t o(k) be the first derivative of -k**2/2 + k - 5. Calculate -g(b) - 6*o(b).
-b + 1
Let o(m) = -9*m + 2. Let k(w) = -8*w + 1. What is -3*k(i) + 2*o(i)?
6*i + 1
Let k(x) = 7*x. Let f(d) = 29*d + 1. Let q(l) = -2*f(l) + 9*k(l). Let y(a) = 4*a - 2. Calculate -2*q(z) + 3*y(z).
2*z - 2
Let j(h) = -4*h + 11*h + 0 - 5. Let l(x) = -4*x + 3. Let f = 711 + -708. Suppose -4*u + 15 + 5 = 0. Determine f*j(b) + u*l(b).
b
Let u(v) = -3 - 3 - 11*v + 5*v + 7*v**2. Let h(r) = 8*r**2 - 7*r - 7. Let k = 1 - -5. Let i = -4 + -3. Determine i*u(s) + k*h(s).
-s**2
Let z(l) = -1 + 5 - 3. Let y(q) = q + 1. What is -2*y(c) + 5*z(c)?
-2*c + 3
Let g(t) = t**2 - t + 1. Let z(p) = p**3 - p. Determine -g(d) - 2*z(d).
-2*d**3 - d**2 + 3*d - 1
Let t(y) = 20*y - 17. Let w(r) = 7*r - 6. Calculate 6*t(h) - 17*w(h).
h
Let y(d) = 1 + 4 + 6 - 2 + 9*d. Let n(q) = 4*q + 4. Calculate -13*n(x) + 6*y(x).
2*x + 2
Let k(c) = c**2 - 4*c. Let g(y) = y**2 - 5*y. Let m be 12/(-10)*30/9. Let t(l) = 4*l - 99. Let n be t(26). What is m*g(w) + n*k(w)?
w**2
Let q(a) = -7*a**3 - 4*a**2 - 36*a - 3. Let s(j) = 11*j**3 + 6*j**2 + 54*j + 5. Calculate -8*q(f) - 5*s(f).
f**3 + 2*f**2 + 18*f - 1
Let a(t) = t**3 - 6. Let m(z) be the third derivative of 0*z**5 + 3*z**2 - 5/6*z**3 + 0*z + 1/120*z**6 + 0 + 0*z**4. What is 5*a(d) - 6*m(d)?
-d**3
Let p(n) = 2*n**2 + 2*n. Let f(o) = -2 + 0*o**2 - o**2 + 2*o**2. Let l be f(0). Let i(z) = 2*z - z**3 + 3*z + 0*z**2 + 5*z**2. Determine l*i(m) + 5*p(m).
2*m**3
Let r(x) = -5*x**2. Let y(l) = -2*l**2. Give -6*r(d) + 10*y(d).
10*d**2
Let d(w) = -3*w + 6. Let q(j) = -2*j + 3. Determine -3*d(i) + 5*q(i).
-i - 3
Let r(n) = -n**2 - n. Let o(m) = 4*m**2 + 3*m + 1. Determine -o(y) - 2*r(y).
-2*y**2 - y - 1
Let g(b) = -3*b. Let c(w) = -w - 1. Calculate -2*c(t) + g(t).
-t + 2
Let k(a) = -5*a + 14. Let u(r) = 2*r - 5. Determine -6*k(i) - 17*u(i).
-4*i + 1
Let o(d) = 7*d - 9. Let b(g) = -10*g + 14. Give -5*b(u) - 8*o(u).
-6*u + 2
Let z(c) = 17*c**2. Let i(b) = 8*b**2. Calculate 5*i(v) - 3*z(v).
-11*v**2
Let n(d) = 6*d**3 - 3*d**2 - 3*d + 3. Let q(f) = 13*f**3 - 3*f**2 - 5*f + 7. Let b(u) = -u**3 - u**2 - 1. Let v(w) = 2*b(w) + q(w). Give 5*n(o) - 3*v(o).
-3*o**3
Let d(q) = -3*q**2 + q - 1. Let r(a) = 6*a**2 - 2*a + 2. Determine 13*d(k) + 6*r(k).
-3*k**2 + k - 1
Let s(i) be the second derivative of -3*i**5/10 - i**4/3 + i**3/2 + 2*i**2 - 16*i. Let l(m) = -7*m**3 - 5*m**2 + 3*m + 5. What is -4*l(a) + 5*s(a)?
-2*a**3 + 3*a
Let r(f) = -f**3 - 2*f - 2*f**3 + 0*f**3 + 1 - 3. Let t(m) = -7*m**3 - 5*m - 5. Give -10*r(k) + 4*t(k).
2*k**3
Let v(f) = 6*f**2 + 4*f - 1. Let j(d) = -17*d**2 - 11*d + 4. Suppose 3*w = 3*s + 36, -2*s + 3*w + w - 26 = 0. Determine s*v(y) - 4*j(y).
2*y**2 - 5
Let s(t) = -8*t**2 + 9*t - 1. Let w(i) = i**3 - 9*i**2 - 9*i + 8. Let k be w(10). Let g(z) = -z**2 + z. What is k*g(c) - 2*s(c)?
-2*c**2 + 2
Suppose 6*h = 3*h + 6. Let m(n) = -6 - n**h - 3*n + 4*n + 1 + 4. Let l(d) = -6*d**2 + 5*d - 5. Calculate l(k) - 5*m(k).
-k**2
Suppose -4*f + 4 = -4. Let v(h) = -3*h**2 + 2*h + 17. Let c(w) = w**2 - w - 8. Let r(z) = 5*c(z) + 2*v(z). Let u(p) = -2. What is f*r(t) - 6*u(t)?
-2*t**2 - 2*t
Let i(b) = 2*b**2 - 11*b - 1. Let a(g) = 2*g**2 - 11*g. Calculate 3*a(m) - 2*i(m).
2*m**2 - 11*m + 2
Let p(s) = -3*s - 1. Let q(v) = -v**3 - 2*v - 1. Let r(k) = 3*p(k) - 4*q(k). Let h(d) = d**3 - 1. Determine 2*h(l) - r(l).
-2*l**3 + l - 3
Let n(i) = -i**2 + i - 1. Let f(a) be the first derivative of -4*a**3/3 + 5*a**2/2 - 6*a + 32. Calculate -f(h) + 6*n(h).
-2*h**2 + h
Let w(t) = 12*t**2. Let o(a) = 11*a**2 + a. Give -2*o(d) + 3*w(d).
14*d**2 - 2*d
Let l(a) be the third derivative of a**6/30 - a**5/12 + 5*a**4/24 - 5*a**3/6 + 12*a**2. Let i(t) = -6*t**3 + 7*t**2 - 7*t + 7. Calculate -5*i(v) - 7*l(v).
2*v**3
Let t be (5/25)/(4/(-10))*2. Let r(k) = -k**2 + 6*k - 5. Let i(g) = -16*g - 6. Let u(p) = 3*p + 1. Let l(v) = -2*i(v) - 11*u(v). Calculate t*r(c) - 5*l(c).
c**2 - c
Suppose 76 = 4*v - 0*v. Suppose -5*k + r = -3*k - 7, -2*r = -5*k + v. Let s(o) = -o + 5 - 4 - k. Let t(n) = -2*n - 9. Give 7*s(c) - 3*t(c).
-c - 1
Let a(u) = 4*u**2 + 4*u - 24. Let d(c) = c**2 + c - 5. Let y(p) = -3*a(p) + 14*d(p). Let r = -2 - -6. Let l(b) = -1. Give r*l(j) + y(j).
2*j**2 + 2*j - 2
Let u(p) = 7*p**2 + 5*p. Let r = -13 + 3. Let a(m) = -3*m**2 - 2*m. Give r*a(t) - 4*u(t).
2*t**2
Let s(j) = -j. Let x(g) = -27*g. What is -6*s(u) + x(u)?
-21*u
Let y(g) = -11*g**2 + g - 8. Let m(s) = -7*s**2 + s - 5. Let x(c) = -8*m(c) + 5*y(c). Let n(w) = -2*w**2 + 6*w. Give 4*n(d) + 9*x(d).
d**2 - 3*d
Let n(q) = -4*q**3 - 9*q**2 + 17*q. Let h(f) = -f**3 - 2*f**2 + 4*f. Give 9*h(l) - 2*n(l).
-l**3 + 2*l
Let v(r) = 5*r**2 + 4*r + 6. Let k(s) = 9*s**2 + 9*s + 13. Determine -4*k(l) + 9*v(l).
9*l**2 + 2
Suppose 0 = 19*t - 23*t + 4. Let w(y) = -y - 1. Let s(g) = -7*g - 4. Calculate t*s(c) - 6*w(c).
-c + 2
Suppose -2*f + 0*b + 6 = -2*b, 0 = 4*f - 2*b - 4. Let o be ((-2)/(-5))/(f/10). Let h(x) = -8*x**3 - 11. Let z(v) = -3*v**3 - 4. What is o*h(c) + 11*z(c)?
-c**3
Let v(k) = k**3 + 3*k**2 + 15. Let u(i) = -i**3 - 5*i**2 - 30. Determine -3*u(h) - 5*v(h).
-2*h**3 + 15
Let r(v) = -23*v**3 + 17*v. Let k(u) = 8*u**3 - 6*u. Give 17*k(f) + 6*r(f).
-2*f**3
Let o(j) = j - 1. Let l(w) = -2*w**2 + 4*w - 4. Determine -5*l(n) + 20*o(n).
10*n**2
Let f(v) = v**2 + 3*v - 3. Suppose -2*t + 8 = 2. Let z = -2 - -2. Let o(h) = 4*h - 5*h + 1 + z*h**2 - h**2. Determine t*o(l) + f(l).
-2*l**2
Let r(d) be the second derivative of d**3/6 - 2*d**2 + 6*d. Let w be (8/10)/((-4)/(-10)). Let y(j) = -1. Give w*y(l) - r(l).
-l + 2
Let g(d) = 7*d + 5. Let s be 112/24 + (-2)/3. Suppose 3*y = y - s, -4*j = -y - 26. Let w(o) = 5*o + 2 - 4*o - 1. Give j*w(r) - g(r).
-r + 1
Let k(m) = m**3 + m**2 - m - 1. Let u(o) = -o**2 - 3. Let f(i) = k(i) - u(i). Let r(n) = 3*n**3 + 5*n**2 - 3*n + 5. Give 5*f(q) - 2*r(q).
-q**3 + q
Let g(r) = -91*r - 6. Let i(d) = 1365*d + 91. Determine -91*g(p) - 6*i(p).
91*p
Suppose -5*z + 0*z - 7 = o, 0 = -o + z - 7. Suppose 33*n - 26*n - 14 = 0. Let m(a) = -10*a**2 + 7*a. Let t(j) = -3*j**2 + 2*j. Calculate n*m(p) + o*t(p).
p**2
Let j(v) = -14*v + 7. Let c(a) = 5*a - 2. Give -8*c(d) - 3*j(d).
2*d - 5
Let x(a) = a**2 - 4. Let z be x(-3). Let t(q) = -4*q**2 - q**2 + q - 2 + 5*q - 3*q**3 + z. Let k(i) = -2*i**3 - 4*i**2 + 5*i + 2. Determine -5*k(d) + 4*t(d).
-2*d**3 - d + 2
Let b(v) = 2*v + 1. Let g(l) = -3*l**2 - 7*l - 8. Let a(p) = 2*p**2 + 3*p + 4. Let w(n) = 5*a(n) + 3*g(n). Determine -7*b(d) - 2*w(d).
-2*d**2 - 2*d + 1
Let m be 30/(-18) + 6/9. Let t(z) = -z**2 - z - 1. Let o(y) = -5*y**2 - 6*y - 5. Let x(v) = o(v) - 6*t(v). Let d(k) = 2*k**2 - k + 3. What is m*d(l) + 3*x(l)?
l**2 + l
Suppose 0 = -3*j + 23 - 20. Let v(o) = 7*o - 7. Let m(k) = k - 1. Determine j*v(x) - 5*m(x).
2*x - 2
Suppose 15 = -4*o + 7*o. Let j(k) = o - 5*k**2 + 1 - 2 - 5*k. Let c(z) = -z**2 - z + 1. Give 4*c(h) - j(h).
h**2 + h
Let y(m) = 3. Let c(w) = 7 + w + 2 + 1. What is -2*c(o) + 7*y(o)?
-2*o + 1
Let o(n) = n**2 - 1. Let a(d) = 2*d**2 - 3. Let s(t) = -2*a(t) + 5*o(t). Let m(j) = -6*j**2 - 6. Give m(k) + 8*s(k).
2*k**2 + 2
Let p be (-25)/10*2/1. Let g(h) = -h - 2. Let y(w) = -3 + 7 - 2*w + 5*w. What is p*g(a) - 2*y(a)?
-a + 2
Let o(c) = -3*c + 2. Let t = 33 + -23. Let f(l) = -l**3 + 9*l**2 + 9*l + 9. Let g be f(t). Let p(b) = -b + 1. What is g*p(q) + o(q)?
-2*q + 1
Suppose 3*h - h - 11 = -p, 20 = 3*h + 5*p. Let w(g) = -3*g - 3. Let k(o) = 4*o + 4. Determine h*w(y) + 4*k(y).
y + 1
Let p(d) = 392*d**2 - 35*d + 35. Let c(l) = 23*l**2 - 2*l + 2. What is -35*c(g) + 2*p(g)?
-21*g**2
Let u = 4 + -7. Let n(i) = 2*i**2 + 5*i - 4. Let j(c) = -6*c**2 - 5*c + 7 - 3*c**2 + 6*c**2 - 4*c. What is u*j(w) - 5*n(w)?
-w**2 + 2*w - 1
Let g(f) = f. Let n(j) = j**2 - 3*j. Determine -5*g(l) - 2*n(l).
-2*l**2 + l
Let g(f) be the first derivative of f - 1. Let c(m) = -m**2 - 1. Let j = -29 - -28. What is j*c(h) - g(h)?
h**2
Let a(u) = 1 + 1 - 1. Let j(m) = -2*m + 4. Suppose -6*t = 35 - 11. Determine t*a(c) + j(c).
-2*c
Let m(r) = r + 2. Let k(z) = z**3 - 7*z**2 + 5*z + 3. Let g be k(6). Suppose -2*j + 2 - 6 = 0. Let h(w) = -2*w - 3. Give g*m(l) + j*h(l).
l
Let r(g) = 6*g + 3. Let a(f) = 56*f + 22. Let y(l) = -83*l - 33. Let x(q) = 7*a(q) + 5*y(q). What is 22*r(z) + 6*x(z)?
-6*z
Let w(a) = 1. L