12. Let o(g) = -g**2 - g - 1. Give -d(x) + 12*o(x).
6*x**2
Let u(y) = 3*y**2 + 2. Let i(c) = 16*c**2 + 9. Determine 2*i(r) - 11*u(r).
-r**2 - 4
Let y(k) = 9*k**2 + 5*k - 5. Let h(o) = -o**3 - 6*o**2 - 2*o - 14. Let t be h(-6). Let v(p) = -1 - 2*p - 4*p**2 + 0*p + 3 + 0*p. Determine t*y(n) - 5*v(n).
2*n**2
Let l(h) = -2*h - 2. Let q(u) be the second derivative of -u**4/12 - u**3/2 - 3*u**2/2 + 3*u. Let j(f) = -f + 5. Let s be j(3). Give s*q(c) - 3*l(c).
-2*c**2
Let c(a) = a + 11. Let p be c(-5). Let l(h) = h**2 + 6*h - 9. Let j(k) = -8 + 3*k**2 + 5*k + 0*k**2 - 2*k**2. Give p*j(o) - 5*l(o).
o**2 - 3
Let g be (-2 - 0) + (-1)/1. Let u(z) be the second derivative of z**3/6 + 7*z**2/2 - 5*z. Let c be 2 - -2 - (-2 + 1). Let p(n) = n + 4. What is c*p(a) + g*u(a)?
2*a - 1
Let u(p) = -p**2 - 5*p + 10. Let l be u(-7). Let v(d) = -2. Let a(n) = n + 3. What is l*v(o) - 2*a(o)?
-2*o + 2
Let l(d) be the first derivative of d**3/3 - d**2/2 - d + 3. Let p(g) be the third derivative of g**5/20 - g**4/6 - 5*g**3/6 + 3*g**2. What is -4*l(i) + p(i)?
-i**2 - 1
Let v(r) = 4*r - 1. Let b(d) = d - 1. Calculate -4*b(t) + 4*v(t).
12*t
Suppose 13 = -5*h + 33. Let a = h + -5. Let p = a - 1. Let u(o) = 17*o - 9. Let v(i) = -4*i + 2. Calculate p*u(c) - 9*v(c).
2*c
Let t(b) be the second derivative of -b**2/2 - b. Suppose -5*x + 2*f = 0, 2*x = 6*x - 4*f + 12. Let h(n) = -2*n. Calculate x*t(i) - h(i).
2*i - 2
Let j(r) = -14*r**2 + 8*r - 2. Let f(a) = -9*a**2 + 5*a - 1. Suppose -7*m - m - 40 = 0. Determine m*j(o) + 8*f(o).
-2*o**2 + 2
Let b(t) = -69*t**2 + 2*t - 2. Let v(y) = -2414*y**2 + 71*y - 71. Calculate -71*b(p) + 2*v(p).
71*p**2
Let q(c) = -c**3 - c**2 - c + 1. Suppose -4*z = -2*i + 6*i + 8, -4*z + i - 3 = 0. Let w(y) = 4*y**3 + 6*y**2 + 7*y - 5. Determine z*w(l) - 6*q(l).
2*l**3 - l - 1
Let p(x) = -6*x - 6. Let z(v) = -v - 1. Let b(t) = -2*p(t) + 4*z(t). Let q(f) = -f - 1. Determine b(k) + 6*q(k).
2*k + 2
Let a(n) = 8*n**2 - n. Suppose 0 = -4*r, -5*d = -5*r - 0*r - 30. Let l(x) be the third derivative of -x**5/60 + x**2. Give d*l(j) + a(j).
2*j**2 - j
Let u(l) = l**2 + 4*l. Let w(t) = t**2 + 3*t. Let z(q) = 9*q - 2*q - 3*q**2 + 10*q**2 + q**3 + 8. Let p be z(-6). Determine p*u(y) - 3*w(y).
-y**2 - y
Let k(w) = 3*w - 2. Let i(m) = 5*m - 11. Let a(p) = 3*p - 5. Let u be 18/8 + (-2)/8. Let b(f) = u*i(f) - 5*a(f). Determine -4*b(d) - 7*k(d).
-d + 2
Let w(t) = -24*t**3 + 2*t - 2. Let p(n) = 25*n**3 - 3*n + 3. Determine -2*p(x) - 3*w(x).
22*x**3
Let v(a) = a - 2. Let s(q) = 15*q - 33. Suppose 0 = -i - 12 + 10. What is i*s(w) + 33*v(w)?
3*w
Suppose 3*g - 16 = 5. Let q(d) = -4*d**3 - 3*d**2 - 4*d + 7. Let f(h) = 3*h**3 + 2*h**2 + 3*h - 5. What is g*f(o) + 5*q(o)?
o**3 - o**2 + o
Let h(g) = -22*g**2 - 12*g. Let j be -5*3/5*6. Let y be -18*(-4)/j*3. Let c(a) be the first derivative of 3*a**3 + 5*a**2/2 + 2. Calculate y*c(t) - 5*h(t).
2*t**2
Let l(r) = r. Let d(n) = -9*n. Suppose -t - 3*i = 42, 0 = 4*t - 6*t + 5*i - 51. Give t*l(a) - 4*d(a).
3*a
Let i(n) = -1. Let c(o) = o + 1. Let k(a) be the second derivative of -2*a**3/3 - 9*a**2/2 + 4*a. Let j(w) = 5*c(w) + k(w). What is -4*i(u) + j(u)?
u
Let b(v) = -5*v**2 + 2*v + 3. Let y(m) = 2*m**2 + m - 2. Let r be y(2). Let i = -7 + r. Let l(k) = -k**2 + 1. Give i*b(a) - 3*l(a).
-2*a**2 + 2*a
Let x(c) = 3*c. Let i(t) = -3*t - 1. Calculate -3*i(v) - 4*x(v).
-3*v + 3
Let i(b) = -4*b**2 + b + 1. Suppose 0 = -2*v - 10, -g + 4*v = v - 10. Let p(q) = 7*q**2 - 2*q - 2. Give g*i(z) - 3*p(z).
-z**2 + z + 1
Let n(i) = -10*i**2 + 2*i + 6. Let c(l) = -29*l**2 + 6*l + 17. Determine 6*c(u) - 17*n(u).
-4*u**2 + 2*u
Let o(v) be the third derivative of -v**6/120 + v**4/12 - v**2. Let a(x) = -4*x**3 + 9*x. Let u be 0 + (-1)/(3/(-6)). Give u*a(l) - 9*o(l).
l**3
Suppose 8 = 3*g + 2*o, 3*g = 2*o - 0*o + 16. Let i(k) = 2. Let z(d) = d + 2. Calculate g*i(m) - 3*z(m).
-3*m + 2
Let q(c) = 4*c. Let v be ((-12)/(-24))/((-3)/54). Let w be 0/(-2) + (-4)/(-2). Let f(t) = 2*t - 4*t + 3*t. Calculate v*f(y) + w*q(y).
-y
Let r(p) = -2*p**2 + p. Let y(a) be the third derivative of a**5/20 - a**4/24 + a**2. Calculate -5*r(z) - 3*y(z).
z**2 - 2*z
Let i(u) = -u - 1. Let l(p) = -4*p - 8. Give 10*i(y) - 2*l(y).
-2*y + 6
Let c(p) = -p**3 - 4*p**2 - 5. Suppose 5*h - 47 = 3*t + t, 3*t - 6 = 0. Let g(s) = -s**3 + h + 3*s**3 + 16*s**2 - 7*s**2. What is -7*c(k) - 3*g(k)?
k**3 + k**2 + 2
Let y(t) = -t - 1. Let z = 6 + -4. Let i be 20/6 - z/(-3). Suppose -i*l = -5*l + 2. Let n(m) = -2*m - 1. Calculate l*n(o) - 3*y(o).
-o + 1
Let v(t) = -116*t**3 - 28*t**2 - 28*t + 28. Let j(q) = 21*q**3 + 5*q**2 + 5*q - 5. What is -28*j(y) - 5*v(y)?
-8*y**3
Let a = -47 + 48. Let m(y) = -1. Let u(t) = 2*t - 4. Give a*u(b) - 5*m(b).
2*b + 1
Let w(o) = -o**2 + 48*o + 8. Let l(c) = -16*c - 3. What is 8*l(z) + 3*w(z)?
-3*z**2 + 16*z
Let t(g) = g**2 - 6*g - 2. Let w(m) = -m**2 + 7*m + 2. Suppose 5*a = -5*r - 25, 4*a - 3 = 5. Calculate r*t(k) - 6*w(k).
-k**2 + 2
Let q(t) = t + 3. Let n be q(-4). Let x(y) = 2*y + 2. Let s(c) = c + 1. Determine n*x(w) + 4*s(w).
2*w + 2
Let y(o) = -2 + o**2 - 2*o**2 + o + 4 - 3 + 7*o**3. Let j be y(1). Let i(s) = 2. Let a(n) = 1. Let p(g) = a(g) - i(g). Let z(u) = u + 7. Give j*p(f) + z(f).
f + 1
Let v(y) = -y**2 + 2*y. Let w(u) = -3*u**2 + 4*u. What is 7*v(g) - 4*w(g)?
5*g**2 - 2*g
Let s(h) = -7*h**3 - 6*h**2 - 7*h + 6. Let i(g) = 6*g**3 + 5*g**2 + 6*g - 5. Determine 6*i(d) + 5*s(d).
d**3 + d
Let h = 15 - 10. Let d(x) = -x**2 - 1. Let r(a) = -4*a**2 - 4*a + a + 2*a - 2 - 3. Determine h*d(l) - r(l).
-l**2 + l
Let i(s) = 10*s**2 - 11*s + 14. Let z(r) = 3*r**2 - 4*r + 5. Determine -4*i(k) + 11*z(k).
-7*k**2 - 1
Let c(v) = 4*v**2 - 9*v + 13. Let t(a) = -2*a**2 + 4*a - 6. Suppose -f = -5*f + 4*u + 32, 3*f + 8 = -5*u. Determine f*c(r) + 9*t(r).
-2*r**2 - 2
Let n(y) = 4*y**2 - 8*y + 1. Suppose 0*b - b = 0, -12 = 2*h + 2*b. Let a(t) = -5*t**2 + 9*t - 1. Give h*a(m) - 7*n(m).
2*m**2 + 2*m - 1
Let v(f) = -f**2 + f + 1. Let x(n) = -11*n + 5*n - 2 + 6*n**2 - 3. Determine -4*v(o) - x(o).
-2*o**2 + 2*o + 1
Let v(p) = p + 1. Let k(j) = 4 + 1 + 2 + 1 + 4*j. Give k(r) - 6*v(r).
-2*r + 2
Let p(u) be the first derivative of -5*u**4/4 + 7*u**2/2 - 3*u + 1. Let f be 0/4 + (-5 - (-4)/(-2)). Let r(w) = 3*w**3 - 4*w + 2. Determine f*r(j) - 4*p(j).
-j**3 - 2
Let m(l) = 9*l - 2. Let q(k) = -10*k + 2. What is 3*m(c) + 2*q(c)?
7*c - 2
Let n(w) = -w**2 + 1. Let b(x) = -2*x**2 + 6. Determine 5*b(l) - 30*n(l).
20*l**2
Let b(h) = h**3 - h**2 - 1. Let m(k) = -4*k**3 + 6*k**2 + 3*k + 7. What is -6*b(f) - m(f)?
-2*f**3 - 3*f - 1
Suppose -4*q + 5*x - 5 = -0*x, 3*q + x = 20. Let o(c) = -c**2 - 4*c - 1. Let v(y) = 2*y**2 + 7*y + 2. Let p be (-6)/21 - (-23)/7. What is p*v(z) + q*o(z)?
z**2 + z + 1
Let l(s) = -2*s - 60. Let n(o) = -3*o - 60. Give 5*l(y) - 4*n(y).
2*y - 60
Let v(o) = -o - 4. Let i be v(-5). Let b(k) = 8*k**2 - 6. Let w(x) = -5 + 2 + 3*x**2 - 4*x**2 + 4. What is i*b(f) + 6*w(f)?
2*f**2
Let k = -6 + 4. Let a(n) = n + 2. Let v(i) = -i - 2. What is k*a(p) - 3*v(p)?
p + 2
Let d(x) be the third derivative of -x**4/12 + 2*x**3/3 - 2*x**2. Let f(p) = 1. Give d(z) - 3*f(z).
-2*z + 1
Suppose 0 = -9*y - 25 - 92. Let x(a) = -a**2 + a + 6. Let v(s) = -2*s**2 + 2*s + 13. Give y*x(j) + 6*v(j).
j**2 - j
Let g(a) = a**2 - 3*a + 4. Let i(c) = -3*c**2 + 10*c - 13. Give -7*g(j) - 2*i(j).
-j**2 + j - 2
Let f(b) = -b - 1. Let g(k) = -3*k + 0*k + k + 4*k. Determine -2*f(n) - 2*g(n).
-2*n + 2
Let d(y) = -y**3 + y - 3. Let z(b) = 2*b**3 - 2*b + 7. Let s = 12 + -10. Suppose s - 9 = -i. Calculate i*d(a) + 3*z(a).
-a**3 + a
Let k(o) = 2*o**2 - 4*o - 7. Let c = -23 - -49. Let z = c + -21. Let q(t) = -2*t**2 + 3*t + 6. Determine z*k(s) + 6*q(s).
-2*s**2 - 2*s + 1
Let d(i) = 31*i**2 - 11*i - 11. Let q(h) = 6*h**2 - 2*h - 2. What is -2*d(u) + 11*q(u)?
4*u**2
Let q(t) = 3*t**2 - 4. Let y(g) = 13*g**2 - 17. What is -9*q(p) + 2*y(p)?
-p**2 + 2
Let f(k) = k**2 - 2*k**2 + 2*k**2. Let h(w) be the second derivative of -w**4/12 + w**3/3 - w**2/2 - w. Determine 3*f(u) + h(u).
2*u**2 + 2*u - 1
Let r(j) = -j - 3. Let w(d) = 6*d + 15. Let f(u) = 25*u + 61. Let a(h) = -2*f(h) + 9*w(h). Suppose -14*v = -v + 234. Calculate v*r(y) - 4*a(y).
2*y + 2
Let j(g) = 2*g**2 - g. Suppose -5*d + 3*r + 38 = 2*r, -d = -2*r - 4. Let a(i) = -2*i + 3 - 1 