2
Suppose 5*p + 5 = 6*p. Let l(c) = -7*c**2 + 6*c + 5. Let k(u) = u**2 - u - 1. Calculate p*k(v) + l(v).
-2*v**2 + v
Let n(d) = -9 + 2*d - 4*d + 3*d**2 + 3. Let v(j) = 6*j**2 - 13*j - 10. Let p(z) = -12*z**2 + 23*z + 21. Let f(c) = -3*p(c) - 5*v(c). Give 6*f(w) - 13*n(w).
-3*w**2 + 2*w
Let u(s) = -s**2 - s - 1. Let m(i) = -i + 33. Determine -m(h) + u(h).
-h**2 - 34
Let t(g) be the first derivative of -2 + 3/2*g**2 + 5*g + 7/3*g**3 - 1/4*g**4. Let j(y) = -y**3 + 6*y**2 + 2*y + 4. Determine -5*j(i) + 4*t(i).
i**3 - 2*i**2 + 2*i
Let q(x) = 15*x**3 - 7*x**2 - 11*x + 6. Let r(v) = -8*v**3 + 4*v**2 + 6*v - 3. What is 6*q(j) + 11*r(j)?
2*j**3 + 2*j**2 + 3
Let m(k) be the first derivative of 2*k**3/3 - 9*k**2/2 + 7*k + 5. Let b(x) = 3*x**2 - 5*x + x - 2*x**2 + 3. What is -14*b(g) + 6*m(g)?
-2*g**2 + 2*g
Let g(o) = -o**2 - 4*o. Suppose 3*p - z = 26, 4*z + 3 = -p + 2*z. Let a(n) = -n**2 - 7*n. Give p*g(d) - 4*a(d).
-3*d**2
Let v(w) = 4*w**2 - 8*w + 1. Suppose 0*d - 6 = -d. Let f(n) = 3*n**2 - 7*n + 1. Give d*f(r) - 5*v(r).
-2*r**2 - 2*r + 1
Let c(z) = -80*z**3 - 55*z**2 - 55*z. Let t = -117 + 172. Let k(o) = 3*o**3 + 2*o**2 + 2*o. Calculate t*k(u) + 2*c(u).
5*u**3
Let m = -8 + 11. Let s(k) be the third derivative of -5*k**4/24 + 4*k**3/3 - k**2. Let c(g) = -2*g + 3. Give m*s(f) - 8*c(f).
f
Let d(n) = 11*n - 2. Let s(r) = -21*r + 3. Calculate -5*d(b) - 3*s(b).
8*b + 1
Suppose -7*y = -2*y - 5. Let i(x) = -2*x**2 - 4*x. Let s(q) = 3*q**2 + 7*q. Let g(u) = 5*i(u) + 3*s(u). Let d(m) = -7*m**2 + 6*m. Determine y*d(k) - 6*g(k).
-k**2
Let d(v) = -5*v**3 - 4*v**2 - 4. Let n(z) = 18 + 55*z**2 + 20 + 70*z**3 + 17. Determine -55*d(s) - 4*n(s).
-5*s**3
Let j(f) = -7*f**3 + f**2 + 6*f - 5. Let u(o) be the first derivative of o**4/4 - o**2/2 + o + 6. Calculate -j(i) - 6*u(i).
i**3 - i**2 - 1
Let m(x) = -5*x + 8. Let t(j) = 11*j - 16. Calculate -9*m(c) - 4*t(c).
c - 8
Let k(d) = -13*d**2 + 5 - 17*d - 7 + 30*d - 5*d**3. Let y(l) = 2*l**3 + 6*l**2 - 6*l + 1. Give -6*k(p) - 13*y(p).
4*p**3 - 1
Let y(l) = l**3 - l**2. Let a(t) be the first derivative of t**4 - 5*t**3/3 + 20. What is -a(z) + 3*y(z)?
-z**3 + 2*z**2
Let v(n) = 5*n. Suppose 1 = 8*t - 7. Let i(l) = l - 1. Calculate t*v(z) - 3*i(z).
2*z + 3
Let t(v) = v**2 - v. Let r(a) = -7*a**2 + 6*a. Let m(z) = 0*z**2 - 7*z - 5 + z**3 + z**2 + 3*z**2. Let n be m(-5). What is n*t(c) + r(c)?
-2*c**2 + c
Let s(c) = -3*c**2 - 1. Let d be s(1). Let q be (d + -2)/(6/4). Let f(t) = -6*t + 4. Let x(o) = 5*o - 3. Give q*x(i) - 3*f(i).
-2*i
Suppose 0 = -l - 4*j + 9, -4*l - 3*j - 6 = l. Let x(v) = v**3 - v - 1. Let y(h) = -h**3 + 5*h + 5. Give l*x(f) - y(f).
-2*f**3 - 2*f - 2
Let b(n) = 7*n**2 + 11*n + 3. Let k(s) = -3*s**2 - 5*s - 1. Determine 4*b(q) + 9*k(q).
q**2 - q + 3
Let j(u) = -u + 5. Let t(c) = 3. Calculate 4*j(s) - 7*t(s).
-4*s - 1
Let w(a) = -14*a**2 - 5*a - 3. Suppose 5*b + 29 = 4*l, -b - 11 + 2 = -4*l. Let u(c) = -9*c**2 - 3*c - 2. Determine b*w(n) + 8*u(n).
-2*n**2 + n - 1
Let k(o) = o**3 + o**2. Let s(w) = -5*w**3 - 6*w**2 - 11. Give 6*k(d) + s(d).
d**3 - 11
Let a(y) = -y**2 - 6*y - 1. Let t(m) = -3*m - 9. Let w be t(-4). Let i(v) = -v**2 - 5*v - 1. Determine w*a(c) - 4*i(c).
c**2 + 2*c + 1
Let h(p) = p**3 + p. Suppose 5*v = 5, 0*t = -3*t - 5*v + 14. Let c(k) = 3*k + 4*k + 8*k**t - k**2 + 0*k**2. Give 2*c(y) - 14*h(y).
2*y**3 - 2*y**2
Let d(y) be the third derivative of y**5/12 - 7*y**4/24 + 4*y**3/3 + 5*y**2. Let r(t) = -14*t**2 + 20*t - 23. Give -17*d(j) - 6*r(j).
-j**2 - j + 2
Suppose 7 = 4*x + 3, -2*p = -5*x - 7. Let i(h) = h**2 + 4*h - 5. Let u(d) = -2*d**2 - 7*d + 9. Calculate p*u(y) + 11*i(y).
-y**2 + 2*y - 1
Let z(t) = -7*t + 4. Let u(i) = 2*i. What is 2*u(g) + z(g)?
-3*g + 4
Let k(u) = u. Let b(i) be the third derivative of i**6/60 - i**5/10 + i**4/3 + 12*i**2. Determine b(r) - 8*k(r).
2*r**3 - 6*r**2
Let a(r) = -70*r**2 - 55*r. Suppose 7*s + 35 = 7. Let i(k) = -5*k**2 - 4*k. Give s*a(g) + 55*i(g).
5*g**2
Suppose 5*l - n - 6 = 0, 3*l = -l + 2*n. Let z(b) = b**3 + 2*b**2 - 2*b - 3. Let m(g) = 3*g**3 + 5*g**2 - 4*g - 7. Determine l*m(c) - 5*z(c).
c**3 + 2*c + 1
Let w(n) = n**2 - 3. Let i(o) = 2 - 1 + 0 - 2. Determine 2*i(m) - w(m).
-m**2 + 1
Let w(f) = -14*f**3 - 17*f**2 + 17*f + 167. Let d(s) = 5*s**3 + 6*s**2 - 6*s - 56. Give 17*d(j) + 6*w(j).
j**3 + 50
Let u(f) = 4*f**2 - 5*f + 4*f + f. Let s(m) = -m**2 + m. Let c(l) = l - 6. Let o be c(8). Give o*s(a) + u(a).
2*a**2 + 2*a
Let a(k) = k**3 + 12*k**2 + 10*k - 4. Let j be a(-11). Let d be -2 + (1 - 0) + j. Let u(w) = 7*w - 4. Let q(s) = -8*s + 5. Calculate d*u(i) + 5*q(i).
2*i + 1
Let r(x) = x**2 - 15*x - 2. Let z(v) = v**2 - 16*v - 3. Give 3*r(m) - 2*z(m).
m**2 - 13*m
Suppose 10*r = 11*r - 1. Let l(y) = -y. Let k(a) = -10*a + 1. Calculate r*k(t) - 6*l(t).
-4*t + 1
Let i(d) = d**2 - d. Let h(b) = -3*b**2 + 3*b. Let u(p) = -2*h(p) - 5*i(p). Let c(z) = 3*z**2 - 3*z. Calculate -c(g) + 2*u(g).
-g**2 + g
Let c(i) = i - 1. Let t = 4 - 19. Let z = -29 - t. Let w = 22 + z. Let x(s) = 2*s - 2. What is w*c(b) - 3*x(b)?
2*b - 2
Let s(x) = -5*x**2 - 4*x - 4. Let k(b) = -4*b**2 - 3*b - 3. Determine -4*k(t) + 3*s(t).
t**2
Let g(w) = w - 5. Suppose -5*o = -6 - 9. Suppose -4 = 2*r + 4. Let l(d) = -d + 8. Let s(k) = -3*k + 23. Let i(a) = r*s(a) + 11*l(a). Give o*g(p) - 4*i(p).
-p + 1
Let f(j) = 3*j**3 + j**2 + 7*j - 4. Let p(b) = -6*b**3 - 2*b**2 - 15*b + 9. Calculate -9*f(v) - 4*p(v).
-3*v**3 - v**2 - 3*v
Let j(i) = -2*i**2 + 14*i. Let y(r) = -5*r**2 + 42*r. What is 8*j(t) - 3*y(t)?
-t**2 - 14*t
Let r(h) = -2*h + 4. Let f(t) be the second derivative of t**2/2 + t. Let a be 1/(-1 + 3)*-8. What is a*f(y) + r(y)?
-2*y
Let i(a) = -a. Let n(d) = -d + 1. Determine i(l) + n(l).
-2*l + 1
Let v(n) = -39*n + 9. Let t(a) = 20*a - 5. Calculate -11*t(z) - 6*v(z).
14*z + 1
Let p(t) = 3*t**3 + 5*t**2 + 5*t + 5. Let l(s) be the first derivative of 5*s**4/4 + 7*s**3/3 + 7*s**2/2 + 7*s + 3. What is 5*l(w) - 7*p(w)?
4*w**3
Let s(b) = -b**2 - b + 4. Let j(g) = -1 + 6*g - 32*g**2 - 8 + 35*g**2 - 4*g. Determine 4*j(x) + 9*s(x).
3*x**2 - x
Let p(s) = 2*s + 1. Let x(t) = -17*t - 9. Let u(d) = -22*p(d) - 2*x(d). Let i(o) = -11*o - 5. What is 6*i(y) - 7*u(y)?
4*y - 2
Let k be (1/3)/((-1)/15). Let h(l) be the first derivative of -2*l**3/3 + l**2 + 3*l + 1. Let p(r) = -2*r**2 + 3*r + 4. What is k*h(w) + 4*p(w)?
2*w**2 + 2*w + 1
Let r(s) = 7*s - 7. Let x(z) = 20*z - 20. Let t(l) = -140*l + 140. Let i(f) = -3*t(f) - 20*x(f). Calculate -6*i(q) + 17*r(q).
-q + 1
Let i(o) = 5*o**2 + 4*o - 3. Let m(j) = 14*j**2 + 11*j - 8. Let n = 0 - -8. Calculate n*i(g) - 3*m(g).
-2*g**2 - g
Let f(d) be the first derivative of -10*d**2 - 3*d + 5. Let v(b) = 7*b + 1. What is -3*f(a) - 8*v(a)?
4*a + 1
Let q(f) = -16*f + 30. Let u(w) = 3*w - 6. Suppose 3*h - 4*l = 2, 5*l = -5*h + 1 + 14. Determine h*q(k) + 11*u(k).
k - 6
Let i(a) = 19 + 12 - 42 + 6*a. Let o(k) = 2*k - 4. Give -3*i(u) + 8*o(u).
-2*u + 1
Let j(k) = -k**2 - 3*k + 3. Let f be j(-5). Let h(o) = -13*o**2 + o + 7. Let p(i) = -4*i**2 + 2. Calculate f*p(r) + 2*h(r).
2*r**2 + 2*r
Let q(a) = -2*a - 9. Let r(h) = -h - 4. Suppose -t + 5*t = 4. Suppose l + t = 3. Determine l*q(c) - 5*r(c).
c + 2
Let j(r) = -10*r**3 - 3*r**2 + 3*r - 3. Let n(y) = 169*y**3 + 52*y**2 - 52*y + 52. What is 52*j(p) + 3*n(p)?
-13*p**3
Let t = -14 - -14. Let u(q) = q + 2*q**2 + 2*q + t*q - 2. Let p(o) = -5*o**2 - 7*o + 5. Determine -4*p(w) - 9*u(w).
2*w**2 + w - 2
Let v(i) = -16*i - 6. Let h(o) = 5*o + 2. Let q(c) = 2*c**2 - 13*c + 9. Let p be q(6). Give p*v(d) + 10*h(d).
2*d + 2
Let c(y) = -y. Let f(v) = 4*v + 1. Suppose 0 = -7*k + 12*k - 15. Suppose -k*b - b + 20 = 0. What is b*c(u) + f(u)?
-u + 1
Let z(q) = 7 - 7 - 4 - 5*q. Let p(r) = 14*r + 11. Calculate -6*p(f) - 17*z(f).
f + 2
Let o(a) = 22*a**2 - 7. Let h(k) = 7*k**2 - 2. Suppose -4*g + 22 = 3*n, -g + 2*n + 4 = -7. Give g*h(d) - 2*o(d).
5*d**2
Let m(p) = 4*p + 24. Let c(b) = -b - 5. Let z = 12 + -7. Suppose 4*l + 1 = -z*y - 11, l + 10 = -3*y. Let d = -1 - y. Give d*m(t) + 14*c(t).
-2*t + 2
Let z(c) = 36*c**3 - 4*c**2 + 3*c - 2. Let q(s) = -54*s**3 + 6*s**2 - 5*s + 3. What is 5*q(v) + 8*z(v)?
18*v**3 - 2*v**2 - v - 1
Let t(m) = 31*m**2 - 3*m. Let u(y) = -y**2 + y. Give -t(n) - 3*u(n).
-28*n**2
Let l(v) = v + 4*v + 1 - 2*v. Let y(o) = o. Give 