t o(a) be the third derivative of -a**3/6 - a**2. Determine j*i(w) + 5*o(w).
-3*w**2 - 1
Let s = -256 + 268. Let v(c) = -32 + 49 - s*c**2 + 11*c + c - 3*c. Let k(x) = -3*x**2 + 2*x + 4. What is 9*k(w) - 2*v(w)?
-3*w**2 + 2
Let h(i) be the third derivative of i**4/3 + i**3/3 - 2560*i**2 + 8. Let f(a) = 8*a + 3. Let o be 12/(-30) + 34/10. Calculate o*h(b) - 2*f(b).
8*b
Let g(p) = 2*p + 39. Suppose -9*k + 52*k = 129. Let f(z) = -z - 19. What is k*g(s) + 7*f(s)?
-s - 16
Let r(t) = -9*t + 12 - 20*t**2 - 12 + 7*t**2 - 14*t**2. Let s(g) = -2*g - 7*g**2 + 508 - 508. Calculate -2*r(c) + 9*s(c).
-9*c**2
Let i(x) = -x**2 - 114*x + 3146. Let b be i(-137). Let g(o) = 13*o + 6. Let v(c) = -13*c - 5. Determine b*v(y) - 4*g(y).
13*y + 1
Let w(k) = 2*k**3 + 7*k + 5. Let v(i) = 2*i**3 + 6*i + 4. Let y = -1485 + 1482. Give y*w(c) + 4*v(c).
2*c**3 + 3*c + 1
Let p(c) = 229*c + 54. Let y(s) = -76*s - 15. Calculate 2*p(r) + 7*y(r).
-74*r + 3
Let r be (5/(100/(-6)))/((-690)/(-100) + -7). Let k(z) = -9*z + 7. Let y(m) = -1. Give r*y(q) + k(q).
-9*q + 4
Let b(x) = -7*x - 21. Let m = 0 - -6. Let w = 41453 + -41442. Let k(o) = 4*o + 11. Determine m*b(t) + w*k(t).
2*t - 5
Let f(g) = 3*g**2 - 9*g. Let h(z) = -2*z**2 + 8*z. Let p(r) = 924*r + 6473. Let x be p(-7). Determine x*f(y) + 6*h(y).
3*y**2 + 3*y
Let i(a) = 27 - 23*a + 3*a**2 + 105*a**2 + 64*a**2 - 4*a - 19*a**2. Let j(d) = -22*d**2 + 4*d - 4. Give 4*i(s) + 27*j(s).
18*s**2
Let a(n) = -2*n**2 - 15*n + 1. Let u(l) = -43*l**2 - 163*l + 5. Determine -10*a(o) + u(o).
-23*o**2 - 13*o - 5
Let i(l) = -43*l + 167. Let j(z) = 651*z - 2506. Calculate -91*i(q) - 6*j(q).
7*q - 161
Suppose 5*c = 2*p + 17, -20 = -0*p + 3*p - 2*c. Let b(v) be the first derivative of 4*v + 273 + 7/2*v**2. Let a(d) = -8*d - 5. What is p*a(f) - 7*b(f)?
-f + 2
Let j(t) = -14*t**3 + t**2 + 6*t + 6. Let f(v) = -v + 1 - 74*v**3 + 27*v**3 + 25*v**3 - 2 + 21*v**3. Give 6*f(i) + j(i).
-20*i**3 + i**2
Let y(x) = -x + 3. Let j(f) = -3*f + 8. Let u(p) = 10*p + 189. Let c be u(-20). Calculate c*y(g) + 4*j(g).
-g - 1
Let j(d) = -25*d**3 - 46*d**2 - d - 6. Let y(u) = -21*u**3 - 46*u**2 - 5. What is 5*j(n) - 6*y(n)?
n**3 + 46*n**2 - 5*n
Let i(j) = 8*j + 3. Let m(k) = 97*k - 14. What is -33*i(s) + 3*m(s)?
27*s - 141
Let i(n) = n**2 + n. Let z(l) = -41867*l**2 - 35886*l. Give -35886*i(t) - z(t).
5981*t**2
Let i(d) = 399*d**3 + 11*d**2 + 3*d + 2. Let r(a) = -796*a**3 - 21*a**2 - 5*a - 3. Calculate 7*i(u) + 4*r(u).
-391*u**3 - 7*u**2 + u + 2
Let h(o) = 33*o + 22. Let f(b) = -371*b - 247. Let m(q) = 2*f(q) + 23*h(q). Suppose 5*s + 27 = 2*s. Let z(t) = 4*t + 3. Determine s*z(n) + 2*m(n).
-2*n - 3
Let g(x) = 31*x**3 + 3*x. Let p(w) = -271*w + 2462. Let r be p(10). Let k(c) = -2573*c**3 - 248*c. Calculate r*g(f) - 3*k(f).
31*f**3
Let d(q) = -10*q**3 - 4*q**2 + 14*q - 8. Let i(p) = -8*p**3 - 3*p**2 + 12*p - 7. Let s(g) = 3*d(g) - 4*i(g). Let x(f) = 2*f**3 - 5*f + 3. Give 4*s(l) - 5*x(l).
-2*l**3 + l + 1
Let y be 76/6 - (-1)/3. Let z(n) = 11*n - 9. Let i(c) = 1 + 2 - 32377278*c + 32377273*c + 1. Determine y*i(m) + 6*z(m).
m - 2
Let k(f) = -f + 2. Let v be k(13). Let s(i) = -3*i. Let m(d) be the first derivative of 7*d**2/2 - 1362. Determine v*s(g) - 6*m(g).
-9*g
Let p(k) = 3776*k**2 - 3795*k**2 + 7*k - 5*k + 4 - 6*k. Let u(t) = 115*t**2 + 23*t - 23. Determine 23*p(g) + 4*u(g).
23*g**2
Let m(g) = -34*g**3 + 20*g**2 + 2*g. Let d(t) = -69*t**3 + 42*t**2 + 5*t + 1. Determine -2*d(n) + 5*m(n).
-32*n**3 + 16*n**2 - 2
Suppose 1261 = 787*d - 2307 + 420. Let q(w) = 15*w - 19. Let m(p) = 16*p - 19. Let x(z) = -4*m(z) + 5*q(z). Let i(s) = 5*s - 9. What is d*x(l) - 9*i(l)?
-l + 5
Let v(o) = o**3 - o**2 + 2*o - 2. Let d(w) = 3*w**3 - 3*w**2 + 4*w - 5. Suppose -231 = -3*u + 2*u - 235. Give u*d(k) + 10*v(k).
-2*k**3 + 2*k**2 + 4*k
Let y(c) = 2*c + 3. Let p be y(12). Let j(n) = 7*n + 10*n - p - 2*n - 58. Let m(l) be the first derivative of l**2/2 - 6*l - 1. Calculate 6*j(h) - 85*m(h).
5*h
Let x(w) = -15*w**3 - 9*w**2 - 9*w - 4. Let r(u) = 4*u**3 + 2*u**2 + 2*u + 1. Suppose 7*t - 1 = 3*t + 5*d, -3*t = d - 34. Determine t*r(b) + 2*x(b).
6*b**3 + 1
Let c(b) = 5*b**2 - 2. Suppose -16*z + 2 + 78 = 4*z. Let k(m) = -85*m**2 + 35. What is z*k(r) + 70*c(r)?
10*r**2
Let u(l) = -4*l. Let h(f) = 7*f - 1. Suppose -2*c + 7*c = 365. Suppose -71*m - 10 = -c*m. Determine m*u(x) + 3*h(x).
x - 3
Let g(p) = -10*p**3 + 19*p**2 + 7*p - 2. Let h(a) = -8*a**3 + 18*a**2 + 6*a - 2. What is -5*g(v) + 6*h(v)?
2*v**3 + 13*v**2 + v - 2
Let d = -151 + 163. Let t(x) = 2*x**2 - 36 + 15 + 12 + 2*x + d. Suppose -a - 4 = 0, -2*p = -2*a + 6*a + 14. Let i(o) = o**2 - o + 1. Calculate p*t(u) - i(u).
u**2 + 3*u + 2
Let m(z) = -125*z**3 + 5*z**2 - 8*z. Let d(t) = 124*t**3 - 5*t**2 + 6*t. What is -4*d(l) - 3*m(l)?
-121*l**3 + 5*l**2
Let m(j) = 7*j - 6. Let r(p) = 98*p - 785. Let k be r(8). Let t(s) = -s + 1. Determine k*m(x) - 5*t(x).
-2*x + 1
Let k(n) be the second derivative of n**4/4 - n**3 + 3*n**2 - 763*n - 3. Let w(g) = 6*g**2 - 13*g + 13. Let p be (-40)/(-16)*18/5. Calculate p*k(m) - 4*w(m).
3*m**2 - 2*m + 2
Let j(l) = 264*l**3 - 15*l**2 - 16*l - 12. Let k(s) = 132*s**3 - 9*s**2 - 9*s - 7. Calculate -3*j(z) + 5*k(z).
-132*z**3 + 3*z + 1
Let u(d) = -2*d + 3146. Let h(t) = 4*t - 6253. Determine -2*h(k) - 5*u(k).
2*k - 3224
Let p(g) = -87*g - 2*g + 75*g + 5. Let u(n) = 43*n - 14. Determine 8*p(h) + 3*u(h).
17*h - 2
Let w(b) = 2*b**3 - 2*b**2 + b + 3. Let f(s) = 4*s**3 - 2*s**2 + s + 52. Give -2*f(i) + 2*w(i).
-4*i**3 - 98
Let d(v) = 5*v - 2. Let b(g) be the second derivative of 3*g**3/2 - 2*g**2 + 1437*g. Give 6*b(q) - 11*d(q).
-q - 2
Let o = 93 - 91. Let h(f) = -16 - 17 + f**o + 33. Let c(t) = -2*t - 1. Give c(b) + 2*h(b).
2*b**2 - 2*b - 1
Let n(a) = 9*a**2 + 2*a - 2. Let y(i) = 46*i**2 + 14*i - 887. Give -5*n(v) + y(v).
v**2 + 4*v - 877
Let l(r) = r**2 + r - 1. Let n(o) = -10*o**2 - 3*o + 1. Let f be 5 + 0 - (14/2 - 4). Suppose -5*d = 4*z - f*d + 18, 2*z - 4*d - 2 = 0. What is z*l(v) - n(v)?
7*v**2 + 2
Let w(c) = 3*c**2 + c - 1. Let y(z) = 7*z**2 - 616*z + 1. Give -2*w(j) + y(j).
j**2 - 618*j + 3
Suppose 5*v + 41*a - 36*a = -30, 18 = -5*v + a. Let q(u) = 10*u**3 - 3*u**2 - 3*u. Let f(b) = -11*b**3 + 4*b**2 + 4*b. What is v*q(m) - 3*f(m)?
-7*m**3
Let n(b) = 4*b**3 + 6*b**2 - 6*b. Let c(i) be the second derivative of 1/6*i**3 - 1/12*i**4 - 1/20*i**5 - 4 - 2*i + 0*i**2. What is 6*c(f) + n(f)?
-2*f**3
Let x(w) = -146*w + 1. Let n(h) = -118*h + 2. What is -8*n(c) + 6*x(c)?
68*c - 10
Let l(g) = 366*g - 30. Let m(t) = 73*t - 6. What is 4*l(w) - 19*m(w)?
77*w - 6
Let i(t) = 128*t**3 - 3*t**2 + 1. Let w(s) = -256*s**3 + 7*s**2 - 3. Determine -7*i(u) - 3*w(u).
-128*u**3 + 2
Let s(a) = -36*a**3 + 28*a**2 - 10*a. Let x(d) = d**3 - 2*d**2 + d. What is -s(i) - 10*x(i)?
26*i**3 - 8*i**2
Let z(p) = p + 5. Let d(c) = 3*c - 1. Suppose -2*i = -103 + 109. Let n(r) = -5*r - 1. Let l(a) = i*d(a) - 2*n(a). Determine -4*l(o) + 3*z(o).
-o - 5
Let b = 2292 + -2292. Let n(k) be the third derivative of b*k - 1/3*k**3 + 0 - 14*k**2 - 1/24*k**4. Let r(c) = -1. Give -n(i) + 3*r(i).
i - 1
Let d(u) = 16*u**3 - 2*u**2 - 2*u. Let s(m) = -157060*m - 35*m**2 + 157*m**3 + 116*m**3 + 157025*m. Calculate 35*d(a) - 2*s(a).
14*a**3
Let v(d) = -3*d**2 - 5. Let f(w) = 7*w**2 + 10. Suppose -1132*x - 342 = -1094*x. Calculate x*v(k) - 4*f(k).
-k**2 + 5
Let g(w) = 4*w**3 + 2*w**2 + 12. Let c(n) = -3*n**3 + n**2 - 28*n - 27. Let r(l) = -4*l**3 - 21*l - 26. Let t(z) = 3*c(z) - 4*r(z). Calculate -10*g(q) + 6*t(q).
2*q**3 - 2*q**2 + 18
Let h(w) be the second derivative of 5*w**3/6 - 19*w**2/2 + 1891*w. Let c(s) = 2*s - 9. Determine -9*c(l) + 4*h(l).
2*l + 5
Let t(c) = -156901755*c**3 + 35430*c**2 + 17715*c + 17715. Let d(p) = -17715*p**3 + 4*p**2 + 2*p + 2. What is 17715*d(b) - 2*t(b)?
-17715*b**3
Let l(n) = -n**2 - n + 4. Let f(q) = 7*q**2 + 4*q**2 + 4*q**2 - 10*q**2 + 23 - 10*q**2 - 6*q. Calculate -6*f(b) + 34*l(b).
-4*b**2 + 2*b - 2
Let l(o) = -5*o**2 + 2*o. Let i(n) = 32388*n**2 - 16197*n**2 - 16192*n**2. Let u = 25 - 23. What is u*i(c) - l(c)?
3*c**2 - 2*c
Let z(q) = -5*q**2 + 1. Let k(i) be the third derivative of -11*i**5/60 + i**3/3 - 4184*i**2. Give 2*k(w) - 5*z(w).
3*w**2 - 1
Let n = -150 + 128. Let w(d) = d**2 + 21*d - 23. Let y be w(n). Let l(o) = -o**2 - 1. L