(m) be the third derivative of m**6/120 - m**5/60 - m**4/24 + m**3/6 - 9*m**2 + 8*m - 2. Calculate -4*a(d) + f(d).
-5*d**3 - 2*d**2 - d - 2
Let d(g) = 3*g + 8 - 5 + 10. Let v(r) = r + 4. Let p be (-80)/60*222/8. Let z = p + 30. What is z*v(l) + 2*d(l)?
-l - 2
Let c(p) = -4*p**2 + 520*p + 20. Let q(d) = 12*d**2 - 1563*d - 54. Determine 8*c(x) + 3*q(x).
4*x**2 - 529*x - 2
Let x(f) = 10*f**2 + 5*f + 321*f**3 + 342*f**3 - 656*f**3 + 6. Let c(r) = 8*r**3 + 10*r**2 + 6*r + 7. What is -6*c(s) + 7*x(s)?
s**3 + 10*s**2 - s
Let q(k) = -2*k + 18. Let i(s) = -39 + 124 - 27 - 28 - 29. What is 5*i(r) - q(r)?
2*r - 13
Let k(u) = 1336 + 1336 + 6*u - 2669. Let b(l) = 7*l + 4. Give -2*b(t) + 3*k(t).
4*t + 1
Let s(z) = 68*z**2 - 10*z + 11. Let m(y) = -340*y**2 + 52*y - 58. Determine 4*m(k) + 21*s(k).
68*k**2 - 2*k - 1
Let u(m) = 4*m**3 + 2*m**2 + m. Let l(n) = -17*n**3 - 12*n**2 + 126*n + 1. Calculate l(y) + 5*u(y).
3*y**3 - 2*y**2 + 131*y + 1
Let i(g) = -g. Let h(m) = -2*m + 0*m**2 + 6*m**2 + 13440 - 3*m**2 - 13440. What is h(u) - 2*i(u)?
3*u**2
Let v(b) = -31*b**2 - 27*b + 36. Let r(t) = 13*t**2 + 11*t - 14. What is -12*r(m) - 5*v(m)?
-m**2 + 3*m - 12
Let v(k) = -7*k + 3. Let u(p) be the third derivative of 7*p**4/8 - 3*p**3/2 + 870*p**2. What is 6*u(a) + 17*v(a)?
7*a - 3
Let i(d) = -3*d - 8*d + 2 - 7*d - 2*d + 9*d - 8. Suppose 3*h + 2*h - 20 = 0. Let y(x) = -12*x - 7. Determine h*y(k) - 5*i(k).
7*k + 2
Let r(f) be the first derivative of 4*f**3/3 + f**2 + 2*f + 189. Let m be ((-15)/(-9))/((-4)/(-12)). Let h(p) = 8*p**2 + 5*p + 5. Determine m*r(a) - 2*h(a).
4*a**2
Let q(h) = -6*h - 5. Let l be -10 - (2736/(-570))/((-4)/(-10)). Let a = -26 + 36. Let c(x) = x + 1. Give a*c(w) + l*q(w).
-2*w
Let g(m) = 33*m**2 + 7*m - 1. Suppose 39*o = 9*o + 150. Let q(w) = -22*w**2 - 5*w + 1. Determine o*g(x) + 7*q(x).
11*x**2 + 2
Suppose 58*f - 169*f + 169 = 58. Let v(i) = i. Let t(w) = 5*w + 4. Calculate f*t(z) - 2*v(z).
3*z + 4
Let r(c) = 2*c**2 - 6*c + 9. Let p(d) = 19*d - 19. Let i(v) = -7*v + 7. Let a(s) = -8*i(s) - 3*p(s). Give 6*a(o) - r(o).
-2*o**2 - 3
Let u(i) = 1019468*i - 4535. Let k(t) = 899*t - 4. Determine 4535*k(n) - 4*u(n).
-907*n
Suppose 0 = 33*o - 166 - 329. Let w(k) = 140*k - 16 - 142*k + o. Let f(h) = -3*h - 2. Give -4*f(t) + 5*w(t).
2*t + 3
Let k(g) = -40*g**2 - 3*g + 111. Let b(h) = -34*h**2 - 4*h + 109. Calculate 7*b(w) - 6*k(w).
2*w**2 - 10*w + 97
Let a(q) = 3030*q - 13. Let j(x) = -3041*x + 15. Determine -7*a(u) - 6*j(u).
-2964*u + 1
Let j(l) be the third derivative of 68*l**2 + 1/3*l**4 + 0*l + 0 + 5/6*l**3. Let v(g) = 20*g + 12. Give 12*j(s) - 5*v(s).
-4*s
Let o(f) = f**2 - 1. Let v(y) = -3*y**2 - 5 + 7 - 194*y + 385*y - 184*y. Determine 2*o(m) + v(m).
-m**2 + 7*m
Let m(y) = 2*y + 4. Suppose 4*z = -4*k + 84, -z = 3*k - 4*z - 33. Let r be 15 - ((-11 - -3) + k). Let d(o) = o + 2. Calculate r*d(n) - 3*m(n).
n + 2
Let b(w) = 13*w**3 - 13*w**2 + 13*w. Let r(a) = a**2 - a. Let p be 1*(21/(-14))/(-3)*-26. Determine p*r(l) - b(l).
-13*l**3
Let n(y) = y + 1. Let t(x) = x + 15. Let j be t(-2). Let m(h) = -2*h - 4 - 6*h + 2 + j*h + 3. Determine -m(g) + 4*n(g).
-g + 3
Let r(k) = 3*k**2 - 18*k. Let x(g) = -g. Suppose -5*o = 20*j - 17*j - 22, 0 = -4*j - o + 1. What is j*r(q) + 18*x(q)?
-3*q**2
Let y(z) = 6*z**2 + 5*z + 4. Let w = 11 + -16. Let l(h) be the first derivative of -h**3 - 3*h**2/2 - 2*h + 650. Give w*l(f) - 3*y(f).
-3*f**2 - 2
Let w(d) be the second derivative of -d**2/2 - 2*d + 87. Let p(j) = -11*j**2 - 3. Give -2*p(l) + 6*w(l).
22*l**2
Let w be (-3 - -1)/(-2) - -7. Let i(f) = -2*f - 4. Suppose 2*r = 8*r - 36. Let x be 18/(-16 + 7)*r/4. Let m(h) = -6*h - 11. Give w*i(v) + x*m(v).
2*v + 1
Let q(x) = -x - 2. Let p = -284 + 249. Let g be (-10)/7 - (-20)/p. Let l(h) = h**2 - 2*h - 2. Calculate g*l(w) + 3*q(w).
-2*w**2 + w - 2
Let f(d) = 17*d**2 - 3*d - 2. Let i(a) = 7*a**2 - a - 1. Let p(l) = 2*f(l) - 5*i(l). Let t(n) = -13*n**3 - 6*n**2 - 7*n + 6. Give 6*p(u) - t(u).
13*u**3 + u
Let u(w) = 7*w + 4055. Let g(c) = 12*c + 8110. Calculate 3*g(t) - 5*u(t).
t + 4055
Let p(x) = -5*x - 12. Let u(i) = -6*i - 12. Suppose 0 = -55*r - 76*r - 9*r - 560. Determine r*u(v) + 5*p(v).
-v - 12
Let u(d) = -2*d**3 + 175*d - 6. Let b(q) = 6*q**3 - 529*q + 19. Give 6*b(o) + 19*u(o).
-2*o**3 + 151*o
Let x(u) be the third derivative of -16*u**2 - 2/3*u**3 - 1/30*u**5 + 1/12*u**4 + 0*u - 1. Let m(a) = 6*a**2 - 7*a + 12. Determine -2*m(o) - 7*x(o).
2*o**2 + 4
Let c(s) = 1110*s**3 - 6*s + 3. Let a(b) = -b**3 + 2*b - 1. What is -6*a(u) - 2*c(u)?
-2214*u**3
Let s(q) = -2*q - 233. Let x(w) = w + 234. What is -5*s(u) - 4*x(u)?
6*u + 229
Let z(b) = b + 17. Let p(m) = -13*m - 206. Let y(w) = 15*w + 237. Let f(n) = -6*p(n) - 5*y(n). Determine 3*f(x) - 8*z(x).
x + 17
Let o(c) = c**2 + c - 1. Let n(a) be the second derivative of -a**4/4 + 2*a**3/3 - 5*a**2/2 + 2195*a. What is -n(v) + 3*o(v)?
6*v**2 - v + 2
Suppose -85*z + 302 + 52 = 14. Let m(k) = -6*k - 4*k**2 + 9*k**2 - 3*k. Let h(n) = 14*n**2 - 26*n. Calculate z*h(d) - 11*m(d).
d**2 - 5*d
Let z(l) = l**3 + 2*l**2 - 12. Let j(r) = -30*r**3 - 6*r**2 + 2*r + 36. What is -j(x) - 3*z(x)?
27*x**3 - 2*x
Let k(v) be the first derivative of 4*v**2 + 233 - 5*v + 7/3*v**3. Let s(x) = 8*x**2 + 9*x - 6. Give -6*k(i) + 5*s(i).
-2*i**2 - 3*i
Let o(m) = -10*m + 10. Let q(k) = -k**2 - 13*k - 25. Let t be q(-11). Suppose -28 = 466*d - 461*d + 42. Let p(n) = 2*n - 2. What is d*p(r) + t*o(r)?
2*r - 2
Let f(t) = -7*t - 75. Let y(b) = -b - 10. Let j(k) = -2*f(k) + 15*y(k). Let d(h) = 80*h. Determine 3*d(z) + 210*j(z).
30*z
Let p(c) = -c**2 + c + 1. Let s(w) be the first derivative of -w**3/3 - 3*w**2/2 - 7288. What is -2*p(j) - s(j)?
3*j**2 + j - 2
Let f(s) = -4*s + 5. Let n be (-140)/21*(5 - 46/8). Let a(b) = -4*b + 5. What is n*a(c) - 6*f(c)?
4*c - 5
Let a(o) = -o**2 - 1. Let h(d) = 2*d**2 - 6*d + 1. Let q(y) = 6*y**2 - 312*y - 319. Let r be q(53). Determine r*h(k) - a(k).
-k**2 + 6*k
Let b(i) = 2*i**2 - 10*i + 3. Let y be (-1)/6 + 1830/180. Let v be -1 - ((-56)/8 + y). Let s(k) = -2*k**2 + 9*k - 2. Give v*b(r) - 5*s(r).
2*r**2 - 5*r - 2
Let l = -1 + 6. Let x(m) = 2*m - 2. Let z(t) be the second derivative of t**3/2 - 2*t**2 + 34138*t. Give l*x(d) - 2*z(d).
4*d - 2
Let r(z) = -11*z**2 - 6*z + 3. Let v(g) = -56*g - 56*g + 4*g**2 - 71*g - 1 + 185*g + 0. Calculate -6*r(x) - 17*v(x).
-2*x**2 + 2*x - 1
Let d(n) = 5*n**2 - 4. Suppose 0 = -8*c + 12*c - 16. Suppose -3*u = 3*i - 30, 3*i - i = -c*u + 28. Let x(t) = t**2 - t - 1. Give i*x(z) - d(z).
z**2 - 6*z - 2
Let q(x) be the first derivative of x**2/2 + 1. Suppose 4*p + 21 = 5*j - 8, 0 = 3*p + 3. Let a(d) = j*d**2 - 4*d - 8*d - 7*d**2. Give a(h) + 10*q(h).
-2*h**2 - 2*h
Let h be ((-86)/(41 - 84))/((-3)/((-30)/4)). Let n(y) = -3*y + 8. Let x(v) = 2*v + 0*v - 2*v + 2*v - 7. Calculate h*x(g) + 4*n(g).
-2*g - 3
Let x(q) = 25*q + 41. Let f(z) = 75*z + 134. Let j(a) = 4*f(a) - 13*x(a). Let p(m) = -8*m + 1. What is 2*j(g) - 7*p(g)?
6*g - 1
Suppose z - 2*z + 20 = 3*d, 3*z + 12 = 0. Suppose 0 = w - 3*j + d, -j = 4*w + 2*j - 13. Let q(x) = 15 - 31 - 3*x + 14. Let y(n) = n. Determine w*q(m) + 4*y(m).
m - 2
Let d = 150 + -144. Let z(n) = -n - 1. Let w(l) = -12*l + 3. Calculate d*z(p) + 2*w(p).
-30*p
Let p(a) = -12*a + 5. Let w(g) = g - 1. Let y(v) = p(v) + 5*w(v). Let o(h) = 6*h. Let j be 20/(-6)*276/230. Give j*o(m) - 3*y(m).
-3*m
Let s(m) = 4*m - 20. Let b(i) = -517. Let w(l) = -107. Let r(o) = 6*b(o) - 29*w(o). Give 12*r(v) + s(v).
4*v - 8
Let p(g) = 6*g**3 + 151*g**2 + 15*g + 12. Let j(o) = -2*o**3 - 53*o**2 - 5*o - 4. Determine 17*j(a) + 6*p(a).
2*a**3 + 5*a**2 + 5*a + 4
Let y(u) = -2*u**3 - 5*u**2 + 7*u. Let t = -414 + 229. Let f = -182 - t. Let h(s) = 2*s**3 + 4*s**2 - 6*s. Give f*y(d) + 4*h(d).
2*d**3 + d**2 - 3*d
Let c(r) = -r**2 - 3*r - 4. Let h(g) = -4*g**2 - 328*g - 15. Determine -5*c(v) + h(v).
v**2 - 313*v + 5
Let k(c) be the third derivative of -29*c**2 + 0 - 1/6*c**3 + 0*c. Let j(p) = 2*p + 6. Determine j(i) + 3*k(i).
2*i + 3
Let c(q) = 78*q - 34. Let r(v) = 52*v - 33. Give 3*c(l) - 4*r(l).
26*l + 30
Let g(h) = 17*h + 2757. Let z(l) = -42*l - 5510. Give -5*g(w) - 2*z(w).
-w - 2765
Let t(q) = -70*q + 40. Let w(d) = 28*d - 15. Give 5*t(f) + 12*w(f).
-14*f + 20
Let d(s) be the second derivative of s**3/6 - 3*