(c).
c - 2
Let k = 971 - 976. Let p(z) = 2*z**2 + 3. Let c(m) = -4*m**2 - 1 - 2 - 1 - 2. Determine k*p(t) - 3*c(t).
2*t**2 + 3
Let d(l) = -929689*l**2 - 4676*l. Let m(t) = 4169*t**2 + 21*t. Calculate -3*d(w) - 668*m(w).
4175*w**2
Let o(b) = -4*b**2 + 2411*b + 39. Let i(y) = -6*y**2 + 3619*y + 55. Give 5*i(q) - 7*o(q).
-2*q**2 + 1218*q + 2
Suppose -3*y - 12 = -0, -5*t + 48 = -2*y. Let w(j) = -j**2 - 2*j**2 - 9*j**2 + 0*j**2 - t. Let x(d) = 4*d**2 + 3. What is -3*w(n) - 8*x(n)?
4*n**2
Let n(d) = -25*d**3 + 890*d**2 - 13*d. Let v(t) = 11*t**3 - 444*t**2 + 6*t. Calculate -4*n(j) - 9*v(j).
j**3 + 436*j**2 - 2*j
Let s(q) = q**3 + 5*q**2 + 6*q + 4. Let a be s(-4). Let r(u) = 8*u. Let m = -59880 - -59877. Let w(t) = -7*t. What is a*w(l) + m*r(l)?
4*l
Let z(k) = 6*k + 5. Let a(w) be the second derivative of -5*w**3/6 - 2*w**2 - 3706*w. What is -4*a(x) - 3*z(x)?
2*x + 1
Let n(l) = -2*l - 24. Let k(a) = 120*a - 210. What is k(m) - 8*n(m)?
136*m - 18
Let j(v) = -v - 1. Let x(h) = -23*h - 1. Let n be 74/(-629) + (27/102)/9*106. Give n*j(s) - x(s).
20*s - 2
Let o(y) = y**2 - 1. Let j(t) = -13*t**2 - 2 - 1 + t**3 + 0. Suppose -5*w - 3203 = -3268. Let n be j(w). Let x(d) = -6*d**2 + 3. Give n*o(h) - x(h).
3*h**2
Let v(j) = -110*j**2 + 61*j - 29. Let y(h) = -22*h**2 + 12*h - 5. Calculate 2*v(b) - 11*y(b).
22*b**2 - 10*b - 3
Let d(l) = 123*l - 1614. Let r(x) = 20*x - 1. Determine -d(o) + 6*r(o).
-3*o + 1608
Let f(a) be the second derivative of 0 - 38*a + 2/3*a**3 - 5/2*a**2. Let m(d) = -11*d + 14. Give -17*f(c) - 6*m(c).
-2*c + 1
Let a = 10 - 5. Let s(m) be the first derivative of -11*m**2/2 + 7*m - 43796. Let c(z) = -5*z + 3. Calculate a*c(u) - 2*s(u).
-3*u + 1
Let t(j) = 7*j**3 + 9*j**2 - 40*j + 18. Let h(c) = -c**3 - 2*c**2 + 10*c - 4. Give -18*h(x) - 4*t(x).
-10*x**3 - 20*x
Let z(s) = -s**3 + 5*s**2 + s. Let w(g) = -28*g**3 - 19*g**2 - 22*g + 2. What is -w(d) - 4*z(d)?
32*d**3 - d**2 + 18*d - 2
Let s(y) = -1939*y**2 + 16*y - 4. Let w(l) = -l**2 + 4*l - 1. What is -s(m) + 4*w(m)?
1935*m**2
Let a(v) = -8*v**2 + 11*v + 11. Let z(b) = 21*b**2 + 31*b - 1. Let m be z(3). Let r = -270 + m. Let s(u) = -3*u**2 + 4*u + 4. What is r*s(d) - 4*a(d)?
-d**2
Let v(f) = 1241*f + 10. Let i(g) = -1236*g - 12. Determine -5*i(z) - 6*v(z).
-1266*z
Let v = -4 + 5. Let b(c) = 1. Let y(f) be the second derivative of -f**3/2 - f**2/2 + 149*f. Suppose 4*g = -2*x + 22, x = -2*g - x + 16. Give g*b(s) + v*y(s).
-3*s + 2
Let j(u) = 8*u + 8. Let l(t) = -16*t - 15. Let k(s) = -5*j(s) - 3*l(s). Let m = 1869 + -1864. Let i(y) = -8*y - 6. Calculate m*i(g) + 6*k(g).
8*g
Let a(g) = 5*g**2 + 2*g**2 - 4 + 4*g - 2*g**2. Let k(v) be the first derivative of -70/3*v**3 + 55*v + 262 - 55/2*v**2. What is -55*a(q) - 4*k(q)?
5*q**2
Let c(n) = 134504*n - 1632. Let t(r) = 2989*r - 36. Calculate -3*c(u) + 136*t(u).
2992*u
Let j(r) = -r**2 + 1. Suppose -s - 620 = 5*z, z + 0*s + 100 = -5*s. Let u be (6*2/(-20))/(15/z). Let n(g) = 10*g**2 - 5. Calculate u*j(p) + n(p).
5*p**2
Let p(g) = 20*g**2 - 18*g + 18. Let t(b) = -b**2 + b - 1. Let j(l) = -10 - 8*l - 26 - 3 - 2*l + 7*l. Let r be j(-1). Give r*t(a) - 2*p(a).
-4*a**2
Let x(y) = -745*y**3 + 18*y**2 + 9*y. Let l(j) = -1490*j**3 + 40*j**2 + 20*j. Give 4*l(g) - 9*x(g).
745*g**3 - 2*g**2 - g
Let w(n) = -16*n**3 + 5. Let o(u) = -15*u**3 - u**2 + 6. Let g(f) = -f**3 - 58*f**2 - 28*f - 1626. Let t be g(-58). Determine t*o(q) + 3*w(q).
-18*q**3 + 2*q**2 + 3
Let r(j) = -346*j + 110. Let c(u) = -u + 22. Let a(n) = -5*c(n) + r(n). Let l(s) = -11*s. Give 6*a(z) - 187*l(z).
11*z
Let b(o) = 3*o**3 + 42*o**2 + 6*o. Let g(v) = -8*v**3 - 122*v**2 - 17*v. Give 11*b(z) + 4*g(z).
z**3 - 26*z**2 - 2*z
Let a(f) be the second derivative of f**4/12 + 3*f**2/2 - 41*f. Let j(r) = -r**2 + 3*r**2 + 7 - 3. Suppose 2*p = -155 + 163. Determine p*a(n) - 3*j(n).
-2*n**2
Let v(s) = 5*s**2 - 10*s - 2. Suppose -5*i + 1800*t = 1799*t - 14, 4*i - t = 10. Let c(f) = -6*f**2 + 11*f + 3. What is i*c(d) + 5*v(d)?
d**2 - 6*d + 2
Let n be -3 - (-180)/66 - (-5192)/(-484). Let k(q) be the first derivative of -q**3 - 4*q**2 + q + 1. Let c(i) = 8*i**2 + 23*i - 3. Calculate n*k(t) - 4*c(t).
t**2 - 4*t + 1
Let o(r) = -10*r**3 - 47*r**2 + 16*r. Let u(a) = 12*a**3 + 50*a**2 - 15*a. What is -7*o(z) - 6*u(z)?
-2*z**3 + 29*z**2 - 22*z
Let r(g) = -g**2 - 12. Let c(z) = -2*z**2 - 23. Suppose -8 = 5*k - 23. Let x(y) = 13042*y - 52173. Let j be x(4). Give j*r(t) + k*c(t).
-t**2 - 9
Let k(d) = 11*d**2 + 7*d - 7. Let i(y) = -2*y - 3. Let m be i(-4). Let h(t) = 17*t - 17 + 2*t**2 - 34*t + 4*t + 7 + 14*t**2 + 23*t. Give m*h(p) - 7*k(p).
3*p**2 + p - 1
Let q(l) = 1074*l**2 - 28*l. Let j(g) = -537*g**2 + 13*g. Calculate 13*j(o) + 6*q(o).
-537*o**2 + o
Let u(y) = 3*y**2 - 16*y - 115. Let s(i) = 5*i**2 - 43*i - 344. Give -3*s(g) + 8*u(g).
9*g**2 + g + 112
Suppose -10 = -2*x - 2. Let r(z) = -2*z - x + 2 - 2*z. Let w(g) = 11*g + 6. Let t = -166191 - -166199. Calculate t*r(b) + 3*w(b).
b + 2
Let a(v) = v**2 + 31*v - 1. Let c be ((-4)/2)/((-330)/6435 - 82/(-78)). Let p(k) = 2*k**2 + 32*k - 1. Determine c*p(s) + 3*a(s).
-s**2 + 29*s - 1
Let x(z) = 4966*z**3 + z**2 + 2*z - 36. Let g(p) = p**3 - p + 18. What is 2*g(f) + x(f)?
4968*f**3 + f**2
Let d(u) = 9*u**2 + 2*u. Let g(n) = 440*n**2 + 99*n. Let s be ((-32)/10 - -2)*((-4950)/(-12))/(-5). Determine s*d(k) - 2*g(k).
11*k**2
Let t(r) = -r**3 + r**2 - r + 1. Let h(c) = -c**3 - c**2 + 2*c - 5. Let b(z) = 483*z + 2897. Let m be b(-6). Determine m*h(w) - 2*t(w).
3*w**3 - w**2 + 3
Let u(k) = -8*k**2 + 2*k - 2. Let z(v) = -25*v**2 + 6*v - 7. Let r = -370 + 357. Let s(f) = f**2 + 13*f + 2. Let h be s(r). Calculate h*z(d) - 7*u(d).
6*d**2 - 2*d
Let k(s) = 9*s**2 + 20*s - 27. Let q(p) = 5*p**2 + p - 2. What is k(i) - 2*q(i)?
-i**2 + 18*i - 23
Let v(g) = 6*g - 50. Let q be 1176/(-119) - 2/17. Let f(s) = 2*s - 17. What is q*f(i) + 3*v(i)?
-2*i + 20
Suppose 0 = 8*j - 3066 - 214. Let o = j + -409. Let c(z) = -1. Let g(r) = r + 3. Determine o*g(p) + c(p).
p + 2
Let p(u) = 4*u**3 + 14*u**2 + u + 795. Let x(o) = -7*o**2 - o. Calculate -p(k) - 2*x(k).
-4*k**3 + k - 795
Let n(a) = 136*a**2 + 17*a. Let m(h) = -17*h**2 - 2*h. Suppose -3*s = -18, 5*i - 77 - 26 = -3*s. Give i*m(z) + 2*n(z).
-17*z**2
Let q(d) = 79*d - 157. Let c be q(2). Let z(h) = h**2 - h - 1. Let a(r) = -4*r**2 + 5*r + 3. Calculate c*a(j) + 2*z(j).
-2*j**2 + 3*j + 1
Suppose -6*g + g + 1 = 3*p, -4*p - 16 = -2*g. Let r(k) = 25*k**2 + 9*k + 11. Let m(o) = -6*o**2 - 2*o - 3. Calculate g*r(d) + 9*m(d).
-4*d**2 - 5
Let b(w) = -w**3 - 3*w + 2. Let n(p) = 0 + 19 + 18*p - 21*p + 3*p**2 + 29*p**3 - 30*p**3. Let k be n(3). Let y(c) = 2*c**3 + 5*c - 3. Calculate k*b(h) + 6*y(h).
2*h**3 + 2
Let x(u) = -107*u**3 - 6*u**2 - 8*u + 29. Let i(b) = 215*b**3 + 11*b**2 + 15*b - 53. Calculate 6*i(h) + 11*x(h).
113*h**3 + 2*h + 1
Let r(l) be the third derivative of l**5/6 - l**3/2 + 2657*l**2. Let o(y) = 1. What is -3*o(c) - r(c)?
-10*c**2
Let s(z) = -5275*z**2 - 9*z - 3. Let r(y) = 10552*y**2 + 15*y + 5. Calculate 3*r(o) + 5*s(o).
5281*o**2
Let x(b) = -8404*b**2 - 396*b. Let u(i) = -2101*i**2 - 96*i. Give 33*u(z) - 8*x(z).
-2101*z**2
Let g(y) = -62*y**2 - 9*y - 4. Let s(t) = 23*t**2 + 3*t + 2. Let f(p) = 4*g(p) + 11*s(p). Let x(q) = -11*q**2 + 5*q - 13. Give -13*f(r) - 6*x(r).
r**2 + 9*r
Let r(z) = -510*z**2 - 2*z + 10. Let t(a) = -2040*a**2 - 9*a + 44. What is 9*r(f) - 2*t(f)?
-510*f**2 + 2
Let o(r) = 39*r - 195. Let s(g) = 13*g - 70. What is -6*o(h) + 17*s(h)?
-13*h - 20
Let s(q) = q**2 - q - 1. Let l = 832 - 815. Let b(r) = -34*r**2 + 17*r + 17. Determine l*s(k) + b(k).
-17*k**2
Suppose 3*p - a + 36 = 0, 2*p + 2*a + 18 = -6. Let n = p - -14. Let f(q) = q**3 + 2*q + 2. Let l(m) = 13*m - 3 - 10*m + 6. What is n*l(v) - 3*f(v)?
-3*v**3
Let n(v) = 42*v**2 - 5*v + 26. Let x(o) = -o - 3. Calculate n(p) - 2*x(p).
42*p**2 - 3*p + 32
Let n(m) = -10*m**3 + 7*m**2. Suppose 4*c - 4*z = -32, 3*c = -13*z + 17*z - 31. Let h(q) = q**3 + q**2. Calculate c*n(d) + 6*h(d).
16*d**3 - d**2
Let v(d) = 3*d**3 + d**2 + 4*d + 4. Suppose 5*l - 60*l = -110. Let c(n) = 2084*n**3 - 1 + 5*n + 6 + l*n**2 - 2080*n**3. Give 4*c(i) - 5*v(i).
i**3 + 3*i**2
Let q(g) = -3*g - 52. Let s be q(-20). Let d(u) = -38*u**3 - 8*u**2 + 8*u - 8. Let n(p) = -25*p**3 - 5*p**2 + 5*p - 5. Calculate s