 + 11*f - 14. What is -3*a(h) + 8*n(h)?
h**3 - h + 2
Let a(i) = -6*i**3 - 14*i - 14. Suppose -3*r - 2 + 1 = -5*k, -2*r - 3*k = -12. Let o(j) = -5*j - 5 + j**3 - 2*j**3 - j**r. Determine -5*a(h) + 14*o(h).
2*h**3
Let g(v) = -8*v**3 - 2*v - 5. Let a(p) = 7*p**3 + 2*p + 4. What is -6*a(d) - 5*g(d)?
-2*d**3 - 2*d + 1
Let w(d) = -2*d**2 + 0 + 1 - 3*d**2 - 5*d. Let t(y) = -5*y**2 - 6*y + 2. Let v(g) = 5*t(g) - 6*w(g). Let i(p) = 14*p**2 + 11. Determine -4*i(c) + 11*v(c).
-c**2
Suppose 4*y + 4 + 0 = 0. Let h(j) = j + 4. Let m(w) = -w + 2*w + 2 - 1 + 0*w. What is y*h(c) + 2*m(c)?
c - 2
Let u(c) = c + 1. Let p(a) = -a**2 + 8*a - 6. Let i be (-20)/(-1 + -1) + -3. Let o be p(i). Let m(g) = -5*g - 5. Give o*m(f) + 6*u(f).
f + 1
Let j(n) = 3*n + 1. Let i(k) = 1 + 7 + 7 - 10 + 13*k. What is -2*i(v) + 9*j(v)?
v - 1
Suppose -i + 5*s + 0 - 2 = 0, -5*s + 11 = 2*i. Let o(t) = 0 - t - t - i. Let d(m) = m + 2. Calculate 4*d(u) + 3*o(u).
-2*u - 1
Let i(q) be the first derivative of -5*q**3/3 - 3*q - 2. Let y = -1 - -15. Let d(c) be the second derivative of -2*c**4 - 7*c**2 + c. What is y*i(p) - 3*d(p)?
2*p**2
Let n(v) = v**3 + 3*v**2 - 3*v + 1. Let u be n(-4). Let p(g) = -9. Let l(r) = 4. Let b(d) = u*p(d) - 7*l(d). Let m(k) = -2*k - 4. Determine -5*b(o) + m(o).
-2*o + 1
Let a(v) = -v - 7. Let t(z) = -5*z + 5. Let y(b) = 1 - 5 + 2 + 3*b + 0. Let m(w) = 4*t(w) + 7*y(w). Let s be -1*(1 - (3 + 3)). What is s*a(n) + 6*m(n)?
n + 1
Let w(r) be the second derivative of -r**3 - 2*r**2 - 39*r. Let z(g) = -7*g - 5. Give 4*w(l) - 3*z(l).
-3*l - 1
Let s(l) = -2*l - 4. Let j(r) = -2*r - 5. Let a(g) = 6*g + 15. Let k(o) = -3*a(o) - 8*j(o). Determine 5*k(t) - 6*s(t).
2*t - 1
Let j(s) be the third derivative of s**5/60 - 5*s**3/6 + 3*s**2. Let t = -3 - 7. Let l(m) = 1. Determine t*l(b) - 2*j(b).
-2*b**2
Let i(m) = -2*m - 4. Let y(t) = 3*t + 13. Let z(l) = -8*l - 40. Let q(o) = -7*y(o) - 2*z(o). What is -8*i(v) + 3*q(v)?
v - 1
Let l(k) = 8*k**2 - 4*k. Let a(g) = 8*g**2 - 5*g. Give -4*a(r) + 5*l(r).
8*r**2
Let n(q) = -27*q**2 + 5*q - 5. Let m(k) = 26*k**2 - 4*k + 4. Calculate -5*m(j) - 4*n(j).
-22*j**2
Let m(i) = 2*i**2 - 11*i + 11. Let o(k) = -k**2 + 6*k - 6. Give -6*m(u) - 11*o(u).
-u**2
Let b(g) = 9*g - 6. Let o(x) = 19*x - 13. Give 9*b(l) - 4*o(l).
5*l - 2
Let b(k) = 4*k + 4. Let g(n) = -n - 2. Let p be g(0). Suppose -5*h - 18 = 13*h. Let s(j) = j**2 - j - 1. Calculate h*b(x) + p*s(x).
-2*x**2 - 2*x - 2
Let y(p) = -p. Let o(u) = -9*u. Give -2*o(g) + 14*y(g).
4*g
Let k(g) = -5*g - 3. Let i be k(-2). Let b(y) = -3*y**3 - 11*y**2 + 2*y - 7. Let m(o) = -2*o**3 - 6*o**2 + o - 4. Give i*m(w) - 4*b(w).
-2*w**3 + 2*w**2 - w
Let z(y) = 5*y**2 + 7*y + 2. Suppose 5 = 3*m - 13. Let v = 10 - 3. Let a(q) = -4*q**2 - q - 4*q**2 + v*q**2. Calculate m*a(n) + z(n).
-n**2 + n + 2
Let j = 73 - 94. Let b(t) = 2*t - 5. Let w(o) = -9*o + 21. Give j*b(m) - 5*w(m).
3*m
Let n(v) = -3*v**2 - 44*v - 8. Let s(t) = t**2 + 11*t + 2. Give -2*n(j) - 9*s(j).
-3*j**2 - 11*j - 2
Suppose 5*w = l + 21, -2*w + 3*l + 11 = -0*l. Let v(p) = 2*p**2 - 5*p + 1. Let a(k) = -k**2 + 4*k - 1. Give w*a(j) + 3*v(j).
2*j**2 + j - 1
Let n(q) = 3*q + 2. Let f(t) = 4*t + 2. Determine 6*f(o) - 7*n(o).
3*o - 2
Let r(l) = 5*l**2 - 11*l - 6. Let x(c) = c**2 - c - 1. Let k(q) = -r(q) + 6*x(q). Let i(y) = -y. What is -6*i(v) - k(v)?
-v**2 + v
Let q(c) = 16*c**3 - 8*c - 8. Let l(x) = -5*x**3 + 3*x + 3. What is 8*l(t) + 3*q(t)?
8*t**3
Let d(t) = -4*t + 7. Let y(l) = 5*l**2 + 16 - 1 - l**2 + 12*l - 3*l**2. Let r be y(-10). Let p(w) = -3*w + 6. What is r*d(k) + 6*p(k)?
2*k + 1
Let u(p) = -p - 1. Let i(s) = -2*s - 2. What is 6*i(c) - 11*u(c)?
-c - 1
Let s(u) = 1. Let d(q) = -9*q**2 - 15. Give d(w) + 15*s(w).
-9*w**2
Let j(i) = i**3 - 3*i**2 + 3*i - 1. Let a(x) be the third derivative of x**5/60 - x**4/24 - 7*x**2. Give 3*a(l) + j(l).
l**3 - 1
Let m(p) = 3*p**2 + 5*p + 1. Suppose -20 = -5*t, 5*a - 5*t + t = 9. Let z(q) = 3*q**2 - 1 + 8*q**2 - 6*q - 14*q**2 + 0*q**2. What is a*z(d) + 6*m(d)?
3*d**2 + 1
Let n(l) = -2*l**2 - 3*l - 2. Let s be (-3)/(-12) - (-6)/8. Let k = 3 - s. Let i(o) = -5 + 0 + o - 6*o**k - 9*o. Give -3*i(v) + 8*n(v).
2*v**2 - 1
Let n(z) = 8*z**2 + 8*z - 7. Let w(u) = 49*u**2 - 92*u**2 + 58*u**2 - 13 + 15*u. Calculate 11*n(v) - 6*w(v).
-2*v**2 - 2*v + 1
Let s(p) = 2*p**2 + 1. Let o(m) = -4*m**2 - 3. Let h = -34 + 18. Let w be (-8)/h + (-6)/(-4). Give w*o(j) + 5*s(j).
2*j**2 - 1
Let u(i) = 2*i**2 + 2*i - 2. Suppose 0 = 4*x - 2*b - 4, -x - b + 2 = -2. Let f(c) = c**3 + c**2 - 1. What is x*f(k) - u(k)?
2*k**3 - 2*k
Let s(u) = -6*u + 3. Let m(b) = -5*b + 4*b - 2 + 6*b. Calculate -4*m(h) - 3*s(h).
-2*h - 1
Let m(x) = 31*x. Let w(l) = 6*l. Give -6*m(o) + 30*w(o).
-6*o
Let b(l) = -22*l**3 + 7*l**2 - 7*l. Let f(z) = -7*z**3 + 2*z**2 - 2*z. Determine -4*b(r) + 14*f(r).
-10*r**3
Let k(x) = -2*x - 1. Let h(q) = 8*q + 4. Let z(i) = -3*i - 33. Let f be z(-14). Calculate f*k(l) + 2*h(l).
-2*l - 1
Let m(d) = -23*d**3 + 2*d - 9. Let q(b) = -12*b**3 + b - 4. What is 4*m(t) - 9*q(t)?
16*t**3 - t
Let v(z) be the second derivative of -3*z**5/10 + 11*z**4/12 - 4*z**3/3 - 4*z**2 + 10*z. Let m(u) = -4*u**3 + 7*u**2 - 5*u - 5. Calculate 8*m(g) - 5*v(g).
-2*g**3 + g**2
Let o(q) = -q. Suppose 8*b - 6 = 2*b. Let j(y) = 5*y - 1. What is b*j(h) + 6*o(h)?
-h - 1
Let z(c) = -27*c**3 + 13*c**2 - 13*c - 2. Let x(w) = -13*w**3 + 6*w**2 - 6*w - 1. Give -13*x(b) + 6*z(b).
7*b**3 + 1
Let z(s) = 15*s - 2. Let q(l) = 330*l - 45. What is -2*q(c) + 45*z(c)?
15*c
Let a(y) = -3*y**2 - 3*y + 5. Let k(l) = -l**2 - l + 2. Let i(c) = 2*a(c) - 5*k(c). Let o(q) = -2*q**2 + 3*q. Calculate -3*i(n) - o(n).
5*n**2
Let b(x) = 2*x**2 - 4*x + 4. Let v(j) = 2*j**2 - 3*j + 3. Let t(q) = -q**2 + q + 15. Let l be t(4). Calculate l*b(f) - 4*v(f).
-2*f**2
Let i(r) = -r**2 - r + 1. Let k(h) = -3*h**3 + 4*h**2 + 6*h - 10. Let s(g) = -6*i(g) - k(g). Let z(j) = 7*j**3 + 4*j**2 + 9. Calculate 9*s(o) - 4*z(o).
-o**3 + 2*o**2
Let w(r) = -143*r + 55. Let p(m) = 8*m - 3. Determine -55*p(a) - 3*w(a).
-11*a
Suppose -6 = -4*x - r, 9 = 5*x + r + 1. Let f(d) = 5*d**3 - d - 4*d**3 - 13 + 2*d**3. Let a(s) = 3*s**3 - s**3 - 3*s**3 + 4. Give x*f(o) + 7*a(o).
-o**3 - 2*o + 2
Suppose 31 = 4*c + 11. Let k = -9 + 6. Let l(w) be the third derivative of -w**4/12 + w**3/6 + w**2. Let j(s) = -3*s + 1. What is c*l(m) + k*j(m)?
-m + 2
Let a(f) = -f**3 + 3*f - 8. Let s(p) = 4*p**3 - 11*p + 31. What is -22*a(o) - 6*s(o)?
-2*o**3 - 10
Let c(z) = 11 - 2*z**2 + 0*z**2 - 7. Let f(s) be the third derivative of s**3/6 + 3*s**2. Let h = 2 - -2. What is h*f(u) - c(u)?
2*u**2
Let x(s) = -2*s + 6. Let p(w) be the second derivative of w**3/3 - 7*w**2/2 + 25*w. Calculate 2*p(m) + 3*x(m).
-2*m + 4
Let m(q) = -33*q - 5. Let x(s) = -133*s - 21. Give -21*m(i) + 5*x(i).
28*i
Suppose -73*y + 71*y = -22. Let f(b) = 3*b + 2. Let x(j) = -16*j - 10. What is y*f(l) + 2*x(l)?
l + 2
Let k(n) = 5*n**2. Let i(d) be the first derivative of 1/3*d**3 + 0*d - 1 + 0*d**2. Suppose -4*g + 15 = 5*p + g, -5*p + 5*g = -45. What is p*i(w) - k(w)?
w**2
Let p(m) = -2*m + 3. Let x(n) = -10*n + 3*n + 3 + 5*n. Calculate -3*p(w) + 2*x(w).
2*w - 3
Let g(z) = z**3 - 4*z**2 + 6*z + 3. Let d(t) = t**2 - t + 1. Give -4*d(c) - g(c).
-c**3 - 2*c - 7
Let v(y) = -2*y. Let u(d) = 3*d. Give -4*u(s) - 5*v(s).
-2*s
Let r(j) = j**2 + j - 1. Let b(s) = -5*s + 4. What is b(m) + 4*r(m)?
4*m**2 - m
Let m = 45 + -51. Let h(l) = -5*l + 8. Let i(q) = 9*q - 15. Suppose 0 = -5*s - 4*d - 67, -2*d + 19 = -2*s - d. What is m*i(x) + s*h(x)?
x + 2
Let i(a) = -a - 1. Let u = 16 - 14. Let d(p) be the first derivative of -1 + 3*p**u + 4*p + 1/3*p**3. Determine d(s) + 4*i(s).
s**2 + 2*s
Let v(s) be the first derivative of s**3 - 3*s**2/2 - 1. Let i(b) = -b**2. Let l(q) = q. Let f(m) = -i(m) - l(m). Let u = 6 - 5. Give u*v(x) - 2*f(x).
x**2 - x
Let r(s) = -21*s**2 - 6*s - 10. Suppose 6*o - 16 = 2*o, -2*o + 63 = -5*w. Let q(m) = 4*m**2 + m + 2. Calculate w*q(n) - 2*r(n).
-2*n**2 + n - 2
Let f(p) = 5*p**3 - 4*p**2 + 4*p. Let j(i) = -10*i**3 + 9*i**2 - 9*i. Calculate -9*f(s) - 4*j(s).
-5*s**3
Let d(v) = 3*v + 6. Let s(r) = -4*r - 7. Let i be (-26)/(-7) - 24/(-84). Give i*s(a) + 5*d(a).
-a + 2
Let w(c) = -4*c + 4. Let v(g) = -2*g + 2. Calculate -14*v(o) + 6*w(o).
4*o - 4
Let j(a) = -3*a + 11.