a).
a**2 + 236*a
Let y(p) = -p + 1. Let d be (84/24)/(1/4). Let m = -10 + d. Let z(v) = -3*v**2 + 2*v - 2. Determine m*y(q) + z(q).
-3*q**2 - 2*q + 2
Let z(y) = 66600*y**3 - 425*y - 425. Let b(v) = -938*v**3 + 6*v + 6. Give -425*b(h) - 6*z(h).
-950*h**3
Let p(s) = -2*s - 7. Let h = 0 + 6. Let j(a) be the third derivative of a**3/6 + 326*a**2 - 2. Determine h*j(y) + p(y).
-2*y - 1
Let d(u) be the second derivative of -25*u**4/12 - 2*u**3/3 + 101*u - 1. Let t(y) = -399*y**2 - 63*y. Determine 63*d(p) - 4*t(p).
21*p**2
Let u(q) = 3*q**3 + q**2 + q. Let d = -139 + 140. Let t be (-24)/(-8)*d/(-3)*1. Let v(r) = -r. What is t*u(i) - 3*v(i)?
-3*i**3 - i**2 + 2*i
Let c(q) = q**2 - q - 1. Let o(w) = -4*w**2 - 14*w + w**2 + 12 + 2*w**2 + 8*w. Let s be o(-8). Let g(j) = -j**3 - 4*j**2 + 6*j + 1. What is s*c(l) - g(l)?
l**3 - 2*l + 3
Let p(l) = -12*l + 1. Let s(b) = 1069*b + 2. Calculate 4*p(c) - s(c).
-1117*c + 2
Let j(o) = -2*o**2 + 0*o + 0*o. Let v(z) be the first derivative of 5*z**3/3 + 1185. Determine 11*j(r) + 4*v(r).
-2*r**2
Let r(u) = -7*u**3 - 6*u**2 + 5*u + 7. Let q(f) = 8*f**3 + 7*f**2 - 6*f - 8. Calculate -5*q(n) - 6*r(n).
2*n**3 + n**2 - 2
Let u(o) = -2*o**2 + 4*o + 7. Let s(c) = 4*c**2 - 9*c - 15. Let i = -137 - -146. Calculate i*u(f) + 4*s(f).
-2*f**2 + 3
Let x(n) = -n**2. Let p(j) be the second derivative of -j**3/6 + j**2/2 + j. Suppose 3*s + 5*q - 11 = 0, -3*s + 5*q - 25 = -26. What is s*x(k) + p(k)?
-2*k**2 - k + 1
Let g(n) = -n - 1. Let w(a) = 330*a - 5. Give -4*g(k) + w(k).
334*k - 1
Let b = 11 - 17. Let g be (4/b)/(4/6). Let a(y) = -y - 1. Let o be ((-72)/(-21))/((-230)/(-70) - 3). Let u(f) = -15*f - 12. Give g*u(t) + o*a(t).
3*t
Let c(l) = -l**3 - l. Let o(g) = 8*g**3 - 10*g. Determine -3*c(d) + o(d).
11*d**3 - 7*d
Let i(l) = -5*l**2 + 2*l + 5. Let t(d) be the first derivative of 14*d**3/3 - 7*d**2/2 - 14*d + 187. Give -8*i(f) - 3*t(f).
-2*f**2 + 5*f + 2
Let u(v) = -4*v**2 + 2*v. Let b(k) be the third derivative of -k**5/60 - k**4/24 - k**3/6 - 161*k**2. Calculate b(s) + u(s).
-5*s**2 + s - 1
Let k(x) = 1615*x**3 - 3*x**2 - 10*x. Let p(b) = 807*b**3 - 2*b**2 - 6*b. What is 3*k(g) - 5*p(g)?
810*g**3 + g**2
Let j(o) = o + 2. Let x = 1 - 4. Let r(i) be the second derivative of -i**3/3 - 3*i**2 - i. Let g = -4177 + 4169. Determine g*j(p) + x*r(p).
-2*p + 2
Let a(f) be the second derivative of -f**4/8 + 2*f**3/3 - 7*f**2 - 14*f. Let w(k) be the first derivative of a(k). Let l(r) = -10*r + 13. Give 2*l(x) - 7*w(x).
x - 2
Let j(l) = -3*l + 4. Let b(c) = 4*c - 5. Let x be 41/3 - (-2)/(-3). Suppose 2*s + 0*s = 5*g + x, 0 = -g + s - 2. What is g*j(f) - 2*b(f)?
f - 2
Let a(c) = 3*c + 4. Let o(f) = -f + 1. Let r be 1/6 + (-156)/72. Let g = -3 - r. Let u(h) = -2*h - 7. Let w(t) = g*u(t) - 2*o(t). Determine -3*a(j) + 2*w(j).
-j - 2
Suppose 106*q - 12 = 104*q. Let h(o) = -11*o + 29. Let y(f) = -4*f + 10. Give q*h(m) - 17*y(m).
2*m + 4
Let a(t) = -t. Let r(k) = 17*k**2 - 5*k + 3. Calculate -3*a(h) + r(h).
17*h**2 - 2*h + 3
Let g(d) = -d**3 - 57*d**2 - 258*d + 97. Let a be g(-52). Let s(o) = -13*o + 7. Suppose -9 + 1 = -2*z. Let p(y) = y - 7*y + z - y. Calculate a*p(r) + 4*s(r).
-3*r
Suppose -4*q - 13 = 3*c, 0 = 4*q - 0*q - c + 1. Let v(l) = l**2 + l - 1. Let i(b) = 4*b**2 + 2*b - 2. Let m be -1 + 0 + 4 + -1. Give m*v(s) + q*i(s).
-2*s**2
Let l(c) = 14*c**2 - 5*c + 8. Let p(m) = -3 + 2 + 5 - 2*m - 1 + 5*m**2. Let g(f) = -4*l(f) + 11*p(f). Let v(z) = -6*z**2 - 11*z + 5. Determine 11*g(n) - 2*v(n).
n**2 + 1
Let p(f) = -21*f**2 - 13*f - 9. Suppose -13*r + 5*r - 72 = 0. Let h(k) = 5*k**2 + 3*k + 2. Let b be (-8)/2 + -1 + 3. Calculate b*p(d) + r*h(d).
-3*d**2 - d
Let n(v) = 4*v**3 + 5*v**2 - 2*v - 2. Let z(u) be the second derivative of 0*u**3 + 0*u**2 + 0 - 14*u - 1/20*u**5 - 1/12*u**4. What is n(c) + 5*z(c)?
-c**3 - 2*c - 2
Let d(j) = 6*j**3 - 2*j**2 + 6*j + 1. Let s(b) = 11*b**3 - 4*b**2 + 12*b + 1. Determine 7*d(r) - 4*s(r).
-2*r**3 + 2*r**2 - 6*r + 3
Let f(k) = 6*k**3 - k**2 - 3*k - 1. Let p(n) = 126*n + n**3 - 389*n + 130*n + 132*n. What is 2*f(i) - 6*p(i)?
6*i**3 - 2*i**2 - 2
Let h(p) = -7*p**3 - 7*p + 5. Let b(i) = -20*i**3 - 20*i + 16. What is 6*b(t) - 17*h(t)?
-t**3 - t + 11
Let o(i) = i - 6. Let n be o(5). Let a(q) = 6*q**2 + 7*q + 2. Let v(b) = 14*b - b**2 - 20*b + 5*b. What is n*a(p) - 5*v(p)?
-p**2 - 2*p - 2
Let f(s) be the second derivative of 3*s**5/4 - s**4/6 - s**3/3 + s**2 - 910*s. Let z(d) = -29*d**3 + 5*d**2 + 5*d - 5. What is -5*f(w) - 2*z(w)?
-17*w**3
Let y(v) = -v**2 + 8 - 7*v - 4*v - 17. Let r(f) = -f - 1. What is -22*r(m) + 2*y(m)?
-2*m**2 + 4
Let o(b) = 2*b**2 + 1. Let s be (-2898)/(-574) - (-4)/(-82). Let k(q) = q**2 + 1. Determine s*k(l) - 4*o(l).
-3*l**2 + 1
Let a(s) = 3*s - 2. Let p(t) = -t + 2. Determine a(i) + 6*p(i).
-3*i + 10
Let r(g) = -1400 + 11*g + 698 + 703. Let l(c) = 12*c + 1. Determine -6*l(v) + 7*r(v).
5*v + 1
Let f be 5*(-3)/(-30)*106. Let y(w) = 0*w - w - 57 + f. Let u(j) = 2*j + 9. Determine 2*u(t) + 5*y(t).
-t - 2
Let k(z) = z - 4. Let v(n) = -6*n**2 + 32*n - 5. Let m be v(5). Let g be 3/18 + m - (-3)/(-18). Let b(t) = 2*t - 9. Calculate g*k(w) - 2*b(w).
w - 2
Let w(k) = -k + 1. Let m(a) be the second derivative of -5*a**4/12 + a**3/2 - 3*a**2/2 + a - 1. Calculate -m(n) - 3*w(n).
5*n**2
Let v(u) = u - 1. Let k(b) = -3*b + 4. Let x = -41 - -44. Let p(l) = 4*l - 3. Let z(w) = x*p(w) + 2*k(w). Calculate -3*v(q) + z(q).
3*q + 2
Let i(f) = 20*f**2 + 2*f - 4. Let h(w) = 11*w**2 + 2*w - 2. Let o(v) = 5*h(v) - 3*i(v). Let a(z) = 4*z**2 - 3*z - 2. Determine -6*a(p) - 5*o(p).
p**2 - 2*p + 2
Let r(o) = 5*o**3 - 3*o**2 + 2*o - 3. Let x(d) be the second derivative of -7*d**5/10 + 3*d**4/4 - d**3 + 4*d**2 + 173*d. Calculate 8*r(h) + 3*x(h).
-2*h**3 + 3*h**2 - 2*h
Let k(i) = -306*i**2 - 10*i - 11. Let g(t) = -61*t**2 - 2*t - 2. Give 11*g(l) - 2*k(l).
-59*l**2 - 2*l
Let d(a) = 3*a + 0 + 5 + 0 - 2. Let x(k) = 7*k + 6. Calculate -5*d(i) + 2*x(i).
-i - 3
Let q(b) = -3*b**2 + 21*b - 9. Let s be q(6). Suppose -s*l + 18 = -0*l. Let n(g) = -3*g - 10. Let p(z) = -z - 3. What is l*n(t) - 7*p(t)?
t + 1
Let v be -12*(-3 - 25/(-10)). Let d(p) = 5 + v + 45*p**3 + 44 - 55*p + 55*p**2. Let b(n) = -5*n**3 - 6*n**2 + 6*n - 6. Calculate -55*b(w) - 6*d(w).
5*w**3
Let p(v) be the first derivative of -5*v - 312. Let x(w) = -w - 16. Give 7*p(g) - 2*x(g).
2*g - 3
Let d = 35 - 34. Let u(w) = 2*w - 6. Let v(h) = -h**2. Let l(m) = d*u(m) + 6*v(m). Let f(x) = -x**2 + x - 1. Calculate 4*f(n) - l(n).
2*n**2 + 2*n + 2
Let f(s) = 33 - 12 + s - 19 - 3 + s**2. Let h(i) = -9*i**3 + 9*i**2 + 9*i - 9. Give 9*f(z) - h(z).
9*z**3
Let y(d) = -27*d**2 - 18*d - 20. Let c(k) = 7*k**2 + 4*k + 5. What is 9*c(o) + 2*y(o)?
9*o**2 + 5
Let b be 3/(-8) - 76/(-32). Let o(x) = -x - 1. Let h(u) = 3*u - 3. Let c(a) = 5*a - 5. Let i(t) = -5*c(t) + 8*h(t). Determine b*o(d) - i(d).
-d - 3
Let l(d) = -d**3 + 2*d**2 + 1. Let z(m) = -6*m**3 + 5*m**2 - 206*m + 4. What is -4*l(n) + z(n)?
-2*n**3 - 3*n**2 - 206*n
Let a(c) = -c - 2. Let d(p) = 5*p - 387. Determine -2*a(v) - d(v).
-3*v + 391
Let n(f) = 13 - 6 + 8*f + 10. Let q(s) = -s - 1 - 7 - 4. Let u(d) = -d - 6. Let a(r) = -2*q(r) + 5*u(r). What is -17*a(i) - 6*n(i)?
3*i
Let a be 3 + (-3)/3 + 0. Let b(d) = 4*d**2 + d**a + 3 + 3. Let s(y) = -9*y**2 - 11. Let w(c) = c**2 - 16*c + 44. Let k be w(5). Calculate k*b(o) - 6*s(o).
-o**2
Let a(z) = 3*z**3 + 4*z**2 + 950. Let y(h) = 4*h**3 + 6*h**2 + 951. What is -3*a(s) + 2*y(s)?
-s**3 - 948
Let z = -65 + 70. Suppose w = z*x + 3 - 17, -3*x - w = -10. Let l(i) = 2*i**3 + 4*i**2 - i - 1. Let t(k) = -2*k**3 - 3*k**2 + k + 1. Give x*l(b) + 4*t(b).
-2*b**3 + b + 1
Let s(y) = 4*y - 3. Let w(j) = 3. Let r(l) = 4. Let c(t) = 5*r(t) - 7*w(t). Calculate -5*c(x) + s(x).
4*x + 2
Let g(i) = -i**2 + i - 1. Let y(d) = 6*d**2 - 4*d + 5. Suppose -n + 5*h = 19, 0*n - 2*n - 5*h = -22. Calculate n*y(l) + 4*g(l).
2*l**2 + 1
Let p(x) = -x - 1. Let t(w) be the first derivative of w**3/3 - 3*w**2/2 - 4*w - 130. Give -3*p(c) + t(c).
c**2 - 1
Let o(q) = -66*q + 9. Let s(u) = 68*u - 11. What is 3*o(h) + 2*s(h)?
-62*h + 5
Let b(p) = 6*p + 8. Let j be b(-4). Suppose 2*x - 1 = 3. Let a(d) = 0*d**2 + d**2 - 3*d**2 + 0*d**x. Let i(r) = 10*r**2. Determine j*a(f) - 3*i(f).
2*f**2
Let a(x) = -2*x**2 - 2*x + 4. Let s be (-