4. Let v(k) = k**3 + k**2 + k - 1. Calculate -o(i) - 4*v(i).
-2*i**3 + 9*i**2
Suppose 2*n = 4*z + 4, 5*n - 32 = -3*z + 4. Let h(x) = x**2 - 4*x - 4. Let m(u) = -u. Give n*m(d) - h(d).
-d**2 - 2*d + 4
Let p(o) = -1 - o - 4*o**2 + 1. Let v(w) = w**2 - 1. Let s = 7 - 9. Let m = 0 - 1. Determine m*p(i) + s*v(i).
2*i**2 + i + 2
Let c(d) be the second derivative of -d**5/20 + 2*d. Let w(a) = 5*a**3 + 2*a**2 + 2. Determine -4*c(q) - w(q).
-q**3 - 2*q**2 - 2
Let b(g) = 4*g - 4. Suppose -4*u = 0, 3*k + 3*u = -1 + 10. Let c(o) = 7*o - 7. Calculate k*c(t) - 5*b(t).
t - 1
Let k(t) = 3*t**2 + t + 7. Let q(m) = -2*m**2 - m - 5. Calculate 5*k(w) + 7*q(w).
w**2 - 2*w
Let h(n) = n + 17. Let l(v) = 1. Let j(x) = 6*h(x) - 102*l(x). Let p(t) = -5*t. Calculate -4*j(g) - 5*p(g).
g
Let c(j) = 9*j**2 + 6*j + 5. Let f(b) = -4*b**2 - 3*b - 3. Determine -3*c(z) - 5*f(z).
-7*z**2 - 3*z
Let h(q) = -q**2 + q - 1. Let t(r) = r**3 - 6*r**2 + 6*r + 4. Let k(f) = -h(f) + t(f). Let d(o) = -o**3 + 3*o**2 - 3*o - 3. What is 5*d(a) + 3*k(a)?
-2*a**3
Let m(c) = -2*c**3 - c**2 + 3*c + 9. Let a(x) = -2*x**3 + 2*x + 8. Give -3*a(y) + 2*m(y).
2*y**3 - 2*y**2 - 6
Let b(c) = -2*c**2 + 8*c + 3 - 3*c + 3. Suppose 10*x = -2*x + 60. Let u(s) = -2*s**2 + 6*s + 