etermine 4*l(p) + 5*q(p).
2*p**2 + p - 1
Let p(i) = -6*i**3 + 2*i**2 + 5*i + 2. Let y(r) = -7*r**3 + 2*r**2 + 6*r + 2. What is -6*p(b) + 5*y(b)?
b**3 - 2*b**2 - 2
Let r(o) = -7*o + 6. Let p(w) be the first derivative of -w**2/2 + w + 60. Give 6*p(n) - r(n).
n
Let t(q) = -4*q + 10. Suppose 5*z + 2*l - 22 = -4, -3*l = -z + 7. Suppose -26 + 12 = -o. Let j(h) = h - 3. Calculate o*j(g) + z*t(g).
-2*g - 2
Let h(w) = -3*w**3 + 6. Let r(y) = 3*y**3 - 7. Give 6*h(c) + 5*r(c).
-3*c**3 + 1
Let k(i) = -2*i**3 + 3*i**2 + i + 3. Suppose 5*r + 3 - 68 = 0. Let d = r - 11. Let n(o) = o**3 - 2*o**2 - 2. Calculate d*k(u) + 3*n(u).
-u**3 + 2*u
Let f(v) = -2*v**3 + 6*v**2 - 19*v + 2. Let g(j) = -j**3 + 3*j**2 - 10*j + 1. What is -6*f(d) + 11*g(d)?
d**3 - 3*d**2 + 4*d - 1
Let x(u) = 31*u**3 - 2*u**2 - 5*u. Let s(p) = 94*p**3 - 6*p**2 - 16*p. Determine 5*s(z) - 16*x(z).
-26*z**3 + 2*z**2
Let k(f) = f - 2. Suppose 2*y = -y + 6. Let m(c) = -y*c**2 + c**2 + 1 + 0*c**2. What is k(d) + 2*m(d)?
-2*d**2 + d
Let y(l) = l - 1. Let a(m) = 7*m + 48. Calculate a(i) - 6*y(i).
i + 54
Let q(d) = 6*d**3 + 2*d**2 - 9*d + 13. Let o(u) = 5*u**2 + 23*u**3 - 2*u**2 - 4*u**2 + 4*u - 26*u**3 - 6. Calculate -9*o(j) - 4*q(j).
3*j**3 + j**2 + 2
Let n(v) = -5*v - 1. Let r be n(-1). Let y(z) = -2*z + 6*z + r*z - 2 - 3*z. Let c(o) = 3 - 2*o + o - 5*o. What is -3*c(f) - 4*y(f)?
-2*f - 1
Let o(u) be the third derivative of u**4/12 + 5*u**3/3 + 8*u**2. Let g be o(-7). Let t(j) = j**2 - 1. Let q(h) = -2*h**2 + 6. What is g*t(z) - q(z)?
-2*z**2 - 2
Let o(m) = 1. Let s(d) = d - 1. Let k = 9 + -7. Let i(u) = -3*u - 1. Let a(l) = k*s(l) + i(l). What is a(j) + 2*o(j)?
-j - 1
Let z(h) = h**2 + 7*h + 6. Let s be z(-7). Let p(n) = -8*n**3 - 6*n**2 - 6*n. Let f(i) = -4*i**2 - 4*i**3 + i + 5*i**3 + 5*i**2. Give s*f(d) + p(d).
-2*d**3
Let a(w) = -w**3 + 5*w**2 - 2*w. Let x(c) = c**3 - 4*c**2 + c. Let k be (-2)/11 - 92/(-22). What is k*x(m) + 3*a(m)?
m**3 - m**2 - 2*m
Let k(h) = h**2 - 1. Let w(x) = -12*x**2 - 2*x + 6. What is 6*k(y) + w(y)?
-6*y**2 - 2*y
Let g(b) = 9*b**3 + 5*b**2. Let x(o) be the first derivative of o**4 + 2*o**3/3 - 6. Determine -3*g(a) + 7*x(a).
a**3 - a**2
Let y(f) = f + 1. Let c(m) = 4*m + 2. What is c(k) - y(k)?
3*k + 1
Let r(u) = 3*u**2 - 7*u. Let b(y) = y**2 - y. Let a(k) = -k**3 - 8*k**2 - 8*k + 5. Let g be a(-7). Let t be (-20)/g - 2/(-3). What is t*r(h) + 5*b(h)?
2*h**2 + 2*h
Let u(k) = 2*k**2 - 4*k + 4. Let x(a) = -5 + 0*a**2 + 5*a + 0*a**2 - 2*a**2. Suppose 60 + 0 = 15*t. Calculate t*x(p) + 5*u(p).
2*p**2
Let o(f) = -20*f**3 - 5*f**2 - 9*f + 3. Let i(j) = 10*j**3 + 3*j**2 + 5*j - 2. What is -5*i(y) - 3*o(y)?
10*y**3 + 2*y + 1
Let j(t) = t**3 + 18*t**2 - 2*t. Let y(m) = m**3 + 35*m**2 - 4*m. Determine -5*j(g) + 3*y(g).
-2*g**3 + 15*g**2 - 2*g
Let j(x) = x**2 + x. Let o(l) = 28*l**2 + 24*l. What is 24*j(f) - o(f)?
-4*f**2
Let r(z) = 2*z**2 - 5 + 10*z - 2 - 4*z. Let i(s) = 15*s - 1 - 4*s - 10*s. Calculate 6*i(y) - r(y).
-2*y**2 + 1
Let y(p) = 3*p**2 - 9*p - 5. Let s(a) be the first derivative of -2*a - 2*a**2 - 2 + 1/3*a**3. Give -5*s(j) + 2*y(j).
j**2 + 2*j
Let g(a) = 3*a - 2. Let b(j) be the first derivative of j**2/2 - 16. Give 5*b(v) - g(v).
2*v + 2
Let f(l) = -l**3 + 4*l**2 + 2*l - 3. Let p(b) = b**3 - 7*b**2 - 4*b + 5. Give 5*f(s) + 3*p(s).
-2*s**3 - s**2 - 2*s
Let b(j) = -3 + 20*j**3 - 40*j**3 + 24*j**3 - 2*j**2 - 3*j**2. Let o(s) = 3*s**3 - 4*s**2 - 3. What is 2*b(p) - 3*o(p)?
-p**3 + 2*p**2 + 3
Let s(q) = 4*q**3 + 3*q**2 + 2. Let o(k) = 7*k**3 + 5*k**2 + 4. Let j = -80 + 85. Determine j*s(t) - 3*o(t).
-t**3 - 2
Suppose -2*t - 10 = 0, -4*l + 6 = 3*t - t. Let k(a) = -2*a - 2. Let b(s) = -3*s - 3. What is l*b(m) - 5*k(m)?
-2*m - 2
Let i(w) = 6*w**2 - 11*w. Let m(x) = 2*x**2 - 4*x. Suppose -5*k + 2*k + 5 = -4*l, 0 = k - 2*l - 1. What is k*i(r) - 8*m(r)?
2*r**2 - r
Let b(t) = -t**2 - 2*t - 3. Let m(c) = 2*c**2 + 6*c + 8. Let p(l) = l**2 + 9*l - 2. Let n be p(-10). Determine n*b(x) + 3*m(x).
-2*x**2 + 2*x
Let n(h) = -h**3 + h + 1. Let w(s) = 4*s**3 + 3*s + 3. What is 3*n(u) - w(u)?
-7*u**3
Let h(g) = -g + g + 15*g. Let v(t) be the third derivative of -7*t**4/24 + 6*t**2 + 3. What is -6*h(a) - 13*v(a)?
a
Let p(z) = -9*z**2 + 5*z + 5. Let v(a) be the second derivative of 5*a**4/12 - a**3/2 - 3*a**2/2 - 15*a. Give -3*p(u) - 5*v(u).
2*u**2
Let g(o) = -6*o**3 - 2*o + 2. Let y(a) = a**3 + a - 1. Give -g(s) - 2*y(s).
4*s**3
Let h(w) = 5*w**2 - 5. Let y(d) = -18*d**2 + 7*d + 18. Let q(l) = 9*l**2 - 4*l - 9. Let n(j) = 5*q(j) + 3*y(j). Give -5*h(k) - 3*n(k).
2*k**2 - 3*k - 2
Let x(p) = -2*p**2 + 2*p - 2. Let a be 2/(-13) - (-15)/13. Let n(o) = o - 1. What is a*x(h) - n(h)?
-2*h**2 + h - 1
Let r(p) = 5*p**2 + 3. Let m(s) = -14*s**2 - 8. Calculate 4*m(q) + 11*r(q).
-q**2 + 1
Let n(k) = -k**3. Let z(s) be the third derivative of s**6/24 - s**4/24 - s**3/3 + 2*s**2. Suppose h = -4*h + 20. What is h*n(b) + z(b)?
b**3 - b - 2
Let o(v) = -33*v**3 - 21*v**2 - 21*v + 21. Let g(t) = 8*t**3 + 5*t**2 + 5*t - 5. Determine -21*g(j) - 5*o(j).
-3*j**3
Let s(m) = 2. Let x(v) = -v + 1. Calculate 2*s(u) - 3*x(u).
3*u + 1
Let x(c) = 3*c**2 - 12. Let h(a) = a**2. Calculate 2*h(g) - x(g).
-g**2 + 12
Let f(s) = -s + 1. Let d(n) = 3*n - 4. Let p(k) = k - 1. Let w(q) = -2*d(q) + 5*p(q). What is -2*f(y) + w(y)?
y + 1
Let p(g) = 3*g**2 - 2*g - 3. Let j(x) = 5*x**2 - 4*x - 6. What is -4*j(k) + 7*p(k)?
k**2 + 2*k + 3
Let l(o) = -11*o**2 + 2*o + 2. Let n(y) = 12*y**2 - 2*y - 2. Calculate 5*l(k) + 4*n(k).
-7*k**2 + 2*k + 2
Let l(r) = -3*r + 1. Let y(d) = 7*d - 1. What is -9*l(q) - 4*y(q)?
-q - 5
Let u(a) = 5371*a**3 + 205*a**2 - 205*a - 205. Let d(z) = -79*z**3 - 3*z**2 + 3*z + 3. What is -205*d(g) - 3*u(g)?
82*g**3
Let j(c) = -4*c + 1. Let b(d) = 2*d**3 - 11*d**2 + 29*d - 13. Let t(f) = -f**3 + 6*f**2 - 15*f + 7. Let g(u) = 6*b(u) + 11*t(u). Give 2*g(v) + 5*j(v).
2*v**3 - 2*v + 3
Let h(o) = -o**3 - 5*o**2 + 9*o + 5. Let u(i) = i**3 + 3*i**2 - 4*i - 3. Let k(d) = -3*h(d) - 5*u(d). Let y(g) = -2*g**3 - 6*g. What is 6*k(j) - 7*y(j)?
2*j**3
Let z(f) be the first derivative of -5*f**2/2 - 3. Let c be z(1). Let r = -20 - -14. Let x(p) = 7*p - 5. Let o(m) = -8*m + 6. Calculate c*o(b) + r*x(b).
-2*b
Let t(f) = -33*f**2 - 5. Let p(b) = b**2 - 1. What is 5*p(d) - t(d)?
38*d**2
Let n(a) = -2*a - 40. Let p(m) = 1. Determine -n(v) - 3*p(v).
2*v + 37
Let j(d) = -11*d**3 - 3*d**2 - 3*d + 3. Let l(s) = s**2 + s - 1. What is j(x) + 3*l(x)?
-11*x**3
Let u(c) = c. Let s = 2 + -4. Let h be 2*-1 + s - -2. Let t(w) = -w. Let m(b) = -b**3 + 8*b**2 - 1. Let v be m(8). Calculate h*u(k) + v*t(k).
-k
Let p(u) = -6*u**2 - 10*u + 21. Let i(g) = -g**2 - 2*g + 4. Let l(y) = -y**2 - 7*y + 49. Let f be l(5). What is f*i(k) + 2*p(k)?
-k**2 + 2*k - 2
Suppose -3*p + 9 = 0, r - 3*p - 4 = -6*p. Let a(s) = -s + 11. Let t(d) = d - 6. Let v(u) = 2*a(u) + 5*t(u). Let l(b) = -2*b + 5. Calculate r*v(h) - 8*l(h).
h
Let h(i) = -3*i + 1. Suppose -2*w + b + 3 = 0, 0 = -5*w - b + 17 + 1. Let f(n) = 4 + 3 - w - 6 + 7*n. Determine -2*f(k) - 5*h(k).
k - 1
Let a(g) be the second derivative of g**5/20 - 5*g**4/12 + 5*g**3/6 - 5*g**2/2 - g + 14. Let x(d) = -2*d**3 + 4*d**2 - 4*d + 4. What is -4*a(u) - 5*x(u)?
6*u**3
Let w(x) = 5*x - 4. Let r(a) = 3*a - 3. Let m(l) = 2*l - 2. Let p(v) = 5*m(v) - 3*r(v). Determine 9*p(h) - 2*w(h).
-h - 1
Let a(n) = -4*n**3 + 18*n**2 + 5*n + 5. Let g(m) = 3*m**3 - 19*m**2 - 4*m - 4. Determine 4*a(r) + 5*g(r).
-r**3 - 23*r**2
Let w(f) = 4*f. Let j(s) = s**2 - 4*s. Determine -2*j(o) - 3*w(o).
-2*o**2 - 4*o
Let l(a) = 1. Let q(m) = -m - 5. Let v(t) = 6*l(t) + q(t). Let z(k) = -k**3 - 6*k + 8. Determine 6*v(n) - z(n).
n**3 - 2
Let t(g) be the first derivative of 2*g**3 + 21*g**2/2 + 8. Let w(a) = -a**2 - 4*a. What is 4*t(h) + 21*w(h)?
3*h**2
Let t(r) = r - 2. Suppose 1 = -0*m - m. Let o(i) be the second derivative of -1/2*i**2 + 2*i + 0 + 1/6*i**3. Determine m*t(k) + 2*o(k).
k
Let g(s) = -2*s + 6. Let n(x) = 1. Determine -g(p) + n(p).
2*p - 5
Let t(y) = -6*y**2 + 4*y + 3. Let i(m) = -13*m**2 + 9*m + 6. Determine 4*i(d) - 9*t(d).
2*d**2 - 3
Let l(p) = -p**2. Suppose -1 + 5 = 4*u. Let i(g) = 3*g**3 - 6*g**2 - 2*g. Give u*i(x) - 6*l(x).
3*x**3 - 2*x
Suppose -5 + 25 = 4*y. Let c(g) = 13 - 16 - 6*g**2 + 11 + 14 - 16*g. Let w(d) = -2*d**2 - 5*d +