 derivative of -1/2*k**2 + 0*k + 1. What is -2*h(g) + w(g)?
g
Let k(v) = -v - 1. Let m(h) = -31*h + 1. What is k(q) - m(q)?
30*q - 2
Let m(a) be the first derivative of -2*a**2 - a - 1. Let o(p) = -p**2 - 10*p + 14. Let q be o(-11). Let g(k) = 2 + 1 - q - 2*k. Calculate -5*g(c) + 2*m(c).
2*c - 2
Let g(z) be the first derivative of -3*z**3 + 2*z**2 + 11*z - 30. Let n(v) = -5*v**2 + 2*v + 6. Determine -6*g(r) + 11*n(r).
-r**2 - 2*r
Let t(k) = k**2 + 11*k + 15. Let v(r) = -6*r - 8. Give 6*t(q) + 11*v(q).
6*q**2 + 2
Let m(f) = 2*f + 31. Let y(z) = z + 1. Give m(x) - y(x).
x + 30
Let u(c) = 4*c**3 - 5*c**2 + 6. Let z(s) be the second derivative of -1/12*s**4 + 0*s**3 + 1/20*s**5 + 1/2*s**2 - 3*s + 0. What is -u(v) + 6*z(v)?
2*v**3 - v**2
Suppose 3*f = -8 - 16. Let m(b) = -9*b - 4. Let r(y) = -14*y - 6. Suppose 3*z + 15 = 0, p - 3*z = -0*z + 20. What is f*m(l) + p*r(l)?
2*l + 2
Let q(m) = m**2 - m + m. Let d be ((-54)/(-36))/(3/(-4)). Let f(s) be the third derivative of s**6/120 + s**5/30 + s**2. Calculate d*q(i) + f(i).
i**3
Suppose 0*l + 3 = 4*l + g, 0 = 5*l - 5*g - 10. Suppose 4 = 4*s - 8. Let z(r) = r - 2 + 2 + 1 - r**s - r**2. Let h(j) = j**2 - j - 1. Give l*h(p) + z(p).
-p**3
Let i(v) = v + 6. Suppose -2*w - 3*w + 5*u - 25 = 0, -4*u = 4. Let d(o) = -2 - 8 - 3*o - 7. Calculate w*d(k) - 17*i(k).
k
Let s = 1 - -3. Suppose s*b - 11 + 3 = 0. Let g(p) = 4*p + 1. Let y(n) = -13*n - 3. Calculate b*y(d) + 7*g(d).
2*d + 1
Let r(o) = -o - 18. Let p(g) = 3*g + 50. Let d(a) = -6*p(a) - 17*r(a). Let i(z) = -z + 1. Let h(y) = -y**2 + 4*y + 6. Let j be h(5). Calculate j*d(s) - 3*i(s).
2*s + 3
Let w(t) = -8*t**2 - 20*t - 11. Let r(i) = 3*i**2 + 7*i + 4. Calculate 11*r(k) + 4*w(k).
k**2 - 3*k
Let l(a) = -7*a**3. Let h(n) be the first derivative of 15*n**4/4 - 1. Let i = 121 + -84. Let y = -24 + i. Give y*l(v) + 6*h(v).
-v**3
Let b(c) = c**3 - 4*c**2 + 7. Let s(u) = u**2 - 1. Determine 2*b(l) + 14*s(l).
2*l**3 + 6*l**2
Let t(x) = -3*x + 4. Suppose -u - 2*g - 12 = 2*g, -8 = 2*g. Let m(a) be the second derivative of a**2/2 + a - 7. What is u*m(l) - t(l)?
3*l
Suppose -48 = -17*u + 5*u. Let c(x) = 3*x**3 + 5*x**2 - 5. Let v(f) = -2*f**3 - 4*f**2 + 4. Calculate u*c(b) + 5*v(b).
2*b**3
Let i(m) = m**3 - m**2 + m + 1. Let p(f) = -2*f**2 + 2*f + 5. Let r(x) = -x**3 + x**2 - x. Let g(h) = p(h) - 3*r(h). Determine -g(v) + 5*i(v).
2*v**3
Let n(i) = 5*i**3 - 25*i**2 + 25*i - 25. Let c = 118 - 93. Let p(d) = -d**2 + d - 1. Determine c*p(t) - n(t).
-5*t**3
Let f(w) = w**2 - 13*w - 4. Let c(m) be the first derivative of -m - 10 - 3/2*m**2. Suppose 5*p + 44 = -1. What is p*c(a) + 2*f(a)?
2*a**2 + a + 1
Let i(h) = -h**3 - h**2 + 1. Let v(a) = -4*a**3 - 5*a**2 + 9. Give -3*i(y) + v(y).
-y**3 - 2*y**2 + 6
Let n(s) = -2*s**2 - 5*s - 7. Let p(a) = 3*a**2 + 8*a + 11. Determine 8*n(h) + 5*p(h).
-h**2 - 1
Let k(j) = -2*j**2 + 3*j - 5. Let c(s) = s**2 - 2*s + 3. Suppose 0 = -10*m + 11*m + 3. Give m*k(t) - 5*c(t).
t**2 + t
Let a(c) = c. Let u(x) = -13 + 36 - 12 - 9. Give a(f) - u(f).
f - 2
Let h(g) = g. Let d(z) = 5*z - 3. Calculate d(a) - 6*h(a).
-a - 3
Let c(n) = -26*n**2 - 6*n - 6. Let i(y) be the third derivative of -y**5/12 - y**4/24 - y**3/6 + 6*y**2. What is -3*c(g) + 16*i(g)?
-2*g**2 + 2*g + 2
Let w(m) = 8*m**3 - 7*m + 7. Let n(b) = -4*b**3 + 5*b**3 - 6*b + 5*b + 1. Calculate -21*n(r) + 3*w(r).
3*r**3
Let t(n) be the first derivative of -n**3/3 + n**2/2 - n - 9. Let w(k) = -4*k**2 + 4*k - 3. Calculate -3*t(c) + w(c).
-c**2 + c
Let d(q) = -q**3 - 2*q**2 + 4*q - 1. Let x(r) = r**3 + 7*r - 1. Let f(w) = w**3 + w**2 + w. Let h(j) = 2*f(j) - x(j). Determine -5*d(u) - 4*h(u).
u**3 + 2*u**2 + 1
Let l(d) = -d + 4. Suppose -2*b - 3*z = 25, -2*z = b + 4*b + 35. Let w(u) = -2. Calculate b*w(n) - 2*l(n).
2*n + 2
Let h(v) = -v**3 + v**2 - v - 1. Let w(i) = -5*i**3 + i**2 - 5*i - 6. Let n(s) = h(s) - w(s). Let d(b) = 5*b**3 + 5*b + 6. Determine 5*d(l) - 6*n(l).
l**3 + l
Let j(t) = t**3 + 6*t**2 + 4*t - 3. Let h be j(-5). Let m(x) = 5*x**2 + 2*x + 1. Let b(k) = -4*k**2 - 2*k. Determine h*m(g) + 3*b(g).
-2*g**2 - 2*g + 2
Let u(y) be the second derivative of y**4/12 + 2*y**3/3 - 2*y**2 + 10*y. Let k(i) be the second derivative of -i**3/6 + i**2/2 + 2*i. Determine -4*k(p) - u(p).
-p**2
Let j(k) = k**2. Let l(c) = c**2. Let z = -103 - -98. Determine z*j(w) + 2*l(w).
-3*w**2
Suppose 7*u + 5 = 2*u. Let f = u - -8. Let m(s) = 10*s + 7. Let v(j) be the third derivative of -j**4/8 - j**3/3 - 2*j**2. Calculate f*v(z) + 2*m(z).
-z
Let q(a) = 2*a. Let g(z) = z - 1. Calculate 3*g(o) - q(o).
o - 3
Let r(p) = 10*p + 19 - 5*p - 15 - 9*p. Suppose 5*v - 12 + 42 = 0. Let q(b) = -5*b + 5. What is v*r(w) + 5*q(w)?
-w + 1
Let l(b) = -3*b + b**2 + 0*b**2 + 4*b. Let r(x) = -x**3 - 3*x**2 - 2*x. Suppose 3*h = 4*h - 2. Give h*l(g) + r(g).
-g**3 - g**2
Let u = -1 - -3. Let y(c) = 0*c**2 + c + 0*c**u - c**2 + c**3 - 2 + 1. Let b(n) = n**3 - n**2 + 4*n - 3. Determine b(q) - 3*y(q).
-2*q**3 + 2*q**2 + q
Let c(y) = y - 10. Let t be c(10). Suppose t*i = -2*i + 4. Let k(m) = 3*m**2 + 7*m - 9. Let l(n) = -n**2 - 3*n + 4. Calculate i*k(d) + 5*l(d).
d**2 - d + 2
Let s(u) = 3*u**3 - 11*u**2 + 20*u - 20. Let q(w) = w**3 - 4*w**2 + 7*w - 7. Calculate -11*q(k) + 4*s(k).
k**3 + 3*k - 3
Let o(b) = 2*b**3 - 2*b**2 - 2*b - 1. Let g(m) = 2 + 2*m**2 + 2*m**2 - m - 5*m**2 - 3. Let a = 5 - 0. Let v = a - 6. Calculate v*o(j) + 2*g(j).
-2*j**3 - 1
Let o(f) = -1. Let j(z) = -9*z**2 + 5*z - 13. Let c(r) = -j(r) + 6*o(r). Let k(p) = -5*p**2 + 3*p - 4. Calculate -3*c(v) - 5*k(v).
-2*v**2 - 1
Let t(c) = 2*c**3 + 2*c**2 - 3*c + 2. Let m(f) = -5*f**3 - 5*f**2 + 8*f - 6. Suppose 0 = 2*w + 10, -7*w + 3*w - 8 = 4*h. Determine h*m(a) + 8*t(a).
a**3 + a**2 - 2
Let o = -6 - -10. Let c(f) be the first derivative of 5*f**2/2 + 85. Let i(u) = -u. Calculate o*i(s) + c(s).
s
Let s(g) = -2*g. Suppose w = -2*w - 9. Let u(m) be the second derivative of 0 + 0*m**2 - m + 1/2*m**3. Calculate w*u(n) - 4*s(n).
-n
Let y(c) = 14*c**2 + 5*c. Let n(d) = 7*d**2 + 2*d. Calculate -13*n(o) + 6*y(o).
-7*o**2 + 4*o
Let i(l) = -l**3 - 12*l**2 + 13*l + 3. Let j be i(-13). Let f(m) = m**3 + m**2 - m + 1. Let w(g) = 2*g**3 + 5*g**2 - 3*g + 1. What is j*f(t) - w(t)?
t**3 - 2*t**2 + 2
Let m(g) = 5*g - 1. Let k(p) = -6*p + 1. Suppose 4*u + 30 + 10 = 0. Let x be (-6)/u + (-36)/10. Determine x*k(s) - 4*m(s).
-2*s + 1
Suppose -5*l + 25 = -0. Suppose y + 8 = -o, -y + 2 = -o + y. Let w(m) = 4*m**2 + 4*m - 2. Let g(d) = 3*d**2 + 3*d - 2. Give l*w(c) + o*g(c).
2*c**2 + 2*c + 2
Let j be 3 + -1 - 4*-1. Let b(u) = -8*u + 5 - 2*u**2 - 5 - 5*u**2. Let c(g) be the second derivative of g**4/2 + 7*g**3/6 + g. Calculate j*c(z) + 5*b(z).
z**2 + 2*z
Let x(g) = -5*g**3 + g**2 - 8*g. Let m(c) = 15*c**3 - 3*c**2 + 23*c. Give 6*m(y) + 17*x(y).
5*y**3 - y**2 + 2*y
Let o(p) = 4*p**2 + 2. Let f(u) = 37*u**2 - 6*u**2 + 11 - 10*u**2. Determine -2*f(b) + 11*o(b).
2*b**2
Let l(s) = 3*s**3 + 7. Let o(g) = -2*g**3 - 4. Suppose -7 - 8 = 3*a. Determine a*o(k) - 3*l(k).
k**3 - 1
Let j(f) = 11*f - 2. Let g(s) = -s. What is -4*g(a) - j(a)?
-7*a + 2
Let s(g) = -g + 2. Let a(h) = -2*h + 3. Let w(x) = x**3 - 14*x**2 - 31*x - 21. Let d be w(16). Give d*a(o) + 8*s(o).
2*o + 1
Let a(m) = 6*m**2 + 2*m. Let z(l) = -l**2 - 3*l + 4. Let q(c) = -2*c + 3. Let v(o) = 4*q(o) - 3*z(o). Determine -2*a(x) + 5*v(x).
3*x**2 + x
Let k(s) = 31*s + 7. Let c(n) = 61*n + 13. What is 6*c(j) - 11*k(j)?
25*j + 1
Let h(n) = n + 1. Let o(k) = -k**2 + 6*k + 5. Determine 6*h(m) - o(m).
m**2 + 1
Let w(u) = 2*u**3 - 5*u - 5. Let q(h) be the second derivative of -h**5/10 + 2*h**3/3 + 2*h**2 - h. Suppose 0 = o + 4 - 0. What is o*w(a) - 5*q(a)?
2*a**3
Let y(i) = -i**2 - i. Let o = -8 + 14. Let a(f) = -7*f**2 - 5*f. Let c(l) = -3*l**2 - 2*l. Let q(k) = 4*a(k) - 7*c(k). What is o*y(u) - q(u)?
u**2
Let m(k) = k**2 + 7*k - 4. Let h be (-1 - -4) + 8/4. Suppose -z = -h*i - 7, 2*z - 4*i - 3 = 5. Let l(a) = -3*a + 2. Give z*m(n) + 5*l(n).
2*n**2 - n + 2
Let x(g) = 7*g**2 - g - 7. Let p(m) = m**2 - 1. Give 6*p(r) - x(r).
-r**2 + r + 1
Let g(y) be the first derivative of -3*y**2/2 + 3*y - 16. Let n(l) = -l**2 + 5*l - 5. What is 5*g(j) + 3*n(j)?
-3*j**2
Suppose z + j = -1, 5*z + 0*z = -j + 15. Let f(i) = 13*i + 2. Let h(l) be the third derivative of l**4/4 + l**