3*s, 3*h + 3*s = -2*s - 8. Let p(g) = 2*g - 23 + 21 + 0*g + 3*g**3 + 4*g**2. Determine h*b(n) + 3*p(n).
n**3 + 2*n - 2
Let k(t) be the third derivative of t**4/24 - 4*t**3/3 - 2*t**2. Suppose -3*r - r = -2*b + 26, -3*b + 32 = -5*r. Let n(s) = -s + 7. Calculate r*n(f) - 6*k(f).
f - 1
Let q(a) = -a**2 - 1. Let x(w) = 31*w**2 + 8. Determine -24*q(z) - 3*x(z).
-69*z**2
Let i(m) = -3*m**2 - m + 2. Let c(x) = -x**3 + 15*x**2 + 6*x - 11. Let n(o) = -2*c(o) - 11*i(o). Let b(v) = -2*v**3 - 2*v**2. Give 3*b(g) + 2*n(g).
-2*g**3 - 2*g
Let l(s) = -155*s - 1. Let n(f) = -3*f. Determine -l(h) + 5*n(h).
140*h + 1
Let u(b) = 4*b**3 + 4*b**2 - 3*b + 3. Let n(g) = -12*g**2 - 3*g**3 - 8*g**3 - 8 + 609*g - 601*g. Determine -3*n(f) - 8*u(f).
f**3 + 4*f**2
Let m(s) = -2*s - 3*s + 4*s**2 + 5*s + 5. Let b(x) be the third derivative of x**5/5 + 8*x**3/3 + 53*x**2. What is 5*b(v) - 16*m(v)?
-4*v**2
Let k(c) = -6*c**2 + 9*c - 31. Let n(x) = -5*x**2 + 8*x - 30. Calculate 6*k(y) - 7*n(y).
-y**2 - 2*y + 24
Let u(z) = -4*z - 50. Let a be u(-12). Let w(b) = 13*b**3 - 3*b - 1. Let v(k) be the first derivative of -k**4 + k**2/2 - 2. Determine a*w(n) - 7*v(n).
2*n**3 - n + 2
Let s(t) = 5*t**3 - t + 1. Let d be s(1). Let x = -65 + 95. Let n(u) = 25*u + 2 + x*u - 58*u. Let w(z) = -2*z + 1. Give d*w(v) - 3*n(v).
-v - 1
Let g(j) = -3*j + 3. Let u(i) = i**2 - 7*i + 7. Let d = 110 + -43. Suppose 10*b = d + 3. Determine b*g(h) - 3*u(h).
-3*h**2
Let g(s) = 5*s**2 - 15*s + 11. Let t(j) be the first derivative of -j**3 + 4*j**2 - 6*j - 184. What is -4*g(y) - 7*t(y)?
y**2 + 4*y - 2
Let m(a) be the third derivative of a**4/3 + 491*a**2. Let j(s) = -9*s. Give -3*j(z) - 4*m(z).
-5*z
Let i(d) = 558*d + 186. Let s(k) = 2*k + 1. What is 2*i(t) - 372*s(t)?
372*t
Let y(d) = -3*d**3 - 3*d + 3. Let h(v) be the third derivative of -v**6/60 - v**4/12 + v**3/3 - 4*v**2. Suppose -10*p = -14*p + 12. Calculate p*y(g) - 5*h(g).
g**3 + g - 1
Let i(l) = l**3 + l + 1. Let j(u) = -27*u**3 + 2*u + 2. Determine -2*i(x) + j(x).
-29*x**3
Let o(v) = 9*v**2 - 10*v + 3. Let t = 164 + -172. Let f(m) = 14*m**2 - 15*m + 4. Let q(u) = t*o(u) + 5*f(u). Let n(g) = g - 1. Give 5*n(x) - q(x).
2*x**2 - 1
Let j(l) = -52*l**2 - 9*l + 1. Let z(y) = 13*y**2 + 2*y. Calculate 2*j(u) + 9*z(u).
13*u**2 + 2
Let l(x) = -x**2 + 41*x + 2. Let z(k) = k**2 - 40*k - 2. Give -3*l(m) - 2*z(m).
m**2 - 43*m - 2
Let x(h) = 2*h**3 + h**2 - 9*h + 3. Let n(a) = a**3 - a + 1. Calculate -6*n(z) + x(z).
-4*z**3 + z**2 - 3*z - 3
Let z(u) be the second derivative of -1/2*u**2 + 6*u + 0 - 1/6*u**3. Let l(j) = j. Let i = 13 - 11. What is i*z(y) + 3*l(y)?
y - 2
Let i = -83 + 88. Let w(c) = -c - 7 - 7*c + 7 - i. Let n(a) = -20*a - 12. Give 5*n(h) - 12*w(h).
-4*h
Let i(h) = -h**3 - h**2 - h - 1. Let r(p) = -3*p**3 - 4*p**2 - 4*p + 1. What is 4*i(b) - r(b)?
-b**3 - 5
Let g(u) = -u. Let w(a) = 0 - 5 + 3 + 20*a - 16*a. Let s = -120 + 125. Calculate s*g(v) + w(v).
-v - 2
Let p(c) = 2*c**3 + 11*c**2 + 4*c + 12. Let i(h) = -2*h**3 - 11*h**2 - 5*h - 13. Give 3*i(k) + 4*p(k).
2*k**3 + 11*k**2 + k + 9
Let l(c) = -2*c**2 - 27*c - 7. Let r(b) = b**2 + 27*b + 5. Calculate 2*l(d) + 3*r(d).
-d**2 + 27*d + 1
Suppose 2*f - 2*k - 16 = -4*k, 0 = 5*k - 15. Let w(y) = 2*y**2 - 3*y - 2. Let g(o) = -4*o**2 + 7*o + 5. Suppose 4439 = 10*i + 4419. Calculate f*w(d) + i*g(d).
2*d**2 - d
Let m(y) = -25*y**2 + 9*y + 3. Let t(s) = 38*s**2 - 13*s - 4. What is 7*m(w) + 5*t(w)?
15*w**2 - 2*w + 1
Let c(w) = 734*w**3 + 3*w**2. Let f(m) = -733*m**3 - 4*m**2. What is 4*c(r) + 3*f(r)?
737*r**3
Let s(j) = -18*j**3 + 11*j - 10. Let h(f) = -9*f**3 + 5*f - 4. Determine 5*h(x) - 2*s(x).
-9*x**3 + 3*x
Let u = 368 + -373. Let l(s) = -s - 5 + 5 - s**2. Suppose 5*z + 10 = 0, 4*n - 3*z = 2*n + 4. Let d(c) = 7*c**2 + 3*c + 1. Determine n*d(o) + u*l(o).
-2*o**2 + 2*o - 1
Let l(c) = -2*c + 1. Let a(o) = o**2 - 12*o + 15. Let k be (-9)/(-15) - (-52)/5. Let h be a(k). Let i(u) = 6*u - 3. What is h*i(f) + 11*l(f)?
2*f - 1
Suppose 20 = -2*n - 4*d, 5*n + d + 6*d = -41. Let y(u) = 7*u**2 - 2*u + 2. Let m(z) = z**2 - z + 1. Calculate n*m(b) + 2*y(b).
10*b**2
Let b(c) = 1159*c**2 + 5*c - 25. Let w(o) = 17385*o**2 + 76*o - 380. Determine 76*b(v) - 5*w(v).
1159*v**2
Let u(v) = 4*v**3 - 5*v**2 - 2*v - 5. Let t be (-14)/(-3) - (-1)/3. Let a(c) = -2*c**3 + 2*c**2 + c + 2. Give t*a(o) + 2*u(o).
-2*o**3 + o
Let x(l) = l**3 - 13*l**2 - 18. Let q be x(13). Let f(j) = -4*j**2 - j + 9. Let w(s) = 1. Calculate q*w(i) + 2*f(i).
-8*i**2 - 2*i
Let w(y) = 792*y - 2 - 793*y - 1. Let l(r) = 1. Let c be (-6 + 5)*(1 - -2). Give c*l(q) - w(q).
q
Let o(i) = 7*i. Let r(n) = -86 + 87 + 5*n + 3*n. Calculate 6*o(g) - 5*r(g).
2*g - 5
Let i(a) = a**2 - 2*a. Let w(u) = -40*u**2 + 88*u. Give 176*i(s) + 4*w(s).
16*s**2
Let f(v) = 20*v - 130. Let n(k) = -9*k + 64. Give 4*f(u) + 9*n(u).
-u + 56
Let b(s) = 108*s**2 + 10*s - 10. Let u(r) = r**2 - r + 1. What is -b(x) - 10*u(x)?
-118*x**2
Let p = 205 + -210. Let y(i) = -5*i**2 + 3*i + 5. Let s(n) = -6*n**2 + 4*n + 6. Give p*y(u) + 4*s(u).
u**2 + u - 1
Suppose -5 = 3*g + 1. Suppose -f + 8 = -1. Let s(v) = 4*v. Let x(l) = -5*l. Let t(m) = 9*m. Let d(c) = 4*t(c) + 7*x(c). Determine f*d(a) + g*s(a).
a
Let o(v) = -42*v**2 - 14*v - 11. Let n(p) = -14*p**2 - 5*p - 4. Suppose -61*s + 6*s = -220. Determine s*o(u) - 11*n(u).
-14*u**2 - u
Let d(b) = -b + 4*b - 2*b + 1. Let z(n) = -5*n - 6. Let f be (4/30)/(9/90)*-3. Determine f*d(i) - z(i).
i + 2
Let o be (-204)/(-60) - 6/(-45)*-3. Let c(z) = -5*z. Let v(k) = -6*k + 1. Give o*c(x) - 2*v(x).
-3*x - 2
Let b(w) = 5*w**3 + 7. Let d(r) = 10*r**3 + 15. What is -13*b(s) + 6*d(s)?
-5*s**3 - 1
Let r = -134 - -136. Let a(x) = -82 - r*x + x + 41 + 42. Let o(d) = 3*d + 3. Give -2*a(m) + o(m).
5*m + 1
Let g(m) = 12*m**3 - 5*m**2 + 5. Let q be (-9)/(-12)*-4 + 7. Let x(a) = -11*a**3 + 4*a**2 - 4. Give q*g(p) + 5*x(p).
-7*p**3
Let v(k) = 119*k + 37. Let m(t) = 30*t + 9. Give 9*m(g) - 2*v(g).
32*g + 7
Let d(x) = -4. Let r(g) = 1 + 14208*g**2 - 4 - 14207*g**2. What is -3*d(k) + 4*r(k)?
4*k**2
Let n(i) = i**2 - i + 1. Let f(v) = -8*v**3 - v**2 + v - 1. Let u(h) = 2*h**3 - 47*h**2 - 23*h - 23. Let d be u(24). What is d*n(p) + f(p)?
-8*p**3
Let z(c) = 3*c - 16 - 2*c + 2 + 9 + 3. Let f(d) = 1. Give 5*f(x) + 2*z(x).
2*x + 1
Suppose -2*t + 2*v + 46 = -2, 28 = t - 2*v. Suppose -22*k = -18*k - t. Let g(s) = -4*s - 1. Let d(w) = -2*w - 1. What is k*d(i) - 3*g(i)?
2*i - 2
Let a(z) = -4*z**2 - 2. Let g(p) = -7 + 4 + 2. Let v(o) = -1. Let f(w) = g(w) - 2*v(w). Give -a(j) - 2*f(j).
4*j**2
Let c(h) = 7*h - 12. Let s(q) = -3*q + 5. Let f(j) = 2*c(j) + 5*s(j). Let v(a) = 2*a**2 - 3*a + 5. Calculate 3*f(p) - v(p).
-2*p**2 - 2
Let y(j) = 9*j**3 + 7*j**2 - 7*j + 115. Let n(t) = 5*t**3 + 4*t**2 - 4*t + 58. Determine 7*n(z) - 4*y(z).
-z**3 - 54
Let f(o) = 17*o**3 - 13*o**2 - 7. Let x(a) = 15*a**3 - 13*a**2 - 12*a - 4. Let p(m) = m**3 - m**2 - 2*m. Let w(b) = -6*p(b) + x(b). Calculate 6*f(v) - 11*w(v).
3*v**3 - v**2 + 2
Let k(y) = 6*y - 1. Let n(g) be the third derivative of 0*g + 0*g**3 - 1/24*g**4 + 0 + 4*g**2. What is k(l) + 3*n(l)?
3*l - 1
Let l(i) = -17*i**3 + 5*i + 34. Let c(b) = 15*b**3 - 4*b - 33. Give 7*c(n) + 6*l(n).
3*n**3 + 2*n - 27
Let s(l) = -2*l**2 + 18*l - 7. Let i(r) = -r**2 + 8*r - 3. Let h(u) = -9*i(u) + 4*s(u). Let b(q) = 9*q**2 - 11. Determine -4*b(o) + 44*h(o).
8*o**2
Let c(m) = -122*m + 5. Let b(j) = -24*j + 1. Calculate 22*b(w) - 4*c(w).
-40*w + 2
Let h(w) = -2*w + 1. Let n(b) = -8*b - 39. What is 3*h(u) - n(u)?
2*u + 42
Let v(o) = 8*o**3 - 7*o**2 - 8*o. Let p(k) = -7*k**3 + 6*k**2 + 6*k. Calculate 4*p(w) + 3*v(w).
-4*w**3 + 3*w**2
Let u(o) = 17*o + 1377. Let i(m) = 12*m + 918. Determine -7*i(r) + 5*u(r).
r + 459
Let y(m) = 13*m**2 + 7*m + 6. Let s(j) = -37*j**2 - 20*j - 19. Determine -6*s(v) - 17*y(v).
v**2 + v + 12
Let c(o) be the second derivative of o**2/2 + 2*o. Let k(x) = 115 - 34 - 39 + 5*x - 27. What is 15*c(h) - k(h)?
-5*h
Let k(p) = 20*p**2 + 5*p - 1. Let u(t) = t**2 + t - 1. What is -k(i) + 2*u(i)?
-18*i**2 - 3*i - 1
Let m(i) = -5*i. Let p(f) = -8*f**2 + 3*f - 2. Let k(u) = -m(u) - p(u). Let c(z) = 16*z**2 + 5*z + 5. What is -2*c(w) + 5*k(w)?
8*w**2
Let i(n) = n + 4. Let w(f) = 7. Let t(p) = p - 22. Let o(y) = 2*t(y) + 7*w(y). Suppose d - 15 = -3*q - 6, -4*d + 