b).
-4*b**3 - 2*b**2
Let z(w) be the second derivative of -7*w**5/20 - w**4/2 + 3*w**2 - 160*w - 11. Let h(u) = -8*u**3 - 5*u**2 + 7. Give -6*h(n) + 7*z(n).
-n**3 - 12*n**2
Let q(r) = -r - 1. Suppose -4*b + 652 = 4*v, -5*b + 783 = -3*v - 0*v. Let l(m) = 6*m + b + 156 - 309. Give -l(t) - 5*q(t).
-t - 1
Let j(v) = -v + 1. Let c(n) = n. Let k(p) be the second derivative of -p**5/20 + p**4/3 + p**3 - 3*p**2 + 131*p. Let b be k(5). What is b*j(l) + c(l)?
2*l - 1
Let m be 6/(-1 - (-132)/96). Let h(t) = 8*t**2 + 3*t - 3. Let b(r) = 19*r**2 + 7968*r + 16 - 7984*r - 59*r**2. What is m*h(n) + 3*b(n)?
8*n**2
Let y be (-11778)/(-1690) + (-104)/(-3380). Suppose -2*d + 1 + 10 = -5*u, d - 5*u - 8 = 0. Let b(i) = 5*i + 1. Let t(a) = -10*a - 2. Give d*t(m) + y*b(m).
5*m + 1
Let n(l) = -3*l + 4. Let k(r) = -1458*r + 216. What is -2*k(x) + 108*n(x)?
2592*x
Let k(z) = -144*z. Let q be -362 + 1 + -4 + 6. Let c = -422 - q. Let a(y) = -9*y. Determine c*a(s) + 4*k(s).
-9*s
Let q(i) = i. Let u(d) = d - 167. Let s(g) = -g + 223. Let o(z) = -3*s(z) - 4*u(z). What is -3*o(r) + 3*q(r)?
6*r + 3
Let v(p) = p**2 + 12*p - 12. Let r(o) = -o**3 - 3*o**2 - 37*o + 34. Calculate -6*r(b) - 17*v(b).
6*b**3 + b**2 + 18*b
Suppose 76*g + 11*g + 139 = -52*g. Let h(o) = -o. Let s(x) = 7*x + 3. Determine g*s(l) + 3*h(l).
-10*l - 3
Suppose -4*h = -3*p - 11 - 7, -30 = 5*p - 4*h. Let m(c) = c**2 - c + 1. Let k(f) = 5 + 4*f**2 + 18*f**2 - 8*f - 14*f**2 + 2. Give p*m(r) + k(r).
2*r**2 - 2*r + 1
Let r(i) = -i**2 - 1. Let y be r(2). Let s be (7/(-2))/((-20)/40). Let d(w) = -3*w + 9. Let p(f) = -5*f + 13. Determine s*d(q) + y*p(q).
4*q - 2
Let a(f) = 69*f**3 - 19*f**2 - 7*f. Let x(n) = 275*n**3 - 80*n**2 - 31*n + 1. Determine 9*a(c) - 2*x(c).
71*c**3 - 11*c**2 - c - 2
Let x(c) = -3196*c**2 + 187*c. Let f(h) = -68*h**2 + 4*h. Let o(r) = -r**3 + 5*r**2 - 205*r + 1645. Let w be o(8). Give w*f(a) + 4*x(a).
-68*a**2
Let r(c) = -5*c**2 + 2*c + 2. Suppose -21*t = -24*t + 9. Suppose -5*g = -2*u + 2, 2*g + t - 11 = 3*u. Let b(n) = -21*n**2 + 9*n + 9. Give g*b(x) + 9*r(x).
-3*x**2
Let w(g) = g + 1. Let l(t) = 0*t + 36*t + 8 - 30*t - 3*t. Determine l(o) - 5*w(o).
-2*o + 3
Let r(s) = s**2. Let g be ((-32)/6 - 8/(-6)) + 208. Suppose -43*n + 9*n = g. Let v(l) = 2*l**3 - l + 0*l - 4*l**2 + 11*l**2. Determine n*r(c) + v(c).
2*c**3 + c**2 - c
Let k(c) = -121*c + 4287. Let t(b) = -69*b + 2143. Calculate 4*k(x) - 7*t(x).
-x + 2147
Let h(q) = -q - 2. Let w(i) = -3*i + 3*i - 1 - i. Suppose -6*s - 1 = -5*s, 2*a - 2 = -4*s. Let v be a - 10 - 10/(-2). Determine v*w(y) + h(y).
y
Let a(r) = -9*r**3 + 18*r**2 + 66*r + 7. Let l(d) = -4*d**3 + 10*d**2 + 30*d + 3. Give 5*a(q) - 11*l(q).
-q**3 - 20*q**2 + 2
Let i(z) = -6*z + 225. Let r(w) = 5*w - 79. Calculate 6*i(d) + 17*r(d).
49*d + 7
Let x(t) = -33*t**2 - 100*t + 21. Let p(s) = -17*s**2 - 56*s + 11. Determine 11*p(a) - 6*x(a).
11*a**2 - 16*a - 5
Let k(j) be the second derivative of -5*j**3/2 - 9*j**2/2 - 8*j + 232. Let n(x) = 8*x + 4. What is -6*k(b) - 11*n(b)?
2*b + 10
Let q be (1/2)/((-2)/24). Let b(j) = -j**2 + j. Let g(u) = 4*u**3 - 6*u. Calculate q*b(i) - g(i).
-4*i**3 + 6*i**2
Let w(r) = -3*r - 1. Suppose -15*t - 30*t + 13*t = -192. Let v(g) be the second derivative of -7*g**3/6 - g**2 - 7*g. Calculate t*v(a) - 13*w(a).
-3*a + 1
Let y(t) = -2*t + 8454*t**2 + 2 - 3*t**3 + t - 8453*t**2. Let m(a) = a + 1. Let j be m(-3). Let k(n) = 4*n**3 - n**2 + 2*n - 3. Determine j*k(o) - 3*y(o).
o**3 - o**2 - o
Let f(s) = -45*s - 801. Let t(d) = -16*d - 267. Give -6*f(j) + 17*t(j).
-2*j + 267
Let x(n) = 3*n**3 - 10*n**2 + 6*n + 662. Let o(w) = -w**3 + 3*w**2 - w + 7. Determine -4*o(y) - x(y).
y**3 - 2*y**2 - 2*y - 690
Let y(j) = 37*j**2 - 3*j + 3. Let g(r) = 79 + 850*r**2 + 1345*r - 1413*r - 11. What is 3*g(z) - 68*y(z)?
34*z**2
Let v(w) = -5*w - 293. Let t(m) = 9*m + 638. Calculate -6*t(y) - 13*v(y).
11*y - 19
Let a be 0 - (5 + -1) - -1. Let v(s) = -7*s. Let i(h) = 2*h. Let x(g) = -22*i(g) - 6*v(g). Let n(z) = -2*z. Let p = -3182 + 3184. Calculate a*n(l) + p*x(l).
2*l
Let b(v) be the first derivative of -v**3/3 + 41. Let u = -32 - -67. Suppose 11 - u = -4*m. Let f(y) = 5*y**2. Calculate m*f(i) + 35*b(i).
-5*i**2
Let y(v) = 6*v - v - v. Let x(i) = 15*i. Suppose 0 = 2*a - 7*a - 70. Suppose 449*q = 429*q + 80. What is a*y(k) + q*x(k)?
4*k
Let s(b) = -20*b**3 - 8*b**2 - 9. Let r(q) = 7*q**3 + 3*q**2 + 3. Let c = -900 - -902. Suppose 4 = -2*y + c*z - 6, -3 = 3*y + 3*z. Calculate y*s(m) - 8*r(m).
4*m**3 + 3
Let v(s) be the third derivative of -s**6/60 - 7*s**5/60 + 3*s**3/2 + 3053*s**2. Let y(g) = 6*g**3 + 20*g**2 - 26. What is 17*v(q) + 6*y(q)?
2*q**3 + q**2 - 3
Let m(j) = j**3 + j**2 + 4*j - 1. Let l(q) = 67*q**3 + 6*q**2 + 7*q + 11. Let d(n) = -l(n) + 6*m(n). Let x(k) = 10*k**3 - 3*k + 3. Determine 6*d(b) + 34*x(b).
-26*b**3
Let k(g) = -19*g + 206. Let z(h) = -7*h + 105. Determine 3*k(t) - 7*z(t).
-8*t - 117
Let u(h) = -h + 5. Let o(r) = -r - 1. Let x be 198/165 - (9/15)/3. Give x*u(t) + 4*o(t).
-5*t + 1
Let q(o) be the second derivative of -o**3/6 + 15*o**2/2 - 5*o. Let n be q(14). Let b(s) = -s - 2. Let r(k) = -1. Give n*r(p) - b(p).
p + 1
Suppose 186*y - 481*y - 1475 = 0. Let o(h) = 2*h**3 - 2*h**2 - 1. Let m(q) = -4*q**3 + 5*q**2 + q + 1. What is y*o(t) - 2*m(t)?
-2*t**3 - 2*t + 3
Let c = -13391 - -13396. Let g(o) = -10*o**3 - 2*o + 14. Let x(w) = 7*w**3 + w - 9. Determine c*g(k) + 7*x(k).
-k**3 - 3*k + 7
Let h(c) = -3*c - 8. Suppose -49*z + 272 = 909. Let q(d) = 6*d + 17. What is z*h(i) - 6*q(i)?
3*i + 2
Let o(h) = 3*h + 6*h - 4*h. Suppose 2*b = -b + 27. Let k(c) = -21*c - 1. Let t be 10/190 + (-370)/(-38)*(-40)/(-200). Calculate b*o(n) + t*k(n).
3*n - 2
Let o(q) = -q**2 + q - 1. Let p = 128215 - 128216. Let s(l) = -6 + 14 - 7*l + 2*l**2 + 3*l**2. What is p*s(y) - 6*o(y)?
y**2 + y - 2
Let z(f) = -2*f**3 + 17*f**2 - f - 34. Let v be z(8). Let x(l) = -11 + 11*l - 4*l**3 + l**3 - v*l. Let s(t) = -t**3 - 4*t - 4. Calculate -11*s(c) + 4*x(c).
-c**3
Let d(q) = 4*q**2 - 3*q - 392. Let v(x) = -13*x**2 + 8*x + 1176. Determine -8*d(b) - 3*v(b).
7*b**2 - 392
Let u(d) = -3*d + 4. Let v be 224/(-1792) + (-62)/16. Let q(y) = 6*y - 7. Calculate v*q(f) - 7*u(f).
-3*f
Let c(u) = 2*u**2 - 4. Let t(p) = 29*p**2 - p + 13. Determine 3*c(v) + t(v).
35*v**2 - v + 1
Suppose 122*h = 137*h - 75. Let d(u) = -7*u + 13. Let s(l) be the first derivative of 3/2*l**2 - 12 - 6*l. Calculate h*s(f) + 2*d(f).
f - 4
Let j(b) = 21*b - 2317. Let g(t) = 159*t - 16218. Calculate 2*g(h) - 15*j(h).
3*h + 2319
Let y(u) = -41*u**2 + 6. Let m(o) = 6104*o**2 - 896. What is 3*m(r) + 448*y(r)?
-56*r**2
Let a(b) = -498*b + 37. Let g(p) = -496*p + 45. What is 6*a(o) - 5*g(o)?
-508*o - 3
Suppose -19 = 3*d + 2. Let r(g) = 6*g + 6. Let s be -10 - (16/7*-2 - (-213)/(-497)). Let t(p) = -4*p - 4. Determine d*t(q) + s*r(q).
-2*q - 2
Let s(n) = -8*n. Let q = -4 - -8. Let h = -252 + 367. Let r = h + -116. Let o(k) = -k. What is q*o(b) + r*s(b)?
4*b
Let k(c) = -63*c**2 + 54*c + 70. Let q(s) = 21*s**2 - 19*s - 24. What is -6*k(m) - 17*q(m)?
21*m**2 - m - 12
Let p(n) = 366*n + 1862. Let b(t) = -209*t - 932. What is -7*b(a) - 4*p(a)?
-a - 924
Let c(v) = -v. Let n be c(-2). Let w(o) = o**2 - o + 10. Let x = -55 + 55. Let u(g) = 4 - 4 + x - 1. Give n*w(z) + 22*u(z).
2*z**2 - 2*z - 2
Let p be (-304)/(-5)*240/96. Let g(c) = 62 - p + 79 - 13*c. Let v(k) = -7*k - 6. Calculate -3*g(l) + 5*v(l).
4*l + 3
Let q(w) = -w**2 - 2*w + 4. Let k(z) = 179*z - 530. Let v be k(3). Let t(r) = -2*r**2 - 3*r + 7. Suppose 0 = 15*s - 1 + 61. Calculate s*t(f) + v*q(f).
f**2 - 2*f
Let l(g) = 5*g + 6. Let z be 3 + -9*(-2)/(-3). Let v(d) = -2*d - 2. Let t be (-20)/(-6)*(-108)/45. Give t*v(n) + z*l(n).
n - 2
Let b(c) = 3*c**3 + 6*c**2 - 76*c - 6. Let w(k) = -6*k**3 - 15*k**2 + 150*k + 15. Give 5*b(s) + 2*w(s).
3*s**3 - 80*s
Let h be (-1 - 0)*-22*-1. Let m = 3163 - 3169. Let d(b) = 3*b + 3. Let c(o) = -12*o - 11. Give h*d(n) + m*c(n).
6*n
Let f(u) = 6*u**2 + 5. Let c(x) = -75*x**2 - 4*x - 17. Determine c(w) + 4*f(w).
-51*w**2 - 4*w + 3
Let v(z) = 3*z**2 - 2*z + 1. Let t = -67 - -103. Let g = 39 - t. Suppose -5*o = g*o - 8. Let n(p) = p**2. Calculate o*v(x) - 4*n(x).
-x**2 - 2*x + 1
Let l(u) = -5*u**3 - 6*u**2 + 6*u + 3. Let m(r) = -50*r**3 - 5*r - 26*r**3 + 80*r**3 + 