w*p(d) - 5*r(d).
-3*d**3
Let b(z) be the second derivative of -z**3/3 - 3*z**2/2 - 5*z. Let w(h) = -h - 2. Calculate 5*b(c) - 8*w(c).
-2*c + 1
Let y(a) = 3*a + 4. Let m(l) = -4*l - 4. Determine 4*m(c) + 5*y(c).
-c + 4
Let k(p) = p + 1. Let c(g) = 8*g + 22 - 14 + 0*g - 2*g**2. What is c(b) - 8*k(b)?
-2*b**2
Let w(x) = 2*x**3 + 2*x**2 + 4*x + 3. Let a(p) = p**2. Let j(l) = 2*a(l) - w(l). Suppose 3 - 6 = -m. Let y(v) = 2*v**3 + 3*v + 2. Calculate m*y(k) + 2*j(k).
2*k**3 + k
Let l(k) = -2*k**3 + 6*k**2 - 8*k. Let g(r) = -3*r**3 + 5*r**2 - 7*r. Give -6*g(x) + 5*l(x).
8*x**3 + 2*x
Let b(v) = -v**2 - 1. Suppose 2*y + y = 15. Suppose 2*l - 1 = -3*u - 2*u, -y*u = -5*l - 15. Let n(z) = -1. What is u*b(p) - 2*n(p)?
-p**2 + 1
Let k(u) = -2*u**3 + 13*u - 13. Let x(q) = q - 1. What is 6*k(y) - 78*x(y)?
-12*y**3
Let m(p) = 3*p**3 - 8*p**2 - 21. Let l(w) = -6*w**3 + 15*w**2 + 42. Determine -6*l(r) - 11*m(r).
3*r**3 - 2*r**2 - 21
Let x(m) = -7*m + 1. Let o(z) = -z. What is 6*o(c) - x(c)?
c - 1
Suppose 47*c - 51*c - 8 = 0. Let d(m) = -4*m**2 - 2*m. Let k(g) = g**3 + 21*g**2 + 11*g. Give c*k(l) - 11*d(l).
-2*l**3 + 2*l**2
Let l(d) = 2*d - 4. Let j(n) = -n + 2. Give 11*j(q) + 6*l(q).
q - 2
Let i(w) = -4*w - 6. Let h(j) = j + 4. Let c be h(-4). Let v = c - 3. Let q(b) = b + 2. Determine v*i(o) - 10*q(o).
2*o - 2
Let r(k) = -2*k + 2. Let o = -14 + 7. Let q(x) = 0*x + 2*x + 4 - 6*x. Determine o*r(s) + 3*q(s).
2*s - 2
Let z(m) = -m - 2. Let f(n) = -2*n + 4 + 2*n + 2*n - 1. Give 2*f(o) + 3*z(o).
o
Let r(u) = -4*u - 6. Suppose 3*l - 10 = c, -2*c + 0*c + 4 = 2*l. Let a(w) = 3*w + 5. Determine l*a(b) + 2*r(b).
b + 3
Let w(r) = -3*r**3 - 5*r - 11. Let z(d) = d**3 + d - 1. Calculate w(u) + 5*z(u).
2*u**3 - 16
Let j(p) = 3*p**3 + 4*p**2 + 4*p - 3. Let s(l) = 4*l**3 + 5*l**2 + 5*l - 4. Let v be (-5)/((-5)/(-4)) + -1. What is v*j(z) + 4*s(z)?
z**3 - 1
Let s(v) = -v - 6 + 10 - 3 + 2*v. Let h(m) = -2*m - 2. Let a = -7 + 10. Suppose 0 = 2*o + a*f - 20, 0*f - 8 = 2*o - 4*f. Give o*h(n) + 7*s(n).
-n - 1
Let s(a) = -12*a + 2. Let i(k) = -13*k + 3. Give -3*i(f) + 4*s(f).
-9*f - 1
Let p(b) = 48*b**2 - 9*b. Let y(c) = 24*c**2 - 5*c. Determine -5*p(a) + 9*y(a).
-24*a**2
Let r(b) = -1 + 1 - 1. Let u be 6*3/(-9)*1. Let x(t) = 2*t + 4. Suppose 20 = 5*i, 2*d + 4*i = d + 15. Determine d*x(f) + u*r(f).
-2*f - 2
Let s(q) be the first derivative of -q**3 - 5*q**2/2 - 3*q + 4. Let f(u) be the first derivative of -2*u**3/3 - 2*u**2 - 2*u + 3. Calculate 4*f(r) - 3*s(r).
r**2 - r + 1
Let m(v) = -v**2 - 1. Let h(d) be the first derivative of 10*d**3/3 + d**2/2 + 12*d + 82. Let j be ((-6)/4)/(3/4). Calculate j*h(f) - 22*m(f).
2*f**2 - 2*f - 2
Suppose 0 = 2*h - 2*q + 7*q - 19, 0 = -3*h - 5*q + 21. Let x(b) = -h - 4 + 1 - 3*b**2. Let r(o) = 10*o**2 + 16. What is -5*r(j) - 16*x(j)?
-2*j**2
Let i(f) be the third derivative of -f**5/15 - f**4/12 + 2*f**3/3 - 16*f**2. Let o(v) = 11*v**2 + 5*v - 11. Calculate -8*i(m) - 3*o(m).
-m**2 + m + 1
Let g(x) = -x**2 - 4. Let o(t) be the third derivative of -t**5/15 - 11*t**3/6 + 23*t**2. Calculate -11*g(y) + 4*o(y).
-5*y**2
Let v(g) = 31*g**3 - g - 3. Let b(x) = -x**3 + 1. Calculate 3*b(u) + v(u).
28*u**3 - u
Let y(s) = -14*s**2 - 7*s - 21. Let m(z) = 7*z**2 + 3*z + 10. Calculate -7*m(t) - 3*y(t).
-7*t**2 - 7
Let y(q) = 1. Let d(k) be the third derivative of 1/12*k**4 + 0 + 0*k - 4*k**2 - k**3. Let b(a) = 3*a + 1. Let v be b(-2). Give v*y(u) - d(u).
-2*u + 1
Let v(d) = -2*d. Let c(k) = -2*k**2 + 11*k - 1. Let s be c(5). Let p(l) = l**2 - 7*l. Determine s*p(a) - 14*v(a).
4*a**2
Let y(z) = 2*z + 3. Let u(m) be the first derivative of 3*m**2/2 + 5*m - 10. Calculate -3*u(v) + 5*y(v).
v
Let r(n) = -2*n**3 - 4*n. Let c(b) = -15*b**3 - 27*b. Calculate -4*c(t) + 27*r(t).
6*t**3
Let g(b) = 2*b + 5. Let k(x) = 7*x**3 - 2*x**2 - x. Let p be k(-1). Let w = -6 - p. Let t be w/(-5) + 54/10. Let u(c) = -4*c - 9. What is t*g(f) + 3*u(f)?
-2*f - 2
Let d(s) = -3*s + 8. Let j(n) = -2*n + 9. Determine 4*d(y) - 3*j(y).
-6*y + 5
Let h(s) = 32*s**3 - 4*s + 4. Let i(a) = -33*a**3 + 5*a - 5. Calculate 5*h(l) + 4*i(l).
28*l**3
Let b(g) be the first derivative of -g**3 - g**2 - 2*g + 47. Let c(m) = m**2 + m + 1. Suppose -3*z + 4*z = -1. Give z*b(i) - 2*c(i).
i**2
Let v(k) = 2*k + 9. Let h(d) = d + 1. What is -6*h(l) + v(l)?
-4*l + 3
Let s(l) = 3*l**3 - 3*l**2 - 3*l + 3. Let x be -7*5/(-35) - -1*2. Let h(i) = -14*i**3 + 16*i**2 + 16*i - 16. Calculate x*h(v) + 16*s(v).
6*v**3
Let i(c) = 5*c + 3. Let f be 17/5 + (42/(-15))/7. Let s(v) = 5*v + 2. Determine f*s(u) - 2*i(u).
5*u
Let j = -1 + -13. Let d = 3 + j. Let q(f) = 6*f + 14. Let z(h) = 2*h + 5. Let i(p) = 4*q(p) - 11*z(p). Let o(w) = 5*w + 3. Calculate d*i(u) + 4*o(u).
-2*u + 1
Let a(c) = c + 17. Let o be a(-16). Let b(g) = -g + 1. Let r(j) = j**3 + j**2 - 6*j + 4. What is o*r(k) - 6*b(k)?
k**3 + k**2 - 2
Let d(n) = 15*n**2 - 90*n + 90. Let x(u) = u - 1. Give -d(j) - 90*x(j).
-15*j**2
Let d(r) = 4*r + 2. Let v(k) = -9*k - 3. Determine -5*d(q) - 2*v(q).
-2*q - 4
Let m(z) = -3*z**2 - z - 6. Let d(i) = -5*i**2 - 2*i - 11. What is 4*d(n) - 7*m(n)?
n**2 - n - 2
Let y(d) = 3*d**2 + 17 + 11*d - d**2 + 9*d**2. Let a(q) = 5*q**2 + 5*q + 8. Suppose 0 = -c - 2*c, -4*t + 2*c = 24. Determine t*y(s) + 13*a(s).
-s**2 - s + 2
Let m(b) = -55*b**2 + 2*b. Let j(d) = 4346*d**2 - 159*d. Determine -2*j(y) - 159*m(y).
53*y**2
Let z(m) = -2*m + 44. Let h(k) = 2*k - 43. Calculate -5*h(d) - 4*z(d).
-2*d + 39
Let i(u) be the second derivative of 2*u**3/3 + 2*u**2 - u. Let b(r) be the third derivative of r**4/24 + r**3/6 + 94*r**2. Give 9*b(c) - 2*i(c).
c + 1
Let x(b) = 270*b**3 - 35*b - 35. Let t(l) = -45*l**3 + 6*l + 6. Give 35*t(v) + 6*x(v).
45*v**3
Let x(q) = -q**3 - q**2 + q - 1. Let h(f) = f - 1. Determine h(j) - x(j).
j**3 + j**2
Let o(s) be the second derivative of s**4/3 - s**3/6 - 16*s. Let f(y) = 17*y**2 - 5*y. What is -2*f(c) + 9*o(c)?
2*c**2 + c
Let l(n) = n + 1. Let w(q) = -1. Give 2*l(t) - 2*w(t).
2*t + 4
Let v(y) = -y**3 - 5*y**2 - 7*y - 7. Let o be 6 - (1 + -4)/3. Let p(q) = -q**3 - 4*q**2 - 6*q - 6. What is o*p(t) - 6*v(t)?
-t**3 + 2*t**2
Let d(r) = r**2 + 259*r + 11. Let j(o) = 52*o + 2. Calculate -2*d(m) + 11*j(m).
-2*m**2 + 54*m
Let d(c) = -14*c**2 - 9*c + 17. Let t be 1 - 4/((-16)/20). Let y(g) = 5*g**2 + 3*g - 6. Give t*d(p) + 17*y(p).
p**2 - 3*p
Let o(c) = 4*c. Let h = 11 - 5. Let g be -6 + 3*2/h. Let r(p) = -7*p - 1. Give g*o(d) - 3*r(d).
d + 3
Let j(v) = -v + 3. Let k be j(0). Let g(s) = 1 - 6 - 1 - k*s**2 + 4*s**2 - 7*s. Let y(d) = -d**2 + 6*d + 5. Determine 5*g(z) + 6*y(z).
-z**2 + z
Let s(g) = g**2. Let k(d) = -7*d**2 - 2. Suppose 6*w - 10*w = h + 14, 2*w - 2 = -2*h. Calculate h*s(y) + k(y).
-y**2 - 2
Let f(x) = 1 - 16*x + 0 - 7 + 14*x. Let l(i) = -i + 4*i - 5*i - 7. Give 6*f(d) - 5*l(d).
-2*d - 1
Let w(x) = -8*x - 4. Suppose -6*n + 35 = -n. Let p(i) = 3 - 9*i - 4 - 4. Calculate n*w(g) - 6*p(g).
-2*g + 2
Let v(a) = -2*a**2 + 7*a - 3. Let q(j) = -j**2 + 5*j - 2. Let m(z) = -7*q(z) + 5*v(z). Let g(t) = -4*t**2 - t - 1. Give -2*g(x) + 3*m(x).
-x**2 + 2*x - 1
Let q(m) = 5*m**2 - m - 2. Let y(a) = a**2 + a - 1. Let i = 96 - 95. Determine i*y(r) - q(r).
-4*r**2 + 2*r + 1
Let l(d) = 14*d**3 - 13*d + 13. Let i(b) = -7*b**3 + 6*b - 6. Calculate -13*i(w) - 6*l(w).
7*w**3
Let l(d) = 9*d**2 + 4*d + 4. Suppose -12 = -4*z - 32. Let g(k) = 4*k**2 + 2*k + 2. Calculate z*g(c) + 2*l(c).
-2*c**2 - 2*c - 2
Let u(f) = 2*f**2 - 19*f - 35. Let w be u(11). Let o(y) = -4*y**2 + 2*y - 2. Let m(n) = -8*n**2 + 4*n - 5. What is w*m(s) + 5*o(s)?
-4*s**2 + 2*s
Let n(m) = -m - 3. Let q(t) = -1. Let b = 3 + -2. Suppose -9 - b = 5*y. What is y*n(a) + 6*q(a)?
2*a
Let d(j) = -3 + 2 + 13 + 6*j - 2. Let t = 3 + -5. Let y(s) = 2*s + 3. What is t*d(v) + 7*y(v)?
2*v + 1
Let v(p) = 17*p - 9. Let z(y) = 8*y - 4. What is -2*v(m) + 5*z(m)?
6*m - 2
Let m(o) = o. Let b(p) be the second derivative of -p**4/6 + 4*p**3/3 + p**2 + 9*p. Give b(x) - 6*m(x).
-2*x**2 + 2*x + 2
Let g(l) = -l**3 - l**2 + l. Let q(f) = -5*f**3 + 8*f**2 - 9*f. Let n(j) = -3*g(j) - q(j). Let k(v) = -v**3 + v**2 - v. Give -6*k(m) - n(m).
-2*m**3 - m**2
Let m(d) = -4*d + 3. Let j(z) = -5*z + 4. Let w(r) = 3*j(r) - 4*m(r). Let h(x) = 2*x**2 - x. Calculate -h(c) - w(c).
-2*c**2
Let f(m) = m. Let k(r) = -r**2 - r +