 k(s) = -s**3 + 4*s**2 - 5*s + 6. Let t(p) be the first derivative of -p**4/2 + 3*p**3 - 11*p**2/2 + 13*p - 554. What is 13*k(x) - 6*t(x)?
-x**3 - 2*x**2 + x
Let d(h) = h**2 - h. Suppose -3*n + 6 = 0, m - 4*n + 18 = -n. Let a(p) = -14*p**2 - 2*p**2 + 1754*p - 1742*p. What is m*d(g) - a(g)?
4*g**2
Let y(b) = -4*b + 14. Suppose -6*d - 3 = 51. Let f = d + 23. Let a(t) = t - 3. Calculate f*a(s) + 3*y(s).
2*s
Let v(p) = p**3 - 7*p**2 - 6*p - 1. Let l(h) = -h**3 + 10*h**2 + 9*h + 2. Give 5*l(x) + 7*v(x).
2*x**3 + x**2 + 3*x + 3
Let k(v) be the third derivative of -1/60*v**5 + 0*v**4 + 0*v + 0 - 1/120*v**6 + 1/6*v**3 - 10*v**2. Let b(f) = -3*f**3 - 2*f**2 + 2. What is 2*b(n) - 4*k(n)?
-2*n**3
Let b be (16 + -14 + 8)*3/6. Let c(s) = -6*s**3 - 5*s**2. Let r(t) = -t**3 - t**2. Give b*r(n) - c(n).
n**3
Let y(k) = -13*k**2 - 7*k + 15. Let z(d) = -37*d**2 - 20*d + 45. Calculate 17*y(m) - 6*z(m).
m**2 + m - 15
Let h(z) = -194*z + 13. Let l(f) = 194*f - 11. Give -5*h(i) - 6*l(i).
-194*i + 1
Let o(x) be the first derivative of -26*x**3/3 + 20*x + 121. Let v(f) = -9*f**2 + 7. Calculate -6*o(u) + 17*v(u).
3*u**2 - 1
Let t(g) be the second derivative of 5*g**3/6 - 5*g**2/2 + 400*g + 2. Let h(f) = 10*f - 9. What is -3*h(k) + 5*t(k)?
-5*k + 2
Let q(c) = c**2 + 12*c + 3. Let n be q(-12). Suppose 3*d = n*o + o - 1, 5 = 5*o. Let s(i) = 3*i + d - i + 5. Let p(r) = 2*r + 7. Determine -4*p(w) + 5*s(w).
2*w + 2
Suppose -2*t - 8 = 0, -7*t = 4*q - 5*t + 24. Let c(i) = 0 - i**3 + 1 + i - 4 + 4. Let o(z) = -3*z**3 + 4*z + 4. Calculate q*c(u) + o(u).
u**3
Let s(m) = -13*m**2 - 13*m + 5. Let f(j) = -3*j**2 - 3*j + 1. Let d be (-3 + 2)/(3/(-9)). Let l = 1 - d. Give l*s(g) + 9*f(g).
-g**2 - g - 1
Let q(a) = 191*a - 8. Let h(d) = -573*d + 22. Give 4*h(c) + 11*q(c).
-191*c
Let o(u) = 8*u**3 + 3*u**2 - 3. Let a = 584 + -576. Let h(m) = 24*m**3 + 8*m**2 - 8. What is a*o(r) - 3*h(r)?
-8*r**3
Let z(f) = -f**3 + 3*f**2 - f. Let x(b) = 4*b**3 - 20*b**2 + 6*b - 9. Let q(s) = x(s) + 6*z(s). Let n(j) = -1. What is 6*n(i) - q(i)?
2*i**3 + 2*i**2 + 3
Let v(u) = 4*u**2 - 4*u - 1. Let i(f) be the first derivative of f**3 - 3*f**2/2 - f - 73. Give -7*i(m) + 5*v(m).
-m**2 + m + 2
Suppose -6*n + 16 = -14*n. Let b(g) = 12*g - 13. Let q(x) = 3*x - 3. Determine n*b(w) + 9*q(w).
3*w - 1
Let y(h) = 4*h**3 - 9*h - 15. Let i(z) = -2*z**3 + 4*z + 7. Let g(v) = -v**2 + 18*v - 38. Let p be g(16). Give p*y(k) - 13*i(k).
2*k**3 + 2*k - 1
Let d(k) = 2*k**3 + 3*k**2 - 3*k. Let l be 3450/36 - (-3)/36*2. Let y = 104 - l. Let z(r) = 5*r**3 + 8*r**2 - 8*r. Give y*d(b) - 3*z(b).
b**3
Let t(u) = -7*u**3 - 2. Let j(b) be the third derivative of 0 + 31/24*b**6 + 0*b + 0*b**5 + 15/2*b**3 + 0*b**4 + 18*b**2. Calculate -2*j(v) - 45*t(v).
5*v**3
Let v(j) = 215*j + 17. Let s(b) = -217*b - 20. Calculate -5*s(h) - 6*v(h).
-205*h - 2
Let j(x) = 18*x + 21. Let f(m) = 5*m - 1. Let u(c) = 2*c. Let i(b) = f(b) - 3*u(b). Determine -42*i(z) - 2*j(z).
6*z
Let w(t) = 5*t. Let h(k) = 11*k. Let z(y) = -4*h(y) + 9*w(y). Let x(o) = -4 - 2 + 8 - 3*o - 1. What is -x(n) - z(n)?
2*n - 1
Let h(z) = -10*z**3 - 7*z**2 - 130. Let k(a) = -3*a**3 - 2*a**2 - 43. Give -4*h(p) + 14*k(p).
-2*p**3 - 82
Let p(x) = -x**3 - 4*x**2 + 6*x + 10. Let r be p(-5). Let a(j) = 2*j**3 - 5*j + 5. Let u(f) = -3*f**3 + 8*f - 8. Determine r*u(y) + 8*a(y).
y**3
Suppose 3*g + 8*s + 17 = 6*s, -2*g = 2*s + 12. Let i(y) = y**3 + y**2 - y. Let z(t) = -7*t**3 - 5*t**2 + 8*t. Calculate g*i(k) - z(k).
2*k**3 - 3*k
Let n(u) = 18*u + 17. Let c(d) = d + 1. Calculate -5*c(k) + n(k).
13*k + 12
Let q(n) = -5*n**2 + 3. Let d(c) = -c**3 - 5*c**2 - 17*c - 8. Let v be d(-4). Let r(j) = -36*j**2 + 22. Give v*q(g) - 6*r(g).
-4*g**2
Let d(b) = -1122*b - 176. Let k(v) = 19*v + 3. Suppose -527 = -3*g + i, -3*g = -2*i - 531 + 5. Determine g*k(w) + 3*d(w).
-22*w
Let v(k) = 6*k**2 + 2*k + 2. Let a(p) = -9*p**2 - 5 - 2*p + 8*p - 11*p - 4*p**2. Give -2*a(b) - 5*v(b).
-4*b**2
Let n(o) = -2*o**3 + 6*o**2 - 6*o. Let j(d) = 3*d**2 - 15*d + 2. Let z(v) = -v**3 - 5*v**2 + 35*v - 5. Let q(w) = 5*j(w) + 2*z(w). Calculate -5*n(a) + 6*q(a).
-2*a**3
Let m(p) = -8 - 10*p + 4 + 8*p. Let h(z) be the second derivative of 7*z**3/6 + 15*z**2/2 - z. Determine 6*h(v) + 22*m(v).
-2*v + 2
Let g(h) = 51*h**3 - 3*h**2 + 3*h - 3. Let p(c) = 152*c**3 - 10*c**2 + 10*c - 10. Give 10*g(s) - 3*p(s).
54*s**3
Let a(k) = 4*k**2 - 8*k - 7. Let r be (8/(-4) + -12)*-1. Suppose 2*g - 5*g + 2*x + 10 = 0, -g = 2*x - r. Let h(b) = -3*b**2 + 7*b + 6. What is g*h(j) + 5*a(j)?
2*j**2 + 2*j + 1
Let f(i) = 24*i**3 - 18*i**2 - 2. Let h(m) = m**3 - 3*m**2 - 1. Determine -f(o) + 6*h(o).
-18*o**3 - 4
Suppose -2*q - 2*q - 176 = 0. Let d be 2/(-4) + (q/(-8))/(-11). Let k(c) = -c - 1. Let b(j) = -6*j - 8. Determine d*b(z) + 10*k(z).
-4*z - 2
Let d(f) = f - 1. Let m(i) = 2*i**2 + 7*i. Determine -d(w) + m(w).
2*w**2 + 6*w + 1
Let s(w) = -5*w**2 + 44*w - 4. Let l(v) = 16*v**2 - 134*v + 14. Give 4*l(b) + 13*s(b).
-b**2 + 36*b + 4
Let a(b) = -2 + 4*b**2 + 27425*b - 27423*b - b**2. Let g(d) = -3*d**2 - 2*d + 2. Calculate 4*a(u) + 3*g(u).
3*u**2 + 2*u - 2
Let r(m) = -9*m + 4. Let u(q) be the first derivative of -2*q + 5/2*q**2 - 8. Let t be (11*4/(-2))/(-2). Calculate t*u(k) + 6*r(k).
k + 2
Let y(g) be the second derivative of -g**4/4 + 5*g**3/6 - 5*g**2/2 + 61*g. Let w(p) = p - 1. Let c(k) = k**2 + k - 1. Let j be c(2). Calculate j*w(q) - y(q).
3*q**2
Let k(v) = -2*v**2 + 260*v + 10. Let a(x) = x**2 - 104*x - 4. What is 12*a(g) + 5*k(g)?
2*g**2 + 52*g + 2
Let j be 480/44 + -2 + 5/55. Let s(w) = 4*w**2 - 3*w + 4. Let n(o) = -17*o**2 + 13*o - 17. Determine j*s(a) + 2*n(a).
2*a**2 - a + 2
Let w(v) = 1 + 1669*v - 1672*v + 1 - 3. Let i(n) = 7*n + 1. Suppose -4*g - 19 = 3*b, -b = -3*b + 4*g - 6. Give b*w(m) - 2*i(m).
m + 3
Let n(z) = -25*z**2 - z - 15. Let y(v) = 57*v**2 + 2*v + 31. What is -9*n(t) - 4*y(t)?
-3*t**2 + t + 11
Let t = 4 - 6. Let r(z) = 5*z + 0*z - 25 + 10*z. Let n(f) = -7*f + 12. Let y(s) = -5*n(s) - 2*r(s). Let c(u) = u - 2. Calculate t*y(l) + 11*c(l).
l - 2
Let t(r) = 8*r - 4. Let b(n) = 8*n - 140. Let c be b(17). Let k(o) = 15*o - 7. Calculate c*k(d) + 7*t(d).
-4*d
Let g(x) = 50*x - 47*x + 44 - 44. Let a(f) = -1. What is -4*a(y) - g(y)?
-3*y + 4
Let i(o) = 1. Let z(c) = -c**3 - 3*c**2 + 48. Give -5*i(k) + z(k).
-k**3 - 3*k**2 + 43
Let q(k) = 3*k**3 + 7*k**2 - 3*k - 7. Let d(g) = 2*g**3 + 5*g**2 - 2*g - 5. Suppose -35 = -5*f - 15. Let n be f/(-6)*30/4. Determine n*q(t) + 7*d(t).
-t**3 + t
Let a(r) = -2*r**2 + 6. Let o(s) = -s**2 - 1. What is -3*a(y) - 21*o(y)?
27*y**2 + 3
Let n(t) = -21*t - 1. Let d be (-3 + -1 - 9)*-20. Suppose -2*x - 2*s = -273 - 253, x = -4*s + d. Let y(r) = -264 - 4*r + x. Determine 2*n(j) - 11*y(j).
2*j - 2
Let x(w) = -91*w**2 + 9*w. Let k(u) = 91*u**2 - 7*u. Give -5*k(b) - 4*x(b).
-91*b**2 - b
Let t be (-26)/(-91) - 75/(-7). Let p(w) = 3*w**3 - 12 + 3*w**3 + t*w**2 + 3*w + 1 + 8*w. Let n(f) = f**3 + 2*f**2 + 2*f - 2. Determine 11*n(i) - 2*p(i).
-i**3
Let o(h) = -7*h**3 - 4*h**2 + 5*h + 5. Let m(k) = 6*k**3 + 2*k**2 - 6*k - 6. Determine 5*m(q) + 6*o(q).
-12*q**3 - 14*q**2
Let s(p) = -6*p**2 + 2*p - 3. Let o(a) = 3*a**2 - a + 2. Let j = -211 + 218. Calculate j*o(f) + 4*s(f).
-3*f**2 + f + 2
Suppose 33 = 12*b - 15. Let v(k) = -k + 5. Let f(p) = -2*p + 4. Give b*f(w) - 3*v(w).
-5*w + 1
Let a(x) = -7*x**3 - 8*x**2 - 5*x - 4. Let h(u) = -8*u**3 - 6*u**2 - 6*u - 5. Calculate 6*a(j) - 5*h(j).
-2*j**3 - 18*j**2 + 1
Let l = -6 - -13. Let z(x) = 28*x + 19. Let i(p) = -19*p - 13. Let d(o) = l*i(o) + 5*z(o). Let y(g) = -13*g - 7. Give 11*d(v) + 6*y(v).
-v + 2
Let j be 21/((-63)/30) + 7. Let l(d) = 4*d - 5. Let p(y) = 2*y - 2. Determine j*l(k) + 7*p(k).
2*k + 1
Let q(c) = -2*c**2 + 4. Let y(t) = t**2 - 13*t + 39. Let m be y(8). Let u(p) = p**2. Determine m*q(a) - 4*u(a).
-2*a**2 - 4
Suppose 0 = 2*a - 8 + 2. Let s(k) = 11*k - 2. Let x(z) = 5*z + 1. Let p(w) = s(w) - 2*x(w). Let n(t) = -1. What is a*n(i) - p(i)?
-i + 1
Let q(n) be the first derivative of -16*n**3/3 + 11*n - 5. Let z be (-6)/(-12) - (-3)/2. Let x(c) = 13*c - z - 13*c + 3*c**2. What is -2*q(g) - 11*x(g)?
-g**2
Let i(n) = -3*n - 3. Let q = 647 - 644. Let p(z) = 2*z + 1. Give q*i(o) + 7*p(o).
5*o - 2
Let q(g) = 2*g**3 + 34*g**2 - 4*g + 3. Let z(o) = -3*o**3 - 67*o**2