2*a + 1
Let l(a) be the first derivative of -2*a**3/3 + a**2/2 + 2*a - 1. Let n(u) = u**2 - u - 1. What is l(k) + 3*n(k)?
k**2 - 2*k - 1
Let l(y) = -y**2 - y + 1. Let h(d) = -12*d**2 - 3*d + 3. Give -h(c) + 3*l(c).
9*c**2
Let d(f) = -5*f - 12. Let j(k) = -2*k - 6. Let z(u) = 4*d(u) - 7*j(u). Let t(y) = -5*y - 5. Calculate 4*t(x) - 3*z(x).
-2*x - 2
Let c(g) = -g**3 + g**2 + 1. Let w(i) = -7*i**3 + 4*i**2 - i - 2. What is 4*c(s) - w(s)?
3*s**3 + s + 6
Let t(w) = -2*w - 2. Let p(j) = -j - 1. Calculate -4*p(a) + 3*t(a).
-2*a - 2
Let n(f) = f**2 - 1. Let g(r) be the second derivative of -5*r**4/12 + r**3/6 + 5*r**2/2 + 4*r. What is -g(c) - 3*n(c)?
2*c**2 - c - 2
Let d(o) = -6*o - 5. Let f(t) = 2*t - 2. Let r(g) = 1. Let y(p) = -f(p) - 4*r(p). Let v(s) = -s**3 - 4*s**2 + s + 1. Let i be v(-3). Determine i*y(x) + 4*d(x).
-2*x + 2
Let g = 3 - 6. Let c(x) = 5*x - 21*x**2 + 19*x**2 + 6 + 2. Let k(l) = -l**2 - 3 - l + 2*l**2 - l + 0. Determine g*c(r) - 8*k(r).
-2*r**2 + r
Let a(i) = 2*i - 5. Let u(q) = -q + 4. Suppose y + 4*y = -15. Let t = y - 0. Determine t*u(s) - 2*a(s).
-s - 2
Let p(g) = -2*g**3 - g. Let f(z) = -13*z**3 - 42*z**2 - 6*z. Calculate f(v) - 6*p(v).
-v**3 - 42*v**2
Let t(u) = u - 2. Let x(s) be the third derivative of -s**4/12 + s**3/2 + s**2. Suppose -7*i = -10*i + 9. Give i*x(f) + 5*t(f).
-f - 1
Let m(q) = q - 1. Let j(a) = 15*a - 8. Let w(z) = 7 + z + 0 - 8*z - 3. Let r(p) = 2*j(p) + 5*w(p). Determine -6*m(o) - r(o).
-o + 2
Let k(z) = 32*z**3 + 4*z**2 + 4*z + 5. Let q(m) = -64*m**3 - 7*m**2 - 7*m - 9. Give -7*k(n) - 4*q(n).
32*n**3 + 1
Let w(a) = -16*a + 11. Let d(r) = -2. Let o(h) = -98 - h + 98 + 2*h. Let y(p) = d(p) + 3*o(p). Let c = -17 + 28. Give c*y(j) + 2*w(j).
j
Let t(z) = 2*z**3 + 4*z**2 + 0*z**2 + z**3 - 4. Suppose i + 2 = 6. Let h(b) = 2*b**3 + 3*b**2 - 3. What is i*h(x) - 3*t(x)?
-x**3
Let z(m) = -7*m**3 - 11*m**2 - 11*m - 11. Let a(c) = 6*c - 4*c**2 + c**3 - 2*c**3 + 10*c**2 + 5*c**3 + 6. Give 11*a(v) + 6*z(v).
2*v**3
Suppose 3*n = -2*n - 25. Let a = -1 - n. Let y(h) = -2*h**3 - h - 2. Let g(s) = 3*s**3 + s + 2. Give a*y(w) + 3*g(w).
w**3 - w - 2
Let q(m) = 551*m - 95. Let h(c) = -23*c + 4. Determine 95*h(z) + 4*q(z).
19*z
Let i(a) = a**2 - 2. Let q(g) = -3*g**2 - g + 7. Let f(l) = l**2 + 3*l - 3. Let c be f(-5). Give c*i(o) + 2*q(o).
o**2 - 2*o
Let d(j) = -230*j**3 - 11*j**2 + 11*j + 6. Let k(g) = 46*g**3 + 2*g**2 - 2*g - 1. Give 2*d(l) + 11*k(l).
46*l**3 + 1
Let w(b) = -b**3 - 2*b**2 + 2*b. Suppose 2*z + 3*m + 16 = 0, 4*z - 4*m + 0*m + 12 = 0. Let d(r) = 2*r**3 + 4*r**2 - 5*r + 1. Give z*w(v) - 2*d(v).
v**3 + 2*v**2 - 2
Let o(b) = 21*b**2 + 5*b + 23*b**2 - 1 - 51*b**2. Suppose -25 = 5*v + 40. Let a(c) = 15*c**2 - 11*c + 2. Give v*o(p) - 6*a(p).
p**2 + p + 1
Let c(h) = -2*h + 5. Suppose a = -2*a + 9. Let b(w) = 4 - 6 + a. What is -6*b(f) + c(f)?
-2*f - 1
Let r(y) = 4*y**2 + 12. Let a(f) = -1. What is 12*a(u) + r(u)?
4*u**2
Suppose -4*i + 5*i - 9 = -f, 0 = 2*i + 5*f - 33. Let o(g) be the first derivative of -21*g**2/2 + 80. Let k(j) = 3*j. Give i*o(a) + 27*k(a).
-3*a
Let x(b) = -4*b**2 + 7*b - 32. Let n(l) = 3*l**2 - 6*l + 31. Calculate 5*n(y) + 4*x(y).
-y**2 - 2*y + 27
Let s(b) be the second derivative of 3*b**3/2 + b**2 + 8*b. Let z(w) = 8*w + 2. Determine -6*s(t) + 7*z(t).
2*t + 2
Let i = 10 - 5. Let j(g) = 13*g**2 - 7*g + 7. Let o(m) = -9*m**2 + 5*m - 5. Let y = -15 - -22. Determine i*j(h) + y*o(h).
2*h**2
Let v = 0 - -6. Let b(h) = -h**3 + v*h**2 - 4*h + 3*h + 2*h + 4*h + 5. Let l(c) = c**3 - 7*c**2 - 6*c - 6. Calculate 7*b(n) + 6*l(n).
-n**3 - n - 1
Let k(p) = -p**2 - 3*p - 3. Suppose -6*c + 5*c = -3. Let h(q) = -q**2 - q - 1. Calculate c*h(w) - k(w).
-2*w**2
Let z(u) = 4*u**3 + 4*u**2 - u - 2. Let l = -6 - 1. Let t(q) = 13*q**3 + 13*q**2 - 4*q - 7. Determine l*z(d) + 2*t(d).
-2*d**3 - 2*d**2 - d
Let z(k) = -k - 2. Let l(y) = y**2 + 7*y - 11. Let m be l(-8). Let w(x) = -2*x - 5. Determine m*w(q) + 8*z(q).
-2*q - 1
Let n(i) = 4*i - 17. Let c(p) = p - 4. Determine 18*c(r) - 4*n(r).
2*r - 4
Let i(t) = 4*t**2 - 8. Let b(r) = -3*r**2 + 5. Determine 8*b(c) + 5*i(c).
-4*c**2
Suppose -3*m + 1 + 14 = 0. Let a(x) = -9 - 8*x**3 - 2*x**2 - 5*x + 8*x**3 + x**3. Let k(y) = y**3 - 3*y**2 - 7*y - 13. What is m*k(p) - 7*a(p)?
-2*p**3 - p**2 - 2
Let d(m) = m**2 - 9*m + 10. Let q be d(7). Let v(i) be the first derivative of i**2 - 2*i + 1. Let g(r) = 3*r - 3. What is q*v(n) + 3*g(n)?
n - 1
Let w(j) = 5*j**3 + 2*j**2. Suppose 6*r + 12 = 2*r. Let a(y) = 6*y**3 + 3*y**2. Determine r*w(c) + 2*a(c).
-3*c**3
Let g(c) = 1. Let s(z) = 10*z**3 - 8. Determine -24*g(w) - 3*s(w).
-30*w**3
Let j(z) = 25*z - 17. Let y(o) = -6*o + 4. Suppose -16 = 3*c - 10. Give c*j(n) - 9*y(n).
4*n - 2
Let z(c) be the first derivative of -3*c**4/2 - 16*c**3/3 - 16*c + 13. Let l(f) = -f**3 - 3*f**2 - 3. Determine -11*l(k) + 2*z(k).
-k**3 + k**2 + 1
Let c(m) = 4*m**3 - 5*m**2 + 55. Let j(s) = 2*s**3 - 2*s**2 + 28. Give -2*c(u) + 5*j(u).
2*u**3 + 30
Suppose 10*i - 16 = 24. Let j(b) = 2*b**2 - 4. Let m(k) = 3*k**2 - 5. Determine i*j(r) - 3*m(r).
-r**2 - 1
Let s(o) = -6*o + 6. Let u = -6 + 8. Let g(y) = 2 - u*y + y - 1. Suppose -4 = i - 0. Give i*g(k) + s(k).
-2*k + 2
Let f(w) = -w**2 + w - 5. Let l(m) = 17 - 6 + 2*m**2 + 0*m - 2*m. What is -13*f(s) - 6*l(s)?
s**2 - s - 1
Let v(h) = -h + 1. Let p(n) = -38*n**2 - 6*n + 6. Give 2*p(l) - 12*v(l).
-76*l**2
Let q(t) = 364*t**3 + 32*t**2 + 32*t. Let f(n) = 33*n**3 + 3*n**2 + 3*n. Give 32*f(l) - 3*q(l).
-36*l**3
Let b(s) = -2*s + 4. Let f be b(4). Let v(o) = o**3 - 4*o**2 + 4*o. Let k(c) = 3*c**3 - 11*c**2 + 11*c. Let a = 71 + -60. Calculate a*v(u) + f*k(u).
-u**3
Let p(i) = -7*i + 1. Let y(z) = 15*z - 3. Calculate -5*p(n) - 2*y(n).
5*n + 1
Let v(y) = -5*y**3 + 4*y - 2. Let o(u) = -6*u**3 - u**2 + 5*u - 2. Give -4*o(k) + 5*v(k).
-k**3 + 4*k**2 - 2
Let u(z) be the third derivative of 3*z**5/5 + 2*z**4/3 - 8*z**3/3 + 2*z**2 + 11. Let w(p) = -7*p**2 - 3*p + 3. Calculate -3*u(l) - 16*w(l).
4*l**2
Let t(p) = -p**2 + p. Let s = 9 + -4. Suppose -3*w = -2*b + s, 0 = 5*b + 2*w + 32 + 3. Let u(d) = -6*d**2 + 5*d. Give b*t(x) + u(x).
-x**2
Let z(d) = -6*d**3 - 5*d**2 + 7. Let n(y) = y**2 - 1. Determine -4*n(b) - z(b).
6*b**3 + b**2 - 3
Let r(j) = -4*j**2 - 6*j. Let p(k) = -4*k**2 - 6*k. What is 5*p(c) - 6*r(c)?
4*c**2 + 6*c
Let t(p) = -1. Let v(s) = -3*s**2 - 2*s - 3. Determine -3*t(j) + v(j).
-3*j**2 - 2*j
Let o(k) = -k**3 - k**2 - 1. Let n(u) = -u**2 - 1. Determine -3*n(m) + 3*o(m).
-3*m**3
Let y(z) = 10*z + 17. Let q be y(-3). Let m(d) = 9*d**2 + 6*d - 17. Let x(u) = -4*u**2 - 3*u + 8. Give q*x(t) - 6*m(t).
-2*t**2 + 3*t - 2
Let f(q) = -4*q + 1. Let p(u) = 1. Let w(a) = f(a) + 6*p(a). Suppose 6*z = 4*z + 6. Let n(x) = 2*x - 3. Give z*w(i) + 7*n(i).
2*i
Let p(c) = -3*c**2 - 5*c - 3. Let w(d) = d**2 + d. Give -p(q) - 4*w(q).
-q**2 + q + 3
Let d(g) = -g**3 + g**2 + g. Let u(z) = -9*z**3 + 8*z**2 + 9*z + 2. What is -6*d(j) + u(j)?
-3*j**3 + 2*j**2 + 3*j + 2
Let l(f) = f**3 + 4*f**2 + 4*f. Let z(t) = -t**2 - t. What is -l(s) - 4*z(s)?
-s**3
Let p(d) = 3 + 4*d**2 + 0*d - 5*d**2 + d. Let q be p(0). Let u(v) = -v**2. Let j(c) = -c**3 + 5*c**2 + 1. Calculate q*u(k) + j(k).
-k**3 + 2*k**2 + 1
Let m(f) = -3*f**2 + 4*f. Let j(c) = 3*c**2 - 3*c. Give -3*j(d) - 2*m(d).
-3*d**2 + d
Let t(f) = 28*f - 20. Let h(a) = -4*a + 5. Let j(o) = -4*o + 6. Let k(r) = -3*h(r) + 2*j(r). Give 20*k(y) - 3*t(y).
-4*y
Let c(h) = -2*h + 45. Let p(f) = 2*f - 44. Calculate 7*c(s) + 6*p(s).
-2*s + 51
Let l(u) = 20*u + 14. Let d(s) = -20*s - 14. Let k(g) = 3*d(g) + 4*l(g). Let x(b) = 7*b + 5. Give 6*k(i) - 17*x(i).
i - 1
Let w(z) = -19 + 4*z + 13*z - 20 + 48. Let h(c) = 6*c + 3. Let p(r) = 5*r**3 + r**2. Let v be p(-1). Give v*w(j) + 11*h(j).
-2*j - 3
Let b(u) = -14*u + 3. Suppose -7 = y + 2*a, -y = -3*y + 4*a - 54. Let z be (-4)/(-5)*25/10. Let p(q) = 2*q - 1 + z*q + q. Calculate y*p(s) - 6*b(s).
-s - 1
Let k(r) = 5*r**2. Let q(n) = n**3 + n**2. Calculate k(z) - 5*q(z).
-5*z**3
Let a(u) = 19*u + 4. Let p(n) = 9*n + 2. Determine 6*a(j) - 13*p(j).
-3*j - 2
Let q(o) = 15*o**2 - 2*o - 15. Let u(i) = 7*i**2 - i - 7. Let y be 6/8*(8 - 0). Suppose y = -3*j + 4*j. Give j*q(a) - 13*u(a).
-a**2 + a + 1
Let x(n) = -n**2 - 2*n + 4. Let o be x(-3). Let s(v) = -4*v + 0*v + 5*v - o