h
Let h(m) be the third derivative of m**6/120 + m**5/60 + m**4/24 + m**3/6 + 76*m**2. Let t(w) = -4*w**3 - 6*w**2 - 3*w - 5. Determine 5*h(p) + t(p).
p**3 - p**2 + 2*p
Let b(h) be the first derivative of -h**4/4 + 7*h**3/3 - 2*h**2 - 7*h - 53. Let f(n) = -n**3 + 3*n**2 - 2*n - 3. Calculate -3*b(c) + 7*f(c).
-4*c**3 - 2*c
Let r(n) = -12*n**2 + 15*n + 16. Let g(x) = 8*x**2 - 10*x - 10. Let c(l) = -8*g(l) - 5*r(l). Let t(y) = -y**2 + y. Give c(i) - 5*t(i).
i**2
Let z(k) = -11*k - 7. Let c(b) = -11*b - 5. What is 4*c(i) - 3*z(i)?
-11*i + 1
Let o(l) = -5*l - 17. Let v(d) be the first derivative of d**3/3 - 7*d**2 - 4*d - 6. Let t be v(14). Let p(b) = -2*b - 6. Give t*o(u) + 11*p(u).
-2*u + 2
Let p(t) = 3*t - 3. Let g(q) = -175*q - 29. Let i(w) = -62*w - 10. Let c(v) = -6*g(v) + 17*i(v). What is -4*c(a) - 5*p(a)?
a - 1
Let c(u) = 0 + u**2 + u + 1 - 2. Let g(l) be the first derivative of 4*l**3/3 + 3*l**2/2 - 2*l - 221. What is 3*c(w) - g(w)?
-w**2 - 1
Let q(s) = 5*s**3 - s**2 + s + 6. Let d be (-10*(-6)/15)/(-1) - 9. Let x(j) = 11*j**3 - 2*j**2 + 2*j + 13. What is d*q(p) + 6*x(p)?
p**3 + p**2 - p
Let v(h) = 6*h - 1. Let g(m) = 76*m - 8. Determine g(k) - 6*v(k).
40*k - 2
Let s(r) = 7*r - 4. Let u(m) = -3*m + 2. Suppose 2*p = 7*p. Suppose 3*h + 5 + 73 = p. Let q be (-3)/(-4) + h/(-8). Determine q*s(b) + 9*u(b).
b + 2
Let t(i) = 85*i + 6. Let v(g) = -88*g - 7. Determine -6*t(f) - 5*v(f).
-70*f - 1
Let a(y) = 1. Let o(u) = 0*u - 3*u - u + 3*u - 1. Let h be ((-3)/2)/(6/8). Determine h*a(p) - 3*o(p).
3*p + 1
Suppose -14*o - 78*o + 186 = 278. Let b(u) = u**2 - 4 + 4*u - 2 + u**2. Let j(t) = -t + 1. Determine o*b(s) - 6*j(s).
-2*s**2 + 2*s
Let o(m) = -m + 2 - 2. Let j(d) = 7*d. Suppose 3*g - 84 = 4*z - 12, -4*z - 48 = 3*g. Let r be (0 + 8/12)/(2/z). Calculate r*o(c) - j(c).
-2*c
Let f = 18 - 15. Suppose -z + 5 = u - f, 3*u = 5*z. Suppose z*r - 56 = 5*l, -4*l = 2*r + 3*r - 44. Let x(a) = -a**2. Let t(y) = 14*y**2. What is r*x(p) + t(p)?
2*p**2
Let f(m) = -2*m**2 + 4*m + 1. Let o(u) = 7*u + 3. Let j(y) = -y**2 - 15*y - 7. Let c(h) = 2*j(h) + 5*o(h). Let n be 7*-9*(-4)/(-42). Calculate n*f(b) + 5*c(b).
2*b**2 + b - 1
Let j(m) = -4*m**3 - 112*m**2 - 2*m - 61. Let c be j(-28). Let r(k) = -4*k**3 - 3*k**2 + 1. Let f(d) = 7*d**3 + 6*d**2 - 2. Give c*r(n) - 3*f(n).
-n**3 - 3*n**2 + 1
Let x(d) = -659*d**2 - 11*d - 11. Let k(c) = -219*c**2 - 4*c - 4. Calculate -11*k(a) + 4*x(a).
-227*a**2
Let o(v) = 6*v**3. Let p(f) = -14*f**3 + f**2 - 2*f - 6. Give -2*o(a) - p(a).
2*a**3 - a**2 + 2*a + 6
Let p(g) = -6*g + 35. Let l(y) = 2*y - 11. Give -7*l(m) - 2*p(m).
-2*m + 7
Let b(o) = 7*o**2 + 2. Let d(y) = 0*y - 1 - 4*y**2 + 0*y. Let n be (5/(-20))/((-1)/12)*-1. What is n*b(u) - 5*d(u)?
-u**2 - 1
Let h be ((-36)/6)/(1 - 0). Let f be (3 + 57)*(h/10 + 1). Let t(j) = -4*j - 24. Let i(r) = -r - 5. What is f*i(n) - 5*t(n)?
-4*n
Let l(q) = q + 2. Let g(k) = 43*k**3 + 2*k**2 - 6*k - 13. What is -g(j) - 6*l(j)?
-43*j**3 - 2*j**2 + 1
Let o(b) = 6*b**3 + 4*b**2 + 3*b. Suppose -j = 5 - 0. Let g(r) = 384*r**2 - 5*r**3 + r - 387*r**2 - 3*r. Determine j*g(y) - 4*o(y).
y**3 - y**2 - 2*y
Let o(z) = -6*z - 17. Let p(f) = -11*f - 160. Let n be p(-14). Let i(v) = 7*v + 18. What is n*o(x) - 5*i(x)?
x + 12
Let p(g) = g - 1. Let z(y) be the second derivative of -7 + 3*y + 0*y**2 - 1/6*y**3. Determine -p(j) - 4*z(j).
3*j + 1
Let c(d) = 2*d**2 - 3*d**2 - 5*d - 2 + 3. Let w(f) = 2*f**2 + 8*f - 2. Suppose 5*u - 137 = 93. Let s = 51 - u. Give s*w(g) + 8*c(g).
2*g**2 - 2
Let w(b) = 2 - b - 4 + 1. Let a(l) = l + 4. Suppose -11 = 25*t + 39. Determine t*w(v) - a(v).
v - 2
Let c(v) be the third derivative of 5*v**4/24 + 2*v**3/3 - 10*v**2 - 2. Let f(d) = -2 + 2*d - d - 4*d. Give 4*c(b) + 7*f(b).
-b + 2
Let j(o) = -4*o + 1. Let g(k) be the second derivative of k**3/6 - k. Suppose -n + 2*n + 5 = 0. Let r = 7 + n. Determine r*j(z) + 7*g(z).
-z + 2
Let w(b) = 3*b + 2. Let f(i) = 11*i - 3. Let s(q) = -3*q + 1. Let g(o) = 2*f(o) + 7*s(o). Give -5*g(r) + w(r).
-2*r - 3
Let n(d) = -d**2 - 1. Let c(h) = -h**2 - 2*h + 79. What is c(u) - 2*n(u)?
u**2 - 2*u + 81
Let f(m) be the second derivative of m**5/20 + 7*m**4/12 - 5*m**3/6 - 8*m. Let a(p) = -4*p**2 + 3*p. Determine 5*a(o) + 3*f(o).
3*o**3 + o**2
Let g(y) = -y. Let z(a) = -2*a + 5. Let j(x) = 3*g(x) - z(x). Let u(t) = -t**3 - 10*t**2 - 7*t + 23. Let q be u(-9). Let i(r) = r + 4. Give q*i(n) + 4*j(n).
n
Let c = 1317 + -1314. Let w(h) = h**3 + 3*h + 1. Let r(m) = -8*m + 0*m**2 - 5 - 3*m**3 - m**2 + 2. Calculate c*r(k) + 8*w(k).
-k**3 - 3*k**2 - 1
Let d(r) = 387*r**3. Let h(p) = 7740*p**3. What is 81*d(v) - 4*h(v)?
387*v**3
Let q(s) = 17*s**3 + s**2 - 3*s - 3. Let d(j) = 17*j**3 - 4*j - 4. Give -3*d(f) + 4*q(f).
17*f**3 + 4*f**2
Let r(v) = -11*v**3 - 11*v + 11. Let d(a) = a. Give 11*d(n) + r(n).
-11*n**3 + 11
Let x(f) = -19*f. Let a(b) = 18*b - 1. What is 6*a(w) + 5*x(w)?
13*w - 6
Let b(t) = 2*t**2 + t - 5. Let y(a) = -4*a**2 - 2*a + 9. Let p(g) = g**3 + 6*g**2 - 4*g - 20. Let d be p(-6). Calculate d*y(x) + 7*b(x).
-2*x**2 - x + 1
Let m be ((-2)/(-5))/((-1)/5). Let g be ((-18)/15)/(42/105). Let q(d) be the first derivative of -d**2/2 + d - 2. Let b(j) = 2*j - 2. What is g*q(i) + m*b(i)?
-i + 1
Let s(h) = -2*h - 1. Let r(y) = -179*y + 5. Give -r(k) - 6*s(k).
191*k + 1
Let r(o) = -o. Let s(c) = -3*c. Let l = 136 + -132. Give l*s(j) - 9*r(j).
-3*j
Let m(c) = 10*c - 1. Let y(a) = 88*a - 14. What is 84*m(i) - 6*y(i)?
312*i
Let f = -26 - -28. Let q(g) = 5*g - 4. Suppose h + 27 = 4*h. Let a(p) = -p + 1. What is f*q(o) + h*a(o)?
o + 1
Let d(s) be the first derivative of 3*s**2 - 5*s - 18. Let t(j) = -5*j + 4. What is -4*d(p) - 5*t(p)?
p
Let k(r) = -11*r - 2. Suppose 7 - 3 = -4*z, 3*s - 4*z = 22. Let o(y) = -s*y - 3*y + 1 + 12*y + 3*y. Calculate 4*k(t) + 7*o(t).
-2*t - 1
Let f(r) = 7*r + 7. Let t(m) = -m - 9. Let n be t(-6). Let z be (2/n)/((-34)/(-51)). Let c(k) = k + 1. Give z*f(d) + 6*c(d).
-d - 1
Let k(m) = 2*m**3 + 3*m + 3. Let u(c) be the second derivative of 3*c**5/20 + 5*c**3/6 + 5*c**2/2 - 21*c. Give 5*k(v) - 3*u(v).
v**3
Let b(a) = a + 1. Let z(l) = l + 4. Give -2*b(k) + z(k).
-k + 2
Let z(m) = -m**2 + 5*m + 5. Let y = 267 - 265. Let t(u) = -u**2 + 2*u + 2. Calculate y*z(x) - 5*t(x).
3*x**2
Let q(m) = m + 1. Let j = -85 - -163. Let d = j + -77. Let w(t) = t**3 + t**2 - 6*t - 6. Suppose 4*i - i - 18 = 0. Determine d*w(a) + i*q(a).
a**3 + a**2
Let z = 16 - 14. Let s be 1 - (-3 + 3 - 2). Let j = z + s. Let d(p) = 3*p**2 + 6*p. Let h(k) = -3*k**2 - 5*k. What is j*d(t) + 6*h(t)?
-3*t**2
Let i(t) = 5*t + t + 3*t**2 + 0*t + 2*t**3. Let l(g) = 4*g**3 - 789*g - 7*g**2 - 12*g**3 + 764*g - 6*g**2. Give 9*i(f) + 2*l(f).
2*f**3 + f**2 + 4*f
Let y(m) = 9*m. Let n(b) = -b + 14*b + 15*b. Let h = 26 - 21. Calculate h*n(x) - 16*y(x).
-4*x
Let a(u) = -7*u**2 + 6*u + 3. Let p(q) = q**2 - 2*q + 1. Let s(l) = -a(l) - 2*p(l). Let x(t) = 2*t**2 - t - 2. Calculate 3*s(v) - 7*x(v).
v**2 + v - 1
Let v(l) = -8*l**2 - 73*l + 2. Let a(r) = 7*r**2 + 73*r - 2. Calculate 6*a(z) + 5*v(z).
2*z**2 + 73*z - 2
Let d(v) = -v + 1. Let l = -489 - -492. Let s(r) = 2. What is l*s(j) - 2*d(j)?
2*j + 4
Let a(x) = 28*x**2 + 24*x + 39. Let c(t) = 13*t**2 + 11*t + 18. Let u(o) = 6*a(o) - 13*c(o). Let i(r) = 5*r**2 + 2*r. Determine i(n) + 6*u(n).
-n**2 + 8*n
Let v(m) = -m**2 + 13*m + 9. Let l(s) = s**2 - 10*s - 8. Give -5*l(a) - 4*v(a).
-a**2 - 2*a + 4
Suppose 0 = 2*m - 6, 9*z - 281 = 5*z - 3*m. Let u(l) = -12*l**2 + 34*l + 34. Let h(o) = -o**2 + 3*o + 3. Let v be (-4 + 0)*(-9)/(-6). Determine v*u(i) + z*h(i).
4*i**2
Let z(c) = 5*c**2 - 13*c**2 + 4 + 3*c**2 - 4*c + c**3 + 5*c**2. Let j(r) be the third derivative of r**4/24 - r**3/6 + 2*r**2. Give 20*j(l) + 5*z(l).
5*l**3
Let j(f) = 5. Let u(w) = -4*w + 15. Let i be u(5). Let p(l) = l + 6. What is i*p(z) + 6*j(z)?
-5*z
Let b(j) = -3*j**3 - 3*j**2 + j + 3. Let l = -14 + 10. Let s(t) be the first derivative of 3*t**4/4 + 4*t**3/3 - t**2/2 - 4*t - 648. Calculate l*b(r) - 3*s(r).
3*r**3 - r
Let f(y) = 1. Let p(v) = -v + 9. Let c(r) = -6*f(r) + p(r). Let m(j) = 5*j + 0*j + 8*j - 7*j - j - 16. Let g = -8 - -30. Determine g*c(o) + 4*m(o).
-2*o + 2
Let g = -6 - -2. Let k(y) = 10*y**3 + 45*y**2 - 45*y + 45. Let s(b) = b**3 + 4*b**2 - 4*b + 4. Let f = -128 + 173. Calcula