(b).
2*b**2
Let x(b) be the first derivative of b + 1/3*b**3 + 1 + 0*b**2. Let c(i) = 3*i**2 + 4. Let p(w) = w**3 - 30*w**2 - w + 31. Let m be p(30). Give m*c(d) - 4*x(d).
-d**2
Let f(q) = -q**3 + q**2 - 1. Let g(w) = -5*w**3 + 2*w**2 - 6. Let j = 15 + -6. Suppose -s = 3*k - 17, 2*k - 6*k - j = -5*s. What is k*f(r) - g(r)?
r**3 + 2*r**2 + 2
Let q(n) = n + 1. Let g(c) = 5*c - 2. Determine -g(x) - 4*q(x).
-9*x - 2
Let z(p) = p**2 + 9*p + 15. Let w be z(-5). Let a(u) = -4*u**2 + 5*u - 5. Let n(k) = -4*k**2 + 6*k - 6. Give w*n(m) + 6*a(m).
-4*m**2
Let c(x) = -x**3 - x**2 + x - 1. Let k(s) = 13*s**3 + 4*s**2 - 4*s + 4. Determine -4*c(t) - k(t).
-9*t**3
Let s(z) = 14*z**2 - 2*z + 2. Let v(c) = 141*c**2 - 21*c + 21. Determine 42*s(p) - 4*v(p).
24*p**2
Let d = 5 - 14. Let l(z) = 6*z + 4. Let f(r) = 17*r + 5. Let b(k) = -16*k - 6. Let s(y) = -4*b(y) - 3*f(y). Let a = 4 + 0. What is a*s(q) + d*l(q)?
-2*q
Let w(k) be the second derivative of -5/12*k**4 - k + 0 + 1/10*k**5 - k**2 - 5/6*k**3. Let v(z) = -z**3 + 3*z**2 + 3*z + 1. Determine -10*v(i) - 6*w(i).
-2*i**3 + 2
Let d(v) = -v + 5. Let w(u) = u**3 - 3*u**2 - 4*u + 4. Let z be w(3). Let q(f) = -2*f + 8. Calculate z*d(s) + 5*q(s).
-2*s
Let y(s) = 7*s + 1. Let p(w) = 8*w + 1. What is -4*p(q) + 5*y(q)?
3*q + 1
Let n(o) = 18*o. Let d(m) = -m. Determine 126*d(b) + 6*n(b).
-18*b
Let k(z) = z**2 + z. Let c(r) = 45*r**2 + r. Give 2*c(s) - 2*k(s).
88*s**2
Let o(d) = -115*d + 11. Let z(l) = -23*l + 2. What is -2*o(k) + 11*z(k)?
-23*k
Let h(c) = c**3 + c**2 + c - 1. Let u(k) = -4*k**3 + k**2 - 1. What is -h(t) + u(t)?
-5*t**3 - t
Let o(s) = 32*s + 4. Let t(x) = 63*x + 7. Determine 7*o(m) - 4*t(m).
-28*m
Let z(k) be the second derivative of k**5/20 - k**4/12 - k**3/6 - 8*k. Let x(h) = 6*h**3 - 2*h**2 - 2*h. What is x(q) - 2*z(q)?
4*q**3
Suppose -6 + 2 = -4*h. Let p(i) = i. Let t(w) = w**2 + 6 + w**3 - 4 + 6*w**2 - 5*w**2 - w. Calculate h*t(o) + p(o).
o**3 + 2*o**2 + 2
Let s(m) = 2*m**2 - 3*m. Suppose 4*w = -4*u - 28, 2*u + 5 = w - 0. Let x(r) = -2*r**2 + 3*r. Determine w*x(l) - 2*s(l).
2*l**2 - 3*l
Let h(o) = -13*o**2 - 8. Suppose -5*q + 2*q = 0. Let v(g) = q - g**2 - 2 - 2*g**2. What is 2*h(m) - 9*v(m)?
m**2 + 2
Let t(m) = -m**2 + m + 1. Let j(z) = -2*z**2 - 16*z + 4. Give -j(k) + 4*t(k).
-2*k**2 + 20*k
Suppose -2*j - 12 = -4*o, -4*o + j + 3*j + 4 = 0. Let c(d) = d**2 - 6*d. Let h(v) = -8*v + 3*v + 0*v**2 + v**2. Determine o*h(g) - 4*c(g).
g**2 - g
Let p(i) = -9*i**3 + 4*i**2 + 4*i + 4. Let f(x) = 100*x**3 - 45*x**2 - 45*x - 45. Calculate -4*f(b) - 45*p(b).
5*b**3
Let r(t) = 2*t**2 - 2*t. Suppose -3*l - 2*d - 3*d = -14, -5*d + 5 = 0. Suppose -1 + 7 = -l*a. Let f(c) = -6*c**2 + 7*c. What is a*f(b) - 7*r(b)?
-2*b**2
Let q(r) = 9*r**2 + 6. Let t(l) be the second derivative of -2*l**4/3 - 5*l**2/2 + 7*l. Determine -5*q(d) - 6*t(d).
3*d**2
Let c(x) = 2*x - 1. Let d(t) = 4*t - 1. Let u(o) = 5*c(o) - 2*d(o). Let z(w) = w**2 - 7*w + 10. Let l(m) = -m - 7. Let g be l(-9). Give g*z(v) + 7*u(v).
2*v**2 - 1
Let v be (10 + (-18)/6)*(-2 - -3). Let o(c) = 5*c**2 - 5*c - 2. Let s(n) = -3*n**2 + 3*n + 1. Determine v*s(t) + 4*o(t).
-t**2 + t - 1
Let w(o) = 9*o - 9. Let h(u) = -u - 1. Let f(b) = -8. Let q(t) = -f(t) + 4*h(t). Let x(r) = -r**2 - 6*r + 5. Let p be x(-6). Calculate p*q(m) + 2*w(m).
-2*m + 2
Let p(z) = -13*z**3 + 5*z**2 - 5*z + 5. Let v(i) = -12*i**3 + 4*i**2 - 4*i + 4. What is 4*p(x) - 5*v(x)?
8*x**3
Let s(r) = -5*r**2 + 2*r + 2. Let x(p) = -6*p**2 + 3*p + 3. Let q = 79 + -83. What is q*x(t) + 5*s(t)?
-t**2 - 2*t - 2
Let x(w) = -w**3 + 4*w - 7. Let r(p) be the first derivative of -1/2*p**4 + 7/2*p**2 + 0*p**3 - 13*p - 1. Let a = -7 - -18. Give a*x(o) - 6*r(o).
o**3 + 2*o + 1
Let i(j) = -100*j**3 - 30*j**2 + 14. Let t(w) = 20*w**3 + 6*w**2 - 3. Let f(s) = 3*i(s) + 16*t(s). Let q(v) = 7*v**3 + 2*v**2 - 2. Give 6*f(a) - 17*q(a).
a**3 + 2*a**2 - 2
Let f(d) = -d + 1. Let m(w) = -6*w + 5. Let k(z) = z + 6. Let s be k(-5). Let p be 1*-2*(-3)/6. Let x be (-2*s + -2)*p. Determine x*f(y) + m(y).
-2*y + 1
Let b(n) = 15*n**2 + 2*n - 9. Let z(f) = 7*f**2 + f - 4. Determine -4*b(w) + 9*z(w).
3*w**2 + w
Let r(j) = -j**2 - 1. Let k = 1 - 0. Let y(t) = -3*t**2 - 2. Give k*y(z) - 2*r(z).
-z**2
Let z(l) be the third derivative of 7*l**6/120 + 5*l**4/8 + 11*l**3/6 + 8*l**2. Let b(h) = -2*h**3 - 4*h - 3. Suppose -44 = -0*f - 2*f. What is f*b(k) + 6*z(k)?
-2*k**3 + 2*k
Suppose -4*l - 6 - 18 = 4*r, 2*l = -8. Let b be 1*(-2 + 4/2). Let t(u) = b*u - 1 - 20 + u. Let f(a) = -4. Give r*t(x) + 11*f(x).
-2*x - 2
Let i(u) = -10*u**3 + 5*u + 5. Let h(m) = -5*m**3 + 6*m**2 - 7*m - 1. Let a(w) = -w**3 + w**2 - w. Let x(z) = -6*a(z) + h(z). What is i(g) + 5*x(g)?
-5*g**3
Let h(o) = 3. Let l(m) = m + 2. Let t(d) = -3*d - 9*d**2 + 10*d - 3 + 8*d**2. Let a be t(6). Calculate a*l(v) - 2*h(v).
3*v
Let w(v) = -3*v - 14. Let i(b) = -3*b - 13. Determine 4*i(c) - 5*w(c).
3*c + 18
Let y(z) = 6*z**3 + 8*z. Suppose -8 = i - 13. Suppose -2*t - 7 = -5*s + 3, -25 = i*t + 4*s. Let v(m) = 4*m**3 + 5*m. Calculate t*y(q) + 8*v(q).
2*q**3
Let q(n) = -4*n**2 + 2*n + 5. Let w(k) = 2*k**2 - k - 3. Let o be 0 - -3 - (-1 + 1). Give o*q(j) + 5*w(j).
-2*j**2 + j
Let b(f) = f + 3. Let i(r) = 1. Let z(x) = -b(x) + 4*i(x). Let g(h) be the first derivative of h**2 - h - 29. Give -4*g(d) - 5*z(d).
-3*d - 1
Let a(o) = o**2 + 2. Let v = -11 + 9. Let y be v/1 + 9 + -9. Let m(s) = -5*s**2 - s - 11. What is y*m(z) - 11*a(z)?
-z**2 + 2*z
Let d(l) = -12*l**3 + 2*l**2 + l + 2. Let t(v) = -24*v**3 + 5*v**2 + 3*v + 4. Give 5*d(x) - 2*t(x).
-12*x**3 - x + 2
Let t(z) = 8*z - 1. Let c(g) = 7*g. What is 3*c(l) - 2*t(l)?
5*l + 2
Let c(s) = -4*s**2 + 29*s - 2 + 0 - 35*s - 4. Let w = -6 + 0. Let n = -6 - -11. Let f(u) = -3*u**2 - 5*u - 5. Calculate n*c(o) + w*f(o).
-2*o**2
Let b(c) = 5*c + 7*c + 8 - 5*c. Let u(v) = -13*v - 15. Let t be 0 - 6/4*-2. Suppose -4*j + 28 = -2*s, -s + 6*s + 42 = t*j. Determine s*u(w) - 11*b(w).
w + 2
Let b(q) = q - 1. Let t(j) = 32*j**3 - 32*j + 32. Give -64*b(r) - 2*t(r).
-64*r**3
Suppose 19 + 69 = -11*v. Let i(d) = -1. Let r(l) = 2*l - 12. Let q(g) = -g + 1. Let m(j) = -4*q(j) - r(j). Calculate v*i(k) - m(k).
-2*k
Let z(l) = 7*l**3 + 5*l**2. Suppose 2*k = 5*t - 89, -5*k + 10*k + 213 = 3*t. Let w(n) = 60*n**3 + 42*n**2. What is k*z(x) + 5*w(x)?
6*x**3
Let w(h) = -6*h**2. Let z(u) = -3*u**2. Give -2*w(m) + 5*z(m).
-3*m**2
Let x(t) = 6*t**3 + 5*t**2 - 5*t - 5. Let u(p) = -p**3 + 4*p**2 + 2*p - 10. Let g(j) = -4*j**2 - j + 9. Let z(d) = 6*g(d) + 5*u(d). Determine -4*x(k) - 5*z(k).
k**3
Let s(l) = 4*l + 3 - 3*l + 1. Let j = -11 - -17. Let r(d) = j + 1 + 2*d + 2 + 0*d. Calculate -2*r(b) + 5*s(b).
b + 2
Suppose -3*g - 7 = 11. Let p(k) = -k + 1. Let b(t) = t - 1. Suppose -5*s - 21 = -4*x, x + 1 + 10 = -2*s. Let v be (-7 - 2)/3 + x. Give g*p(a) + v*b(a).
2*a - 2
Let r be (-52)/12 - (-2)/(-3). Let p(f) = f**2 - 3. Let y(u) = 2*u**2 - 5. Give r*p(j) + 3*y(j).
j**2
Let x(o) = -o**2 - o - 1. Let m(a) = -2*a + 22 - a - 15 - 10. What is m(s) - 3*x(s)?
3*s**2
Let j(x) = -9*x + 79. Let u be j(9). Let a(y) = -2*y**2 - y + 2. Let m(z) = z**2 + z - 1. Give u*a(f) - 2*m(f).
2*f**2 - 2
Let f(p) = -12*p - 8. Let o(a) = -8*a - 5. Determine -5*f(d) + 8*o(d).
-4*d
Let j(l) = 9*l - 2. Let c(f) = 10*f - 2. What is 2*c(u) - 3*j(u)?
-7*u + 2
Let b(i) be the first derivative of 2*i**3/3 + i**2 - i + 2. Let c(r) = 8*r**2 + 9*r - 5. Suppose -3*n + 64 = -2. Let m = n - 31. Give m*b(j) + 2*c(j).
-2*j**2 - 1
Let u = 56 + -45. Let r(a) = -3*a**3 + 6*a - 4. Let s(t) = t**3 + 3 + 17*t - 14 - 9*t**3. Calculate u*r(b) - 4*s(b).
-b**3 - 2*b
Suppose -12 = 30*a - 31*a. Let k(d) = 3*d - 4. Let g(m) = -m + 1. Calculate a*g(t) + 3*k(t).
-3*t
Let u(t) = t**3 + 6*t**2 - 2*t - 2. Let n(b) = b**3 + 5*b**2 - 2*b - 2. Calculate -5*n(p) + 4*u(p).
-p**3 - p**2 + 2*p + 2
Let l(x) = -3*x**2 + 123*x - 5. Let a(i) = 2*i**2 - 62*i + 3. Determine -5*a(n) - 3*l(n).
-n**2 - 59*n
Let v(i) = -i**2 - i. Let x(q) = 6*q**2 + 7*q. What is -21*v(z) - 3*x(z)?
3*z**2
Let h be 4*1 - (-1)/1. Let i(u) = -u**2 + 1. Let s(v) = v**3 - 7*v**2 + 3. Let f be 6/3 - (4 - 1). Give f*s(c) + h*i(c).
-c**3 + 2*c**2 + 2
Let v(a) be the first derivative of 7*a**4/4 - 11*a**2/2 - 9*a + 1. Let q(p) = -3*p**3 + 5*p + 4. Give -9*q(i) - 4*v(i).
-i**3 - i
Let