13. Let a(c) = 7*c**3 + 5*c**2 + 6*c + 6. What is p*u(k) + 13*a(k)?
k**3 - k**2
Let h(m) = 5*m**2 + 2*m - 1. Let j(t) be the second derivative of t**4/2 + t**3/2 - t**2/2 - 6*t. Give 5*h(n) - 4*j(n).
n**2 - 2*n - 1
Let x(k) = 2*k**2 - 2*k + 1. Let p(j) be the second derivative of -j**4/12 + j**3/6 + 8*j. Let u = -4 - 0. Suppose -h + 4 = 5. Calculate h*x(v) + u*p(v).
2*v**2 - 2*v - 1
Let o(t) = 5*t**3 - 7*t**2 - 6*t - 6. Let v(w) = 4*w**3 - 6*w**2 - 5*w - 5. Let q be (-15 - 0)*(-16)/40. What is q*v(g) - 5*o(g)?
-g**3 - g**2
Let u(c) = -1. Let z = -8 - -10. Suppose v - z = -0. Let y(q) = 4 - 2 + q + v. Calculate 4*u(n) + y(n).
n
Let x(s) = -s - 1. Let z(a) = 7*a + 5. Suppose 30 = -67*u + 72*u. Determine u*x(v) + z(v).
v - 1
Let t(d) = 5*d**2 + 2*d - 3. Let j be (-26)/(-10) - 2/(-5). Let a(g) be the first derivative of 3*g**2 - 8*g + 14/3*g**3 - 1. Calculate j*a(u) - 8*t(u).
2*u**2 + 2*u
Let f(w) = 2*w**2 + w - 3. Let b(s) = s. Let v(t) = 3*b(t) + f(t). Let d(g) = -5*g**2 - 11*g + 8. Calculate 3*d(i) + 8*v(i).
i**2 - i
Let u(t) = t**3 + 4*t**2 + 5. Let m(k) = -k**3 - 3*k**2 - 4. Determine -4*m(x) - 3*u(x).
x**3 + 1
Let g = 21 + -24. Let u(l) = -4*l**3 - 3. Let a(y) = 4*y**3 + 4. What is g*a(j) - 4*u(j)?
4*j**3
Let q(r) = 11*r**3 - 4*r**2 + 4*r + 18. Let x(n) = -5*n**3 + 2*n**2 - 2*n - 9. Give 3*q(l) + 7*x(l).
-2*l**3 + 2*l**2 - 2*l - 9
Let i(p) = p - 24. Let q(j) = -5. Calculate 2*i(b) - 11*q(b).
2*b + 7
Let k(p) = p**2 - p. Let g(t) = -4*t**2 + 3*t. Let c = -38 + 35. What is c*k(h) - g(h)?
h**2
Let t(y) = 2*y**2 + 3*y - 4. Let q(v) = 5*v**2 + 7*v - 8. Let l be 8/8*2*18/(-4). Calculate l*t(s) + 4*q(s).
2*s**2 + s + 4
Let k(x) = -7*x**3 + 27*x**2 + 6. Let f(j) = -6*j**3 + 26*j**2 + 5. Calculate 6*f(m) - 5*k(m).
-m**3 + 21*m**2
Let q(w) = w**2 + 2*w - 1. Let g(s) = -s**2 - s. Suppose -4*n = -7*n - 6. Let y be (5 - (-2 - -5)) + -3. Calculate n*g(j) + y*q(j).
j**2 + 1
Let c(d) = -6*d**2 + 3*d - 3. Let g(p) = 7*p**2 - 4*p + 4. Suppose 0 = -2*q - 3*q - 20. Calculate q*g(b) - 5*c(b).
2*b**2 + b - 1
Let a(i) = -3*i**2 + 3*i + 3. Let l(u) = 6*u**2 - 7*u - 7. Give 7*a(c) + 3*l(c).
-3*c**2
Let x(h) = -2*h + 4. Let j(r) = 1. Let l(n) = -3*n + 3. Let a be l(3). Let m = 6 - 5. Give a*j(p) + m*x(p).
-2*p - 2
Let q(h) = h - 3. Let u(o) = -1. What is -2*q(x) + 9*u(x)?
-2*x - 3
Let t(b) = -b**2 + 6*b + 4. Let a be t(5). Let m(f) = -7*f + 2*f - a - 3*f. Let y(r) = 2*r + 2. What is -2*m(i) - 9*y(i)?
-2*i
Let o(w) = -w - 2. Let z(g) = 2. Give 2*o(a) + z(a).
-2*a - 2
Let q(b) = -6*b - 16. Let z(m) be the second derivative of -m**3/6 - 3*m**2/2 - m. Give 2*q(a) - 11*z(a).
-a + 1
Let p(x) = x**2 - 2*x + 2. Suppose -h + 1 = -5*u, -2*u + 6*u - 8 = 3*h. Let d(j) = -j + 1. What is u*p(f) + 2*d(f)?
-f**2
Let z(d) = -1. Let g(f) = -f + 3. Let v(k) = -g(k) - 4*z(k). Let n(p) = -p**2 + 5*p + 5. Give n(j) - 5*v(j).
-j**2
Let y(l) = 3*l**2 - 5*l. Let n(t) = -3*t**2 + 2*t + 0*t**2 + 3*t - t. Determine -5*n(r) - 4*y(r).
3*r**2
Let s(j) = 2*j**2 - 15*j + 7. Let g(l) = l**2 - 10*l + 5. Determine 7*g(x) - 5*s(x).
-3*x**2 + 5*x
Let o(c) = -c + 1. Let l(m) = -m - 3. Give 3*l(g) + 3*o(g).
-6*g - 6
Let q(n) = 5*n**3 + 2*n - 2. Let c be q(1). Let i(s) = -2*s**2 - 7*s - 1. Let o(x) = 2*x**2 + 6*x + 1. Give c*i(y) + 6*o(y).
2*y**2 + y + 1
Let j(o) = 4*o - 3. Let n(r) = 2*r - 2. What is 4*j(i) - 9*n(i)?
-2*i + 6
Let m(y) = 35*y**2 + 4*y. Let a(d) = 104*d**2 + 11*d. Determine 4*a(u) - 11*m(u).
31*u**2
Let g(o) = o + 49. Let l(r) = r + 49. Determine -7*g(u) + 6*l(u).
-u - 49
Let z(v) = 1. Let u(k) = -2*k**2 + 5. Determine u(f) - 4*z(f).
-2*f**2 + 1
Let v(l) = l**2. Let j(z) = -2*z**2 - z - 1. Let p(i) = -j(i) - 3*v(i). Let r(b) = -b**2 + 2*b + 2. Suppose 1 = -2*n - 1. Calculate n*r(m) + 2*p(m).
-m**2
Let q(f) = f**2 - f. Let d(t) = -2*t**2 + 2*t + 1. Let j be 31/(-11) - 8/44. Give j*q(k) - d(k).
-k**2 + k - 1
Let i(f) = -2 + 6*f**2 - 7 + 3*f - 2 + 5*f. Let c(y) = y**2 + y. Let r(h) = 4*c(h) - i(h). Let g(m) = m**2 + 2*m - 6. What is 7*g(t) + 4*r(t)?
-t**2 - 2*t + 2
Let y(b) = b - 6. Let v be y(6). Let c = -4 + v. Let f(o) = o**2 - 2. Let l(h) = -4*h**2 + 7. Let i = 33 - 47. Give c*l(g) + i*f(g).
2*g**2
Let t = 20 - 12. Let x(k) = 5*k + 1 - 5 - 2*k. Let s(i) = 5*i - 6. What is t*x(z) - 5*s(z)?
-z - 2
Let u(x) = -8*x + 2 + 7*x + 2*x**2 - 3*x + 2*x + x**3. Let s(b) = -b**3 - 3*b**2 + 3*b - 3. What is 4*s(l) + 6*u(l)?
2*l**3
Let k(d) = -d + 1. Suppose 0 = -4*h + q + q, 6 = -2*h + 4*q. Let y(l) = l + 1. Give h*k(a) - y(a).
-2*a
Let x(h) = 39*h**3 - 9*h**2 - 9*h + 1. Let w(i) = -10*i**3 + 2*i**2 + 2*i. What is -9*w(u) - 2*x(u)?
12*u**3 - 2
Let v(l) = -9*l**2 - 5*l + 10. Let k(c) = -14*c**2 - 7*c + 15. Determine -5*k(i) + 7*v(i).
7*i**2 - 5
Let v(q) = q**3 - q. Let w(u) = -4*u**3 + 17*u - 2. Determine -2*v(h) - w(h).
2*h**3 - 15*h + 2
Let b(r) = 2*r**2 + 2*r + 2. Let o(y) = 7*y**2 + 14*y + 14. Let z(s) = -15*s**2 - 27*s - 27. Let k(c) = -5*o(c) - 3*z(c). Give -11*b(v) + 2*k(v).
-2*v**2
Let r(h) = h**3 + h - 6. Let g(u) = -u + 5. Let l(s) = -s + 5. Let a(z) = 5*g(z) - 6*l(z). Let t(m) be the first derivative of a(m). Give r(f) + 6*t(f).
f**3 + f
Let p(j) = -7*j**3 + j**2 + 6*j + 4. Let f(a) = a**3 - a - 1. What is 6*f(y) + p(y)?
-y**3 + y**2 - 2
Let h(s) = s**2 - s - 6. Let w be h(0). Let c(v) = -v**2 + 2*v - 2. Let x be c(1). Let l(q) = -q**2 - 7*q - 1. Let o(y) = y. Determine w*o(k) + x*l(k).
k**2 + k + 1
Let p(l) = -l - 1. Suppose -15 = u - 4*m, 2*u = -2*m + 9 + 1. Suppose -u + 6 = -5*g. Let h(a) = -a**3 + 3*a + 1. Calculate g*h(i) - 3*p(i).
i**3 + 2
Let u(h) = -h - 2. Let g(l) = -3*l - 10. Let c(m) = -g(m) + 4*u(m). Let j be (-48)/(-10) + 2/10. Let f(p) = -p + 3. Determine j*c(w) - 3*f(w).
-2*w + 1
Let v = -17 - -20. Let a(j) = 2*j + 1. Let m(p) = p. Calculate v*m(w) - 2*a(w).
-w - 2
Let t(x) = -3*x**2 + 4*x - 4. Let y(l) = -5*l**2 + 7*l - 7. Determine 7*t(i) - 4*y(i).
-i**2
Let v(z) = 11*z - 10. Suppose o - 2 = 2. Let m be v(o). Let y(a) = -6*a + 11. Let s(p) = -4 - 1 + p + 3. Calculate m*s(u) + 6*y(u).
-2*u - 2
Suppose b + q - 25 = 5*q, -3*q + 5 = 4*b. Let w(l) = 0 - 2*l + 3 + 11*l. Let a(s) = 4*s + 1. What is b*a(v) - 2*w(v)?
2*v - 1
Let c(f) = 5*f**2 + 5*f + 11. Let q be (-7)/((-7)/2) + -8. Let g = q + 12. Suppose b - 3*b = g. Let d(r) = 2*r**2 + 2*r + 5. What is b*c(m) + 7*d(m)?
-m**2 - m + 2
Let f(s) = s - 1. Let b(o) = -1. Let d(w) = -4*w + 6. Let g(y) = 3*b(y) + d(y). Give -14*f(k) - 4*g(k).
2*k + 2
Let o(t) = t + 3*t + 2 - 5*t + 2. Let n(s) = -2*s + 9. Give -4*n(b) + 9*o(b).
-b
Let g(w) = -16*w**3 - 20*w**2 - 16*w - 11. Let x(b) = -3*b**3 - 4*b**2 - 3*b - 2. Determine 2*g(q) - 11*x(q).
q**3 + 4*q**2 + q
Let b(y) = 3*y**3 - 2*y**2 + 10*y. Let m(i) = -i**2 + i. Calculate b(a) - 2*m(a).
3*a**3 + 8*a
Suppose 3*p = -0*p + 27. Let l(i) be the second derivative of -i**3/3 + 2*i**2 + 2*i. Let x(c) = -5*c + 9. Give p*l(w) - 4*x(w).
2*w
Let b(n) = -64*n. Let g(w) = 7*w. Determine -3*b(v) - 28*g(v).
-4*v
Let f(t) = 5*t**2 - t - 1. Let g(i) = 15*i**2 - 3*i - 3. Calculate 17*f(p) - 6*g(p).
-5*p**2 + p + 1
Let l(s) = s - 26. Let g(v) = v - 25. Give 5*g(o) - 4*l(o).
o - 21
Suppose r - 1 + 3 = n, -3*n = -5*r - 8. Let v(p) = p**3 - p**2 + p - 1. Let c(a) = -17*a**2 - 4*a - 19*a**2 - a**3 + 38*a**2 - 2 + 5. Calculate n*c(i) + 2*v(i).
i**3 - 2*i + 1
Let x be 1/2*-2 + -2. Let f(k) = -k + 2. Let m(u) = -3*u + 5. Give x*m(h) + 8*f(h).
h + 1
Let j(b) = -5*b**3 + 2*b**2. Let n = -10 - -11. Let v = 7 - 4. Let k(z) be the first derivative of z**4/4 - z**3/3 - 1. What is n*j(l) + v*k(l)?
-2*l**3 - l**2
Let h(p) = -p**3 - 2*p**2 + 2*p. Let n = 17 + -14. Let m(y) = y**3 + y**2 - y. Give n*h(t) + 6*m(t).
3*t**3
Let z(s) = 3*s**2 + s - 3. Let n(j) = 13*j**2 + 4*j - 13. Let p = 21 + -39. Give p*z(u) + 4*n(u).
-2*u**2 - 2*u + 2
Let f(n) = -5*n - 7. Let o(b) = -1. Let r(t) = -f(t) + 4*o(t). Let g(d) = -6*d - 4. Let m = -4 - -8. Give m*g(l) + 5*r(l).
l - 1
Let m(q) = -q. Let n(t) = -5*t + 1. Let s(w) = -w**2 + 5*w + 2. Let d be s(6). Let a(l) = 5 + 4*l - 3 + l + l**2. Let r be a(d). What is r*n(g) + 9*m(g)?
g - 2
Let a(c) = -4 - 3*c**3 + 5*c - 4*c**3 - 1 + 6*c**3. Let q(r) = -3*r. Let f be q(-1). Let b(m) = f - m + 2 + 1 - 5. Calculate -2*a(n) - 10*b(n).
2*n**3
Let o(n) = 8*n**2 - 16. Let d(p) = -1. Give -16*d(b) + o(b