- 4. Let n(k) = 178*k - 2. Determine 5*n(m) - 2*r(m).
178*m - 2
Let v(b) = -2*b**2 - 5*b - 5. Suppose 9 = 3*t - 6. Let w be (-4)/(-60)*9*t. Let q(c) = 3*c**2 + 6*c + 6. What is w*q(m) + 4*v(m)?
m**2 - 2*m - 2
Let n(p) = 3*p**2 - 202*p + 72. Let b be n(67). Let d(q) = -q + 1. Let w(h) = -3*h + h + 3 - 5*h + h**2. Determine b*d(z) - w(z).
-z**2 + 2*z + 2
Let i(v) = 3*v - 4. Let a(n) be the third derivative of -n**4/8 + n**3/2 + 4*n**2 - n. What is 3*a(o) + 2*i(o)?
-3*o + 1
Let o(y) = 15*y**3 + 2*y - 2. Let h(p) = -44*p**3 - p**2 - 7*p + 7. Determine -2*h(k) - 7*o(k).
-17*k**3 + 2*k**2
Let q(w) = -3*w + 2. Let k(u) be the first derivative of -u**2 + 2*u + 24. Give 6*k(f) - 5*q(f).
3*f + 2
Let o(m) = m**2 - 8*m - 6. Let k(j) = 2*j**2 - 6*j - 5. Calculate 5*k(d) - 4*o(d).
6*d**2 + 2*d - 1
Let i(x) = -1. Let a(l) = 3*l**2. Give a(k) - 2*i(k).
3*k**2 + 2
Let w(u) = 2*u. Let x be -15 + 27/3 + 3. Let g(q) = -3 - q + 3. Determine x*g(h) - 2*w(h).
-h
Let y(d) = -1012*d**3 + 24*d**2 + 12*d + 6. Let u(r) = -424029*r**3 + 10060*r**2 + 5030*r + 2515. Calculate 6*u(x) - 2515*y(x).
1006*x**3
Let l be ((-4)/6)/((-3)/18). Suppose 3*d = h + 1, 6 = d + l*h - 3. Let a(t) = -t**3 - t**2 + t. Let b(p) = 2*p - 17114 + 17114 - 2*p**2. Give d*b(j) - a(j).
j**3 - j**2 + j
Let h(z) = -3*z**3 - z**2 - 5*z - 3. Let u(d) = 11*d**3 + 3*d**2 + 15*d + 9. Give -7*h(s) - 2*u(s).
-s**3 + s**2 + 5*s + 3
Let v(y) = -73*y**2 + 8*y - 2. Let t(r) = 72*r**2 - 9*r + 2. Determine 6*t(i) + 7*v(i).
-79*i**2 + 2*i - 2
Let h(m) = -2*m**2 - 18*m - 114. Let q(j) = 4*j**2 + 33*j + 229. Determine 11*h(g) + 6*q(g).
2*g**2 + 120
Let m(o) = -7*o + 7. Let c(v) = 6*v - 6. Let z(f) = 6*c(f) + 5*m(f). Let w(i) = -i**2 + 6*i - 6. Give w(s) - 6*z(s).
-s**2
Let f(x) = x**2 + x + 1. Let h(v) = 2*v**3 - 12*v**2 - 26*v + 86. Let p be h(7). Let z(q) = -7*q**3 + 11*q**2 + 11*q + 11. What is p*z(c) - 22*f(c)?
-14*c**3
Let i(k) = -20657*k**2 + 454*k + 454. Let n(z) = 227*z**2 - 5*z - 5. Calculate -5*i(l) - 454*n(l).
227*l**2
Let m(q) = -370*q - 8. Let f(w) = 123*w + 3. Give 14*f(l) + 5*m(l).
-128*l + 2
Let f be (1 + 6/(-9))*156. Let a be 3/(-4 - f/(-16)). Let w(p) = p - 3. Let v(q) = -q + 4. Calculate a*w(y) - 3*v(y).
-y
Let r = -19616 - -19610. Let o(d) = 2*d**3 - 6*d**2 - 6. Let g(j) be the second derivative of j**5/4 - 17*j**4/12 - 17*j**2/2 - j. Give r*g(b) + 17*o(b).
4*b**3
Let x(s) = 8 - 3 - 18*s - s**2 + 15*s + 17*s**3 + 8*s + 6*s**2. Let b(j) = 170*j**3 + 51*j**2 + 51*j + 51. Calculate -5*b(z) + 51*x(z).
17*z**3
Let y(a) = -a - 2. Let w be y(5). Let s(g) = 4*g**3 - 5*g**2 - 3*g - 3. Let d(h) = -6*h**3 + 7*h**2 + 4*h + 4. Let v = -166 - -161. What is v*d(o) + w*s(o)?
2*o**3 + o + 1
Let z(j) = j. Let v(f) = -2*f - 33. Let h be v(-16). Let s(n) = -4*n + 3. Let d(u) = -5*u + 4. Let y(p) = -2*d(p) + 3*s(p). Give h*y(o) - 3*z(o).
-o - 1
Let b(v) = -286974*v**2 + 14124*v - 3531. Let c(a) = 325*a**2 - 16*a + 4. What is -4*b(p) - 3531*c(p)?
321*p**2
Let y(k) be the second derivative of 3*k**3/2 + 3*k**2 - 3*k - 2. Let t(i) = -8*i - 5. Determine 7*t(z) + 6*y(z).
-2*z + 1
Let v(b) = b**2 - 4*b - 32. Let x(p) = 3*p + 31. Calculate -3*v(u) - 4*x(u).
-3*u**2 - 28
Let a(f) = -2. Let i(w) = -3*w - 35. What is -3*a(q) - i(q)?
3*q + 41
Let j(i) = -2*i**2. Let h(t) = t + 1. Let n(o) = o**3 - 11*o**2 - 2*o + 24. Let k be n(11). What is k*h(u) - j(u)?
2*u**2 + 2*u + 2
Let k(m) = m + 11. Let n(a) = 3. Suppose 31*p = -70*p + 202. What is p*k(v) - 9*n(v)?
2*v - 5
Let s(c) = -2*c**2 + 6*c + 15. Let b(q) = -5*q**2 + 13*q + 33. Calculate -4*b(a) + 9*s(a).
2*a**2 + 2*a + 3
Let f(v) = -3*v**3 - 2*v**2 - 6*v. Suppose 0 = -8*r - 5*r - 39. Let o(a) = -2*a**3 - 2*a**2 - 5*a. Determine r*f(n) + 4*o(n).
n**3 - 2*n**2 - 2*n
Let p(w) = w**3 - 11*w**2 + 3*w - 1. Let a(j) = -4*j**2 + j. Determine -11*a(i) + 4*p(i).
4*i**3 + i - 4
Let j(o) = -3*o**2 + 3*o - 2. Let c(s) = 1 - s**2 - 9 - 4 + 11 + s. Let q = 24 + -25. Let z be 4 - ((q - -5) + 5). What is z*c(b) + 2*j(b)?
-b**2 + b + 1
Let a = -390 + 392. Let z(h) be the first derivative of -10 + a*h + 1/2*h**2. Let d(w) = -5*w - 11. Give -2*d(f) - 11*z(f).
-f
Let b(a) = -25*a**3 - 2*a**2 + a - 6. Let c(r) = -1. Give b(g) - 6*c(g).
-25*g**3 - 2*g**2 + g
Let r(x) = 1. Let f(t) = t - 5. Suppose 25*o = 67*o + 210. Give o*r(v) + f(v).
v - 10
Let y(o) = 60*o**2 - 2. Let x(j) = -2520*j**2 + 85. Calculate 6*x(g) + 255*y(g).
180*g**2
Let f(q) be the second derivative of q**4/4 - q**3/2 + 4*q**2 - 4*q - 13. Let w(i) = -1. Calculate f(l) + 6*w(l).
3*l**2 - 3*l + 2
Let s(p) = -8*p + 5. Let u(b) = -6*b - b - 13*b + 12. Let h = -5106 + 5118. What is h*s(g) - 5*u(g)?
4*g
Let g(z) = 13*z + 10. Let y(w) = 7*w + 5. Let j(p) = 3*g(p) - 5*y(p). Let u(s) = -5*s - 6. Calculate 7*j(k) + 6*u(k).
-2*k - 1
Let h(f) = -16*f - 15. Let z(y) = -4*y - 4. Suppose 4*q = -4*o + 4, -3*o + 37 = -q + 14. Determine o*h(a) - 22*z(a).
-8*a - 2
Let g(p) = p**2 - 1. Let l(a) be the second derivative of a**4/12 + a**3/2 - a**2/2 + a + 1. Give -2*g(r) + l(r).
-r**2 + 3*r + 1
Let j(c) = -2*c**3 + 3*c**2 - 6*c. Let l(r) = 2*r + 9. Let i be l(-6). Let x = 15 + -4. Let a(t) = 5*t + x*t + 5*t**2 - 27*t - 4*t**3. Give i*a(p) + 5*j(p).
2*p**3 + 3*p
Let w(t) = -t + 1. Let d(v) = -v**3 - 3*v**2 + 20*v + 11. Let j be d(-6). Let x(a) = 2*a**2 - 2*a + 2. Give j*x(k) + 4*w(k).
-2*k**2 - 2*k + 2
Let m = 204 + -180. Let k(c) be the second derivative of 2*c**4/3 - 5*c**3/6 - c. Let y(w) = -39*w**2 + 24*w. What is m*k(f) + 5*y(f)?
-3*f**2
Let g(r) be the first derivative of -r**5/20 - 7*r**2/2 - 15. Let q(a) be the second derivative of g(a). Let z(t) = 10*t**2 + t + 1. Give 7*q(s) + 2*z(s).
-s**2 + 2*s + 2
Let m(y) = -5*y**3 + 9*y**2 - 2*y - 6. Let c(f) = f**3 - 11*f**2 - 16*f + 47. Let o be c(12). Let z(b) = b**3 + 1. Determine o*m(h) - 6*z(h).
-h**3 - 9*h**2 + 2*h
Let n(w) = 249*w**2 - 5*w + 9. Let f(d) = -124*d**2 + 3*d - 5. Give 5*f(c) + 3*n(c).
127*c**2 + 2
Let m(l) = -3*l**3 + 3*l**2 + 13*l**3 - 3*l**2 + l**2 - 5*l**3. Let r(a) = a**2. What is -m(j) + r(j)?
-5*j**3
Let z(v) = 13*v**2 + 141*v. Let o(h) = -11*h**2 - 140*h. What is 7*o(f) + 6*z(f)?
f**2 - 134*f
Let f(z) = -8*z**2 - 5*z. Let b(k) = 2*k - 1356*k**2 + 1357*k**2 - k. What is 5*b(v) + f(v)?
-3*v**2
Let k(g) = 2*g - 1. Let n(s) = s**3 + 3*s**2 + 2*s + 3. Let r be n(-2). Let p(b) = 52*b - 9*b - 17*b - 15*b - 13*b. Give r*k(y) + 2*p(y).
2*y - 3
Let d(t) be the third derivative of t**6/6 + t**4/8 + t**3/2 + 537*t**2. Let w(q) = 221*q**3 + 34*q + 34. Calculate 34*d(o) - 3*w(o).
17*o**3
Let w(t) = -34*t**2 + 18*t - 37. Let p(l) = 8*l**2 - 4*l + 9. Let x(v) = 9*p(v) + 2*w(v). Let j(i) = 3*i**2 + 6 - 1 + 0. Determine 7*j(y) - 5*x(y).
y**2
Let c(v) = -v**3 + 4*v**2 + 4*v - 4. Let u(y) be the first derivative of -41 + 5/3*y**3 - 5*y + 5/2*y**2. What is 5*c(l) - 4*u(l)?
-5*l**3
Suppose 6*p + 9 = -3*p. Let m(s) = s**2 + 4*s - 5. Suppose r - 2*z = 5, -3*r + z + 4 = -6. Let g(a) = a**2 + a - 1. Determine p*m(l) + r*g(l).
2*l**2 - l + 2
Let u(m) = -14*m**2 - 3*m - 9. Let f(i) be the first derivative of -5*i**3/3 - i**2/2 - 3*i + 306. Give 17*f(r) - 6*u(r).
-r**2 + r + 3
Let d(z) be the first derivative of z**4/4 + z**3/3 + z - 3. Let u(l) = -15*l**3 - 20*l**2 - 20. Suppose 93*a - 43*a + 1000 = 0. Calculate a*d(w) - u(w).
-5*w**3
Let m(s) = 5*s**2 - 6*s - 1. Let x(j) = -j**2 + j. Let g = 103 + -239. Let k = g + 134. Give k*m(p) - 11*x(p).
p**2 + p + 2
Let g(c) = -20*c**2 - 15*c + 15. Let f(a) = 8 - 4444*a**2 - 4 - 4*a + 4439*a**2. Determine 15*f(p) - 4*g(p).
5*p**2
Suppose 0 = -13*u + 17*u + 4. Let a(o) = 1. Let t(v) = -3*v**2 + 6. Let l(y) = 7*y**2 - 12. Let i(n) = 4*l(n) + 9*t(n). Determine u*i(s) + 6*a(s).
-s**2
Let f(r) = r**3 + 5*r**2 + 28*r - 3. Let l(a) = 2*a**3 + 12*a**2 + 57*a - 7. What is -5*f(c) + 2*l(c)?
-c**3 - c**2 - 26*c + 1
Let h(q) = -6*q**2 + 3*q + 2. Let m(s) be the first derivative of s**3 - s**2/2 - s - 232. Give 2*h(t) + 5*m(t).
3*t**2 + t - 1
Let v(r) = 9*r + 1. Let y(a) = -2*a - 1. Determine v(j) + 3*y(j).
3*j - 2
Let z(m) = -6*m + 55. Let f be z(10). Let l(p) = 2*p - 3. Let a(w) = w - 1. What is f*l(h) + 15*a(h)?
5*h
Let y(s) = -4*s**2 - 30*s + 3. Let h(c) = c - 1. Determine -3*h(k) - y(k).
4*k**2 + 27*k
Let q(p) = p**3 - 4*p**2 + 4*p + 4. Let l(y) = -y**3 + 5*y**2 - 5*y - 5. Le