2. What is d*m(a) - 6*r(a)?
a - 2
Let r(d) = d - 2. Let q(c) = 7*c**2 - 6*c + 5. Let s(w) = -w**2 + w - 1. Let a(u) = q(u) + 6*s(u). Calculate -4*a(l) + 2*r(l).
-4*l**2 + 2*l
Let j(a) be the third derivative of a**4/12 + 2*a**3/3 + a**2. Let s = -2 - 1. Let l = 237 - 242. Let h(z) = -4*z - 7. Calculate l*j(x) + s*h(x).
2*x + 1
Let g be (14/(-21))/((-4)/(-6)). Let f(h) = 8*h**2 - 7*h - 8. Let y(p) = -p**2 + p + 1. Give g*f(k) - 6*y(k).
-2*k**2 + k + 2
Let u(g) = 6*g**2 + g + 5. Let k = 6 + 11. Let y(r) = -20 - k*r**2 + 9 - 2*r + 4*r**2. What is -9*u(o) - 4*y(o)?
-2*o**2 - o - 1
Let o(l) = -24*l**3 - 14*l**2 - 14*l - 6. Let y(c) = -8*c**3 - 5*c**2 - 5*c - 2. Calculate 5*o(q) - 14*y(q).
-8*q**3 - 2
Let r(l) be the first derivative of -l**4/2 + l**3 + 3*l - 1. Let j(u) = 24*u**3 - 21*u**3 - 5 - 4*u**2 + 1. Calculate 3*j(x) + 4*r(x).
x**3
Let l = 25 - 16. Suppose -l - 2 = n. Let y(i) = -3*i**3 - 5*i**2 + 17*i - 11. Let o(h) = h**3 + 2*h**2 - 6*h + 4. Determine n*o(r) - 4*y(r).
r**3 - 2*r**2 - 2*r
Let t(i) = -5*i**2 + 11*i. Let v(b) be the first derivative of -b**3 + 3*b**2 + 3. What is 6*t(m) - 11*v(m)?
3*m**2
Let o(c) = -c**3 + c**2 + 1. Let b(d) = -3*d**3 + 2*d**2. Let g be (-1)/(-3) + 26/(-6). Let s = 5 + g. Calculate s*o(a) - b(a).
2*a**3 - a**2 + 1
Let h(c) = 15*c**2 - 6. Let v(q) = -15*q**2 + 7. Calculate 7*h(y) + 6*v(y).
15*y**2
Let t(g) = -g**3 - 4*g + 3. Let j(s) = -5*s**3 - 17*s + 13. What is -2*j(m) + 9*t(m)?
m**3 - 2*m + 1
Let t(q) = -10*q + 18*q - 2 - 11*q. Let w(x) = x + 1. Give -t(z) - 2*w(z).
z
Let d(l) = -2*l - 1. Let w(p) = -8*p + 6*p - 7 - 4*p + 3. Determine -7*d(q) + 2*w(q).
2*q - 1
Let i(v) = -v**2 + 1. Let f(a) = -16*a**3 + 4*a**2 + 2*a - 5. Calculate f(q) + 4*i(q).
-16*q**3 + 2*q - 1
Let m(r) = r**2 - r. Let c(d) = 3*d**2 - 3*d + 1. What is c(f) - 5*m(f)?
-2*f**2 + 2*f + 1
Let g = -76 + 74. Let o(j) = 1 - 5 + j**2 + 10*j - 1 + 0*j. Let h(n) = 2*n - 1. Suppose 5*c - 11 = 44. Determine c*h(s) + g*o(s).
-2*s**2 + 2*s - 1
Let u(a) = -3*a**2 - 6*a + 2. Let l(y) = 2*y**2 + 5*y - 2. Calculate -5*l(c) - 4*u(c).
2*c**2 - c + 2
Let z(m) be the second derivative of m**3 - 162*m. Let d(h) = -2*h. Suppose w = -4*w + 10. Give w*z(k) + 7*d(k).
-2*k
Let d be -6 - 15/(-3) - -3. Let r(m) = 3*m**3 + 2*m**2 - 2*m - 2. Let t(i) = 11*i**2 - 5*i + 4*i**3 - 5 - 6*i**2 + 3*i**3. Calculate d*t(n) - 5*r(n).
-n**3
Let v(x) = -2*x**3 - 4*x**2 - 4*x. Let j(d) be the first derivative of -3*d**4/2 - 11*d**3/3 - 11*d**2/2 - 11. Determine 4*j(l) - 11*v(l).
-2*l**3
Let k(q) = -2*q + 2. Let v be k(4). Let b(y) = 5*y + 7. Let w(i) be the second derivative of 2*i**3/3 + 3*i**2 - 17*i. Determine v*w(o) + 5*b(o).
o - 1
Let w(k) = k**3 + 2*k**2 - 4*k - 3. Let p(a) be the third derivative of a**6/120 + a**5/30 - 5*a**4/24 - 2*a**3/3 + 5*a**2. Calculate 3*p(b) - 4*w(b).
-b**3 - 2*b**2 + b
Let o(g) = 15*g**2 + 2*g. Let m(h) = 45*h**2 + 7*h. Calculate 2*m(b) - 7*o(b).
-15*b**2
Let o(d) be the second derivative of d**3/2 + 4*d**2 - d - 3. Let s(c) = 1. What is -o(x) + 6*s(x)?
-3*x - 2
Let f be 38/9 - (-4)/(-18). Let z(d) = 5*d**2 - 2*d + 4. Let k(m) be the second derivative of 3*m**4/4 - m**3/2 + 7*m**2/2 + 3*m. Give f*k(s) - 7*z(s).
s**2 + 2*s
Let q = 10 - 7. Let p(r) = 0*r**3 + 3*r**3 - 3*r**3 - r**q - r. Let t(x) = 7*x**3 + 4*x. Give -4*p(w) - t(w).
-3*w**3
Let d(q) = 7*q**2 + q + 1. Let h(i) = 8*i**2 + i + 1. Let r(n) = 7*d(n) - 6*h(n). Let g(p) = p**2 + p + 1. Determine 3*g(v) - 2*r(v).
v**2 + v + 1
Suppose 2*r = -4*p - 8, 4*r + 3*p = 2*r - 8. Let u = r - 0. Let c(k) = 5*k + 4. Let i(o) = -6*o - 5. Give u*i(a) - 5*c(a).
-a
Let t(r) = 5*r**3 + 7*r**2 + 7*r + 7. Let p(g) = 3*g**3 + 4*g**2 + 4*g + 4. Suppose -6*i + 25 = -i - 5*w, 0 = 5*i + 5*w - 15. Calculate i*t(z) - 7*p(z).
-z**3
Let l(t) = 2. Let x(r) = -r + 5. Determine -7*l(i) + 3*x(i).
-3*i + 1
Let v(g) = -g + 3*g - 7*g - 4. Let k(l) = 6*l + 5. Suppose 0 = 3*y - 4 - 11. Suppose -4*j - 12 = -28. Determine j*k(b) + y*v(b).
-b
Let z = -2 - -5. Suppose -z*k - 3*l - l - 10 = 0, -5*k - 2*l - 12 = 0. Let h(q) = q - 3. Let m(u) = 2*u - 6. What is k*m(o) + 5*h(o)?
o - 3
Let h(v) = 4*v - 6*v + 3*v - 3*v. Let p(o) be the third derivative of o**4/8 - o**2. What is -4*h(z) - 3*p(z)?
-z
Let g(k) = 3*k + 6. Suppose t - 3*t = 14. Let v(i) = -i - 2. Determine t*v(y) - 2*g(y).
y + 2
Let a(t) = t - 1. Let y(m) = m. Let o(g) = -a(g) - y(g). Let n(d) = 8*d - 16. Let s(r) = 1. Let i(q) = n(q) + 12*s(q). Give 2*i(j) + 9*o(j).
-2*j + 1
Let c(z) = 4*z**2 - 5*z + 5. Let a(r) = -3*r**2 + 4*r - 4. Calculate 7*a(x) + 6*c(x).
3*x**2 - 2*x + 2
Let j be ((-14)/4 - 0)*-4. Let s be 19 + (-6)/(-3) + -3. Let x(a) = 6 - s*a**2 - 2*a**2 + 8. Let o(z) = -7*z**2 + 5. Give j*o(k) - 5*x(k).
2*k**2
Let k(i) = -i. Let l(r) = -6*r + 5. Determine -5*k(t) + l(t).
-t + 5
Suppose 0 = 5*i - 4*i + 5*j + 8, 4*j = -3*i - 13. Suppose -2*d - 3 = -7. Let r(g) = -d*g**3 + g**3 - g - 2 + 3. Let h(t) = -t**3 - 3*t + 3. Give i*r(z) + h(z).
2*z**3
Let q(m) = -2*m + 14. Let p(z) = z. Determine -p(w) + q(w).
-3*w + 14
Let b(n) = 4*n**2 + 7 + 4*n + 119*n**3 + 4*n - 5*n - 113*n**3. Let m(u) = -u**3 - u**2 - u - 1. Give b(p) + 4*m(p).
2*p**3 - p + 3
Let r(w) = -3*w**3 - w**2 - 2*w - 4. Suppose -2*n + 6 = n. Let d(j) = 8*j**3 - j + 3*j**2 + 6*j + 2*j + 11 - n*j. Let t = -29 + 40. What is t*r(v) + 4*d(v)?
-v**3 + v**2 - 2*v
Let c(j) = 13*j**3 + 7*j**2 + 7. Let g(p) be the third derivative of p**6/30 + p**5/30 + p**3/3 - 7*p**2. Determine 2*c(m) - 7*g(m).
-2*m**3
Suppose -5*t + 2*m = -21 + 4, -t - 2*m + 1 = 0. Let n(y) = 5*y**2 + 11*y - 4. Let z(l) = 2*l**2 + 5*l - 2. Calculate t*n(h) - 7*z(h).
h**2 - 2*h + 2
Let g(p) = -4*p + 8. Let n(i) = 12*i - 24. Calculate -11*g(r) - 4*n(r).
-4*r + 8
Let a(h) = -7*h**2 + 3*h - 7. Let g = 141 + -136. Let c(s) = -4*s**2 + 2*s - 4. Determine g*c(r) - 3*a(r).
r**2 + r + 1
Let k(z) = 14*z - 37. Let p(j) = -5*j + 12. What is -6*k(i) - 17*p(i)?
i + 18
Let x(i) = -2*i**2 - 5*i + 3. Let w(l) = l - 1. Let g(j) = j**3 - 5*j**2 + 5. Let q be g(5). Give q*w(s) + x(s).
-2*s**2 - 2
Let x(r) = -15*r**3 + 13*r**2 + 17*r - 2. Let g(v) = 7*v**3 - 6*v**2 - 8*v + 1. Let t = 6 - 14. Let c = t + 6. Let d = -8 - c. Calculate d*x(l) - 13*g(l).
-l**3 + 2*l - 1
Let d(p) be the second derivative of p**3/2 - 5*p**2/2 - p. Suppose x + 23 = -5*k - 3*x, 6 = -3*x. Let j(z) = 3 - 2 - z + 1. Determine k*d(l) - 7*j(l).
-2*l + 1
Let i(r) = 14*r**3 + 11*r**2 - 5*r + 11. Let y(z) = -5*z**3 - 4*z**2 + 2*z - 4. Let v = 36 - 32. Give v*i(g) + 11*y(g).
g**3 + 2*g
Let s(j) = -5*j**3 - 4*j**2 + 4*j. Let q = -57 - -92. Let n(y) = 45*y**3 + 35*y**2 - 35*y. What is q*s(d) + 4*n(d)?
5*d**3
Let t(s) = s**3 - 3*s**2 - 1. Let n(a) = 4*a**3 - 16*a**2 - 6. Calculate -3*n(r) + 16*t(r).
4*r**3 + 2
Let g(b) = -6*b**3 - 5*b**2 + b + 5. Suppose 9*r + 44 = -1. Let j(x) = x**3 + x**2 - 1. Calculate r*j(l) - g(l).
l**3 - l
Let x(n) be the third derivative of 3*n**5/20 - 7*n**4/8 - 7*n**3/2 - 12*n**2. Let p(m) = m**2 - 2*m - 2. What is -21*p(l) + 2*x(l)?
-3*l**2
Let b(i) = 2*i + 1. Let d(x) = 3*x + 1. Determine 7*b(p) - 5*d(p).
-p + 2
Let n(p) = 3*p**2 - 8*p + 5. Let y(s) = 3*s**2 - 9*s + 6. Determine 5*n(m) - 4*y(m).
3*m**2 - 4*m + 1
Let j be (-17 - -18)/(6/(-5) - -1). Let s(q) = -5*q**2 - 4*q. Let t(b) = -5*b**2 - 5*b. What is j*s(r) + 4*t(r)?
5*r**2
Let g(h) = -3*h**3 - 4*h**2 - h - 6. Let o(s) = -4*s**3 - 6*s**2 - 2*s - 9. Give 7*g(d) - 5*o(d).
-d**3 + 2*d**2 + 3*d + 3
Let t(j) = 12*j + 11. Let o(s) = 13*s + 11. Let f(x) = 3*o(x) - 4*t(x). Let z(g) = -16*g + 7*g + 4*g - 4 + 2*g. Give 4*f(c) - 11*z(c).
-3*c
Let g(r) = -r**3 + r**2 + 2*r - 2. Let o(m) = m**3 - m**2 - 3*m + 3. Let k = -3 + 8. Suppose -k*f + 2*s - 12 = -0*s, -8 = 2*f - 4*s. What is f*o(w) - 3*g(w)?
w**3 - w**2
Let m(d) be the first derivative of d**3 + d**2 - 3*d - 5. Let x(i) = -10*i**2 - 7*i + 10. Suppose 2 - 12 = 5*a. Calculate a*x(u) - 7*m(u).
-u**2 + 1
Let r(k) = -3*k - 2. Let n(h) = h**2 - 33*h + 87. Let z be n(30). Let i(j) = -2*j - 1. Determine z*r(w) + 4*i(w).
w + 2
Let q(u) = 2*u + 3 - 2 + 2*u - 6*u. Let m = -6 - -14. Suppose 5 = 2*v - 1. Let x(c) = 6*c - 2. What is m*q(y) + v*x(y)?
2*y + 2
Let v(c) = -4*c**3 - 2*c**2 + 2*c - 3. Let g(d) = 2*d**2 - 5*d**3 + 87*d - 4*d**2 - 2 - 2 - 84*d. Give -2*g(l) + 3*v(l).
-2*l**3 - 2*l