- 6*t(i).
-12*i**3
Let l(p) be the second derivative of p**3/3 + 7*p. Let o(d) = d. Determine -2*l(z) + 5*o(z).
z
Let b(w) = -2*w**3 - 3*w**2 - 3*w - 4. Let x(m) = 5*m**3 + 8*m**2 + 9*m + 11. Determine -8*b(f) - 3*x(f).
f**3 - 3*f - 1
Let b(w) = 7. Let m(x) = 8. Let s = -8 + 11. Suppose -s*d = -4*d - 6. Let z(v) = d*b(v) + 5*m(v). Let o(q) = q**2 + 3. Calculate 2*o(y) + 3*z(y).
2*y**2
Let u(y) be the second derivative of -y**4/12 + y**3/6 + y**2/2 - 38*y. Let z(v) = 7*v**2 - 5*v - 5. What is 6*u(q) + z(q)?
q**2 + q + 1
Let s(g) = -5*g**3 + 6*g**2 - 8*g - 3. Let b(p) = -4*p**3 + 5*p**2 - 7*p - 2. Give 6*b(k) - 5*s(k).
k**3 - 2*k + 3
Let u(r) = -56*r**3 - 5*r**2 - 11*r - 6. Let q(v) = 11*v**3 + v**2 + 2*v + 1. Give -11*q(b) - 2*u(b).
-9*b**3 - b**2 + 1
Suppose -2*s + 9 = s. Let i(x) = -x. Let k(z) = -z - 1. Calculate s*i(f) - 2*k(f).
-f + 2
Let p(f) = f**3 + 1. Let l(g) = 2 + 3 + 4*g**3 + 3*g**2 - 3*g**2. Calculate -l(r) + 5*p(r).
r**3
Let g(i) = -i - 1. Let m(t) = 2*t + 3. Calculate 4*g(n) + 4*m(n).
4*n + 8
Let t(j) = -2*j**3 + 5*j + 2. Let z be (0/1)/(-2) - -5. Let b(g) = -3*g + g**3 + g**3 - g - 2. Calculate z*b(u) + 4*t(u).
2*u**3 - 2
Let s = -33 - -27. Let v(y) = -4*y**2 + 8*y + 5. Let g(z) = -5*z**2 + 9*z + 6. Give s*g(x) + 7*v(x).
2*x**2 + 2*x - 1
Let m(o) be the third derivative of o**5/30 + o**4/2 + 2*o**3/3 - 4*o**2 - 2*o. Let x(v) = -v. What is -m(n) - 12*x(n)?
-2*n**2 - 4
Let v(y) = 5*y - 2. Let k(o) = -o - 1. Calculate -k(m) + v(m).
6*m - 1
Let g(y) = y + 4. Let l(f) = -3*f - 11. Suppose 5 = 4*x - n - 73, 0 = -4*x + 3*n + 82. Suppose 0 = 3*t - 3, -5*t - x = -2*v - 8. Calculate v*g(m) + 3*l(m).
-m - 1
Let x(m) = -4. Suppose 3 = 5*s + 8. Let i(a) = -1. Let q(t) = s*x(t) + 3*i(t). Let h be 12/4*(-1)/(-1). Let b(c) = -2*c + 2. Determine h*q(v) - b(v).
2*v + 1
Let x(t) = 2*t - 14. Let r(v) = v - 11. Let k be r(8). Let i(m) = m - 5. What is k*x(y) + 8*i(y)?
2*y + 2
Let m(x) = -56*x - 2. Let z(l) = -1737*l - 63. Determine -63*m(v) + 2*z(v).
54*v
Let h(y) = -y**3 - y - 1. Suppose -3*k - k + 4 = 0. Let v(f) = f - 3. Give k*h(q) - v(q).
-q**3 - 2*q + 2
Let g(a) = -5*a**2 + 6*a - 5. Let b(m) = -4 + 86*m**2 - 90*m**2 + m + 4*m. What is 4*b(h) - 3*g(h)?
-h**2 + 2*h - 1
Let v(t) = -13*t - 9. Let s(z) = -6*z - 4. Give 7*s(c) - 3*v(c).
-3*c - 1
Let x(y) = -3*y**3 - 3*y**2. Let d(v) = -6*v**3 - 7*v**2. Let s = 71 + -74. What is s*d(b) + 7*x(b)?
-3*b**3
Let l(p) = -p**2 - 1. Let c(n) = 4*n + 1. Calculate -c(w) - 2*l(w).
2*w**2 - 4*w + 1
Let y(m) = 5*m + 3. Let n(q) = q - 5. Let l(t) = -2*t + 8. Let u(b) = 3*l(b) + 5*n(b). What is -9*u(j) - 2*y(j)?
-j + 3
Suppose 7 = -t + 3. Let f(z) = 4*z**3 + 3. Let s(k) = 3*k**3 + 2. Let d = -11 - -17. Give d*s(p) + t*f(p).
2*p**3
Let s(y) = 9*y**2 - y - 4. Let z(c) = c**2 + 2*c - 1. Let r(x) = 27*x**2 + 8*x - 15. Let m(i) = -r(i) + 5*z(i). Determine 5*m(t) + 12*s(t).
-2*t**2 - 2*t + 2
Let m(i) = 10*i**3 + 6*i**2 - 6*i. Let h(s) = -40*s**3 - 25*s**2 + 25*s. Calculate 6*h(p) + 25*m(p).
10*p**3
Let n(l) = 23*l**3 - 4*l**2 - 4*l - 1. Let f(b) = -23*b**3 + 5*b**2 + 5*b + 1. Determine 4*f(r) + 5*n(r).
23*r**3 - 1
Let a(d) = 23*d**3 + 4*d - 6. Let b(f) = -23*f**3 - 5*f + 7. What is -6*a(y) - 5*b(y)?
-23*y**3 + y + 1
Let q = -20 - -26. Let n(c) = -c**3 + 3. Let m(r) = -2*r**3 + 5. What is q*m(x) - 10*n(x)?
-2*x**3
Let l(c) = 4*c**2 + 6*c**3 + 3 + 10 + 5*c + c**2 - 17. Let r(v) = v**3 + v**2 + v - 1. Suppose 0 = 2*x + 5*m + 10 + 4, 5*x - 5*m = 0. What is x*l(f) + 10*r(f)?
-2*f**3 - 2
Let p(c) = -2*c**3 - 5*c**2 + 2*c + 5. Let x = 18 + -15. Let s = -1 + -4. Let o(v) = -v**3 - 3*v**2 + v + 3. What is s*o(a) + x*p(a)?
-a**3 + a
Let b(k) = 0*k + 5*k - 11*k + 5*k. Let s(d) = -5*d - 1. Let w(j) = -6*b(j) + s(j). Let z(a) = -6*a + 2. Let y(q) = q + 7. Let n be y(-6). Give n*z(u) + 4*w(u).
-2*u - 2
Let t(b) = b + 0*b + 2*b + 2*b. Let i(q) = 6 + 11*q - 6. Suppose 2*o - 29 = -3. Determine o*t(s) - 6*i(s).
-s
Let h(f) be the third derivative of -f**5/60 + f**4/24 - f**2. Let j be (-150)/(-35) + (-4)/14. Let q(c) = -3*c - 4*c**2 + 15*c - j*c. What is -6*h(y) + q(y)?
2*y**2 + 2*y
Let u(k) = -k**2 + 1. Let g(z) = -11*z**2 + 4*z + 6. Let o(v) = 10*v**2 - 3*v - 5. Let p(s) = -3*g(s) - 4*o(s). What is -p(l) + 5*u(l)?
2*l**2 + 3
Let b(t) = t**2. Let a(n) = 3*n**2 + 5*n - 1. Determine -a(w) + 6*b(w).
3*w**2 - 5*w + 1
Let r(p) be the second derivative of 4*p**5/5 + 5*p**4/6 - p**3/2 - 13*p. Let m(u) = 5*u**3 + 3*u**2 - u. Give -7*m(j) + 2*r(j).
-3*j**3 - j**2 + j
Let q(a) = 2*a - 1. Suppose 5*n - 2*o + 2 = 2*n, -5*n - 2 = -4*o. Let c(i) = -i. What is n*q(u) - 5*c(u)?
u + 2
Let s(r) = 8 - 6*r + 9 - 20 - r**2. Let n be s(-6). Let l(d) = -7*d - 7. Let k(m) = 4*m + 4. What is n*l(t) - 5*k(t)?
t + 1
Let s(p) = -p + 4. Let n(d) = 34 + 10*d - 13 - 15*d. Let h(r) = 2*n(r) - 11*s(r). Let v(i) = -i + 4. Give -5*h(w) - 3*v(w).
-2*w - 2
Let q(p) = -p**2 - 2*p. Let t(f) = 5*f**2 + 11*f + 1. Let z = -48 + 37. Determine z*q(o) - 2*t(o).
o**2 - 2
Let z(k) = k**2 + 5*k + 6. Let c(r) = -r - 1. Let y(g) = 2*g + 2. Let m(b) = 3*c(b) + 2*y(b). What is -6*m(q) + z(q)?
q**2 - q
Suppose -p + 14 = p. Let m(u) = 2*u**3 - 3*u**2 + 2*u - 1. Let q(z) = -11*z**2 + 7*z + z**2 + 6*z**3 + 0*z - 3. What is p*m(r) - 2*q(r)?
2*r**3 - r**2 - 1
Let q(v) = -13*v**3 + 7*v**2 + 7*v + 7. Let s(g) = -12*g**3 + 6*g**2 + 6*g + 7. Calculate 6*q(t) - 7*s(t).
6*t**3 - 7
Let z(h) = h**3 + h. Let r(l) = l + 11. Let a be r(-6). Let d(c) be the third derivative of c**6/20 + c**5/60 + 5*c**4/24 - 3*c**2. Determine a*z(x) - d(x).
-x**3 - x**2
Let d(a) = a - 1. Let f(g) = -7*g + 6. What is 6*d(l) + f(l)?
-l
Let x(d) = -5*d + 29. Let r(a) = a - 7. What is 9*r(p) + 2*x(p)?
-p - 5
Let p(h) = -2*h. Let v(f) = f. Suppose 0*n - 2*n = -2. Let r be (-3 + 11 - 3)*n. Calculate r*p(y) + 8*v(y).
-2*y
Let t(l) = 2*l**2 + 7. Let g(j) = j**2 + 6. Determine -6*g(i) + 5*t(i).
4*i**2 - 1
Let q(f) = -6*f + 2. Let b(u) = -11*u + 3. Let j be 25/(-10)*40/25. What is j*b(w) + 7*q(w)?
2*w + 2
Let b(g) = 4*g**2 + 11*g. Let n(f) = f**2 + 4*f. Calculate 4*b(u) - 11*n(u).
5*u**2
Let h(u) = -8*u + 4. Let n(l) = -23*l + 11. What is -8*h(f) + 3*n(f)?
-5*f + 1
Let t(a) = -27*a**2 + 5*a - 28. Let n(x) = -13*x**2 + 3*x - 14. Let g(q) = -5*n(q) + 2*t(q). Let m(d) = -4*d**2 + 2*d - 5. What is -3*g(v) - 8*m(v)?
-v**2 - v - 2
Let y(s) = -4 - 5*s**3 - 3 + 0*s**2 + 7*s**2. Suppose 23 = 2*c + f, 17 = 3*c + f + 4*f. Let a(l) = 2*l**3 - 3*l**2 + 3. Let t = -21 - -27. Give c*a(z) + t*y(z).
-2*z**3
Let n(g) = 10 - 728*g + 726*g - 5. Let y(k) = 3*k - 6. Determine -7*n(m) - 6*y(m).
-4*m + 1
Let h be (-6)/18 + 10/3. Suppose 2*b = -6*d + 2*d + 38, h*d - 4*b - 1 = 0. Let g(m) = 4*m + 7. Let i(k) = -2*k - 4. Calculate d*i(n) + 4*g(n).
2*n
Let c(w) = w. Let s(v) = -3*v. Suppose 4*x + q - 81 = 0, -3*x = -4*q + 5*q - 60. Determine x*c(r) + 6*s(r).
3*r
Let f(k) = -k**2 + 2*k - 4. Let y(u) = 5 + u - 3*u + u**2 + 0*u. Suppose -5*x + 2*g = 30, -2*g + 0 = -x - 14. What is x*f(r) - 3*y(r)?
r**2 - 2*r + 1
Let s(i) = 1. Let m(j) = j - 3. Determine -m(p) - 5*s(p).
-p - 2
Let f(k) = 5*k**2 - 2*k - 2. Let m(w) = -10*w**2 + 5*w + 5. Give 10*f(z) + 4*m(z).
10*z**2
Let r(v) = -8*v**2 + 8*v + 35. Let p(n) = 7*n**2 - 7*n - 35. What is 7*p(h) + 6*r(h)?
h**2 - h - 35
Let j(y) = y - 23. Let n(a) = a - 22. Calculate -6*j(i) + 5*n(i).
-i + 28
Let z be (-28)/(-6) + 3/9. Let t(i) = 2*i + 1. Let x(b) = -b - 1. Suppose 3*m = -w - 4*w + 18, -w + 3*m = 0. What is w*t(v) + z*x(v)?
v - 2
Let n(f) = 8 - 4 - 7*f + 4*f. Let v(i) = i - 1. What is n(a) + 5*v(a)?
2*a - 1
Let q(h) = -h - 9. Let m(n) = 2*n + 8. Give 6*m(f) + 5*q(f).
7*f + 3
Let m(k) = -k**3 + 17*k**2 - 9. Let s(v) = 4*v**2 - 2. Let f(t) = -t - 5. Let r be f(-14). Give r*s(c) - 2*m(c).
2*c**3 + 2*c**2
Let u(y) = -4*y + 63. Let i(a) = 6*a - 95. Give -5*i(g) - 8*u(g).
2*g - 29
Let o(q) = 14*q - 17. Let a(w) = -7*w + 8. Give -13*a(r) - 6*o(r).
7*r - 2
Let y be 1 - (1 + -4 + 3). Let v(i) = 2*i + 12. Let d(b) = 1. What is y*v(j) - 12*d(j)?
2*j
Let a(q) = -14*q - 11. Let h(x) = -23*x - 4. Let g(m) = -8*m - 1. Let w(n) = -8*g(n) + 3*h(n). Let u = 129 + -121. Determine u*w(t) - 3*a(t).
2*t + 1
Let r = 8 + -12. Let v(j) = -9*j + 5. Suppose 5 = -2*n - 9. Let k(o) = -5*o + 3. Let b(t) = n*k(t) + 4*v(t). Let g(l) = 2*l + 4. Ca