f**2 - f + 2
Let d(h) = -533016*h**3 + 4711*h**2 - 9422. Let z(t) = 679*t**3 - 6*t**2 + 12. Give -6*d(f) - 4711*z(f).
-673*f**3
Let j(t) = -7*t**2 - 7*t - 9. Let x(f) = 4*f**2 - f - 3. Let u(i) = i**2 - i - 2. Let w(c) = -5*u(c) + 2*x(c). Give 4*j(k) + 9*w(k).
-k**2 - k
Let a(r) = -5*r + 9. Let b(h) = h - 1. Suppose -k + 8 = -9*k. What is k*a(p) - 6*b(p)?
-p - 3
Suppose 0 = 3*p - 28*p + 125. Let n(k) = -3*k + 2. Let m(o) = 6*o - 4. Give p*n(s) + 2*m(s).
-3*s + 2
Let b(c) = c**3 - 2*c**2. Let m = 287 + -285. Let x(o) = -o**3 + o**2. Give m*x(w) + b(w).
-w**3
Let w(g) = -g**2 + g + 1. Let y(d) be the second derivative of -1/20*d**5 + 1/2*d**3 + 0 + 1/2*d**2 - 1/4*d**4 + 14*d. Give 3*w(u) - y(u).
u**3 + 2
Let q(v) = 14*v**3 - 7*v**2 - 7*v + 7. Suppose -12 = -455*b + 458*b. Let d(k) = 5*k**3 - 2*k**2 - 2*k + 2. What is b*q(z) + 14*d(z)?
14*z**3
Let o = -15 + 172. Let s(h) = -o*h + 5 + 4 + 158*h - 5. Let j(m) = -15*m - 55. Give 4*j(p) + 55*s(p).
-5*p
Let x(w) = -1169*w**2 - 9*w - 9. Let b(c) = 1169*c**2 + 6*c + 6. What is -3*b(f) - 2*x(f)?
-1169*f**2
Let q(x) = -3*x + 48. Let m(u) = -2*u + 47. What is 4*m(p) - 3*q(p)?
p + 44
Let s = -48 - -46. Let p(q) = -q - 1. Let l(z) = 9 + 7*z - 2*z - 4 - 4. What is s*p(h) - l(h)?
-3*h + 1
Let m(h) = -45*h + 7. Let d(w) = -94*w + 14. Calculate -2*d(k) + 5*m(k).
-37*k + 7
Let y = 33 + -31. Let r(x) = -5*x - 5. Let l(h) = -4*h - 5. Calculate y*r(k) - 3*l(k).
2*k + 5
Let x(r) = 9*r**3 - 30*r**2 + 3*r - 5. Let i(m) = 5*m**3 - 15*m**2 + 2*m - 3. Calculate -5*i(d) + 3*x(d).
2*d**3 - 15*d**2 - d
Let g(u) = -2*u**3 - 8*u**2 + 8*u - 5. Let q(d) = d**3 - d**2 + d - 1. Let a(s) = g(s) - 5*q(s). Let p(f) = -14*f**3 - 5*f**2 + 5*f. Determine 5*a(n) - 3*p(n).
7*n**3
Let u(k) = -97*k + 22. Let i(o) = 32*o - 7. Calculate -11*i(b) - 4*u(b).
36*b - 11
Let n(f) = -f. Let m(a) = 41*a + 2. What is m(o) - 6*n(o)?
47*o + 2
Let f = 335 + -331. Let r(t) = 5*t**2 + 7*t - 10. Let i(v) = -3*v**2 - 4*v + 5. Determine f*r(x) + 7*i(x).
-x**2 - 5
Let b(d) = -2*d**2 + 1. Let l(f) = 3222*f**2 - 1790. Give -1790*b(h) - l(h).
358*h**2
Let c = 708 + -705. Let v(s) = -5*s - 5. Let h be (-2 - -3) + -21 + 4. Let u(o) be the second derivative of -13*o**3/3 - 13*o**2 + o. Calculate c*u(z) + h*v(z).
2*z + 2
Let d(m) = 14*m + 6. Let l(y) = -14*y - 8. Let p(c) = -4*d(c) - 3*l(c). Let q(n) = -n. Calculate p(b) - 8*q(b).
-6*b
Suppose -5*p = -2*q + 61, -3*p = p - 4*q + 56. Let n(h) = h**2 - 9*h + 8. Let j be n(7). Let a(o) = 4*o - 7. Let r(w) = -7*w + 13. What is j*r(i) + p*a(i)?
-2*i - 1
Let k(r) = -180*r + 8. Let b(y) = 2*y - 2. Give -4*b(d) - k(d).
172*d
Let s(w) = -580*w**3 - 11. Let x(h) = 579*h**3 + 13. Calculate 7*s(z) + 6*x(z).
-586*z**3 + 1
Let v(k) = -2*k**2 + 343*k - 15. Let w(c) = -c**2 + 172*c - 7. Calculate 6*v(q) - 13*w(q).
q**2 - 178*q + 1
Let w(i) = 4*i**3 + 12*i**2 - 6*i + 25. Let t(a) = -4*a**3 - 10*a**2 + 5*a - 22. Calculate -6*t(q) - 5*w(q).
4*q**3 + 7
Let o(u) = -14*u**3 + 5*u**2 + 9. Let i(f) = -30*f**3 + 11*f**2 + 19. Calculate 6*i(j) - 13*o(j).
2*j**3 + j**2 - 3
Let n(r) = -r**3 + 17*r**2 + 19*r + 1. Let h be n(18). Let t(c) = -5*c**2 + 3 - 13*c - 10*c + h*c. Let s(u) = 3*u**2 + 2*u - 2. Give 7*s(x) + 4*t(x).
x**2 - 2*x - 2
Let d(j) be the first derivative of -5*j**3/3 + j**2 + 102. Let t(q) = 189*q**2 - 77*q. What is 77*d(s) + 2*t(s)?
-7*s**2
Suppose 0*t - 6 = 2*t. Let x(l) = -3*l**3 - 5*l + 5. Let w(r) = -13*r**3 - 3 + 14*r**3 + 3*r + 4 - 4 + 0. Calculate t*x(u) - 5*w(u).
4*u**3
Let u(f) = -4*f - 34. Let l(w) = 3*w + 35. Determine -5*l(s) - 4*u(s).
s - 39
Let m = 1909 - 1906. Let u(w) = 5*w**2 - 2*w**2 - 2*w + 0*w. Let i(g) = -4*g**2 + 3*g. Calculate m*u(j) + 2*i(j).
j**2
Let m(h) = 53*h + 1166. Let b(w) = -2. Determine 2332*b(l) + 4*m(l).
212*l
Let o(m) = 3*m - 4 - 2*m + 5. Let v(r) = 643*r + 16. Let t(c) = -117*c - 3. Let k(a) = -11*t(a) - 2*v(a). Determine -5*k(q) + 6*o(q).
q + 1
Let u(z) = -18073*z**3 + 187*z - 187. Let k(o) = -583*o**3 + 6*o - 6. Determine 187*k(n) - 6*u(n).
-583*n**3
Let z(c) = -6*c - 7. Let f(t) = -t - 1. Let i = 2 + -44. Let g = i + 37. Determine g*f(j) + z(j).
-j - 2
Let c(l) = -1. Let q = 19 - 16. Suppose q*j - 12 = -6. Let u(a) be the third derivative of a**4/24 - 2*a**2. Determine j*u(z) - 2*c(z).
2*z + 2
Let r(p) = 2*p**2 - 2 + 0 + 4*p**3 - p**3 - 2*p. Let k(w) be the first derivative of 3*w**4/2 + 4*w**3/3 - 5*w**2/2 - 5*w - 783. Calculate -2*k(u) + 5*r(u).
3*u**3 + 2*u**2
Let x(w) = 4*w + 8. Let d(f) = 3*f + 7. Suppose -2*c - 51 - 7 = 0. Let k = 34 + c. What is k*x(m) - 6*d(m)?
2*m - 2
Let h(l) = -4*l**3 + 3*l - 2. Let a(j) = 9*j**3 + j**2 - 7*j + 5. What is -3*a(t) - 7*h(t)?
t**3 - 3*t**2 - 1
Let p(q) = 2*q - 4. Let t = -61 + 90. Suppose a + t = 3*u - 5, 4*u - 77 = -5*a. Let j = -8 + u. Let m(o) = -1. What is j*m(n) - p(n)?
-2*n - 1
Let w(o) = o + 7. Suppose 14*h - 5 = 13*h. Let p(l) = -3*l + h - 2*l + 6*l. What is -7*p(y) + 5*w(y)?
-2*y
Let w(o) = -14*o**3 - 17*o**2 + 11*o - 204. Let p(j) = -5*j**3 - 6*j**2 + 4*j - 68. What is -17*p(c) + 6*w(c)?
c**3 - 2*c - 68
Let n(y) = 51*y - 2. Let w(l) = 17*l - 1. Determine 2*n(o) - 7*w(o).
-17*o + 3
Let s(d) = 2*d**2. Let m(h) = 113*h**2 + 2*h + 2. What is m(q) + 5*s(q)?
123*q**2 + 2*q + 2
Let s(f) = -400*f**3 - 2*f**2 - 4*f + 2. Let z(o) = 1200*o**3 + 7*o**2 + 14*o - 7. What is -7*s(b) - 2*z(b)?
400*b**3
Let a(p) be the third derivative of p**6/120 + p**4/24 + p**3/3 + 247*p**2. Let b(o) = 3*o**3 + 4*o + 9. Calculate 9*a(y) - 2*b(y).
3*y**3 + y
Let u(j) = 3*j + 2. Suppose -71 - 25 = 24*a. Let s(w) = 4*w + 2. What is a*s(r) + 5*u(r)?
-r + 2
Let t(p) = 8*p**3 + 6. Let z be (-3 - -2)*-4 + (-16)/(-8). Let g(h) = 7*h**3 + 5. Let m(b) = -2*b**2 - 3*b + 4. Let d be m(-3). Calculate d*t(y) + z*g(y).
2*y**3
Let t(h) = 5*h**2 + 1. Let p(v) = v**2 - v + 1. Let l(z) = -10*z**2 + 12 + 3*z - 9 - 10 + 3*z. Let i(k) = -l(k) - 6*p(k). Determine 7*i(g) - 6*t(g).
-2*g**2 + 1
Suppose 4*m - 2*m - 2 = 0. Let a(y) be the first derivative of -y**2/2 - 1. Let w(v) = -2*v**2 - v - 2. Determine m*w(b) - a(b).
-2*b**2 - 2
Let v(o) = -13*o**2 - 21*o + 791. Let z(b) = -4*b**2 - 6*b + 264. What is 2*v(p) - 7*z(p)?
2*p**2 - 266
Let w(n) be the second derivative of 9/2*n**2 - 1/5*n**5 - 6*n + 0 + 7/6*n**3 - 5/12*n**4. Let s(y) = -2*y**3 - 2*y**2 + 3*y + 4. Give 5*s(t) - 2*w(t).
-2*t**3 + t + 2
Let n(v) = v**2 - 2*v - 1. Let i(a) = -16*a**2 - 3*a - 9. Determine -i(f) + 2*n(f).
18*f**2 - f + 7
Let y(p) = 5*p + 68. Let v(b) = -4*b - 66. Determine 4*v(s) + 3*y(s).
-s - 60
Let s(m) = -20*m**2 - 17*m - 3. Let k(u) = -7*u**2 - 6*u - 1. Let r(d) = -17*k(d) + 6*s(d). Let l(v) = -7*v**2 - v - 5. Give l(i) - 6*r(i).
-i**2 - i + 1
Let z(l) = 1. Let i(m) = -4*m**2 + m**2 + 27 - 27. Determine -i(h) + 2*z(h).
3*h**2 + 2
Let h be 2*(4 + 6/(-4)). Let u(n) = -42*n**3 + 12*n**2 + 12*n - 12. Let r(z) = 17*z**3 - 5*z**2 - 5*z + 5. What is h*u(p) + 12*r(p)?
-6*p**3
Let q(f) = 4*f**2 + 2*f - 5. Let a(t) = t**2. Calculate 6*a(k) - q(k).
2*k**2 - 2*k + 5
Let a(c) = 5*c - 3. Let z(r) = -r + 1. Give a(b) - 2*z(b).
7*b - 5
Let k(z) = 4*z**3 - 5*z + 5. Let y(a) = -a**3 - a**2 + a - 1. Calculate -k(x) - 5*y(x).
x**3 + 5*x**2
Let n(k) = -k**3 - 3*k - 8. Let p(i) = 10*i**3 + 25*i + 70. Determine -35*n(c) - 4*p(c).
-5*c**3 + 5*c
Let w(y) = -6*y - 5. Let t(d) = -12*d - 2. Let s(m) = 11*m + 4. Let k(r) = -3*s(r) - 2*t(r). Calculate 5*k(a) - 8*w(a).
3*a
Suppose 0 = -3*q - 0*q - 5*u + 19, -4*q + u - 13 = 0. Let k(d) = -d + 2. Let r(a) be the second derivative of -a**2 + a - 3. Determine q*k(v) - 3*r(v).
2*v + 2
Let s(g) = -g**3 + g - 1. Let j(l) = 6*l**3 - 3*l + 6. Suppose -3*p - 20 = 2*u - 5*p, -5*p = -4*u - 45. What is u*s(o) - j(o)?
-o**3 - 2*o - 1
Let t(o) be the second derivative of -4*o**4/3 - o**3 - 3*o**2 - 367*o. Let v(s) = -175*s**2 - 65*s - 65. What is -65*t(a) + 6*v(a)?
-10*a**2
Let k(m) = 11*m - 17. Let t(f) = 3*f - 5. Let r(l) = -2*k(l) + 7*t(l). Let i(o) = -o**2 - 4*o - 7. Calculate -i(z) + 5*r(z).
z**2 - z + 2
Let x(r) = -205*r - 2. Let w(b) = -46125*b - 451. Give -2*w(z) + 451*x(z).
-205*z
Let c(y) = -7*y**3 - 6*y**2 + y + 7. Let o(s) = -9*s**3 - 5*s**2 + s + 6. What is 5*c(g) - 6*o(g)?
19*g**3 - g - 1
Let b(g) = 92*g**3 + 2*g**2 - 2*g + 4. Let k(m) = 4785*m**3 + 105*m**2 - 105*m + 210. Give -210*b(h) + 4