f).
-5*f + 8
Let h(d) = -12*d + 1. Let v(w) = -w - 1. Determine -h(q) + v(q).
11*q - 2
Let q(t) = 4*t - 6. Let w(u) = -3*u + 5. Let f = 12 - 7. Let i(v) = f*w(v) + 4*q(v). Let r(z) = -6*z + 3*z + 0*z - 4. What is 4*i(s) + r(s)?
s
Let j = -4 - -3. Let w(s) = -3*s**3 + 4*s**2 + 4*s + 4. Suppose 4 = -4*h + 6*h. Let o(p) = h*p**2 + 1 - 3*p**2 - p**3 + p + 2*p**2. What is j*w(u) + 4*o(u)?
-u**3
Let w(m) = 5*m**2 - 2*m. Let b(r) = -5*r**2 + 3*r. Determine 2*b(k) + 3*w(k).
5*k**2
Let u(c) be the third derivative of 11*c**4/24 - 7*c**3/3 - 6*c**2. Let m = -4 + 7. Let h(q) = 4*q + m*q - 5 - 3*q. Determine 17*h(s) - 6*u(s).
2*s - 1
Let m(n) be the second derivative of n**4/24 + n**3/6 + 2*n**2 - 5*n. Let b(i) be the first derivative of m(i). Let w(o) = -o - 1. Give -5*b(a) - 4*w(a).
-a - 1
Let b(w) = -w**3 + 6*w**2 - 3*w - 4. Let g be b(5). Let c(s) = -14*s + 11 - 17*s**2 - 15*s + 18*s. Let q(y) = 9*y**2 + 6*y - 6. Calculate g*c(h) + 11*q(h).
-3*h**2
Let d(o) = -o + 30. Let y(h) = h - 1. Give d(w) + 2*y(w).
w + 28
Let d(z) = 3*z**3 - 7*z - 5. Let f(p) be the second derivative of 2*p**5/5 - 10*p**3/3 - 7*p**2 + p + 45. What is -14*d(a) + 5*f(a)?
-2*a**3 - 2*a
Let y(t) = -9*t - 3. Let b(z) = 4*z + 1. Give -5*b(g) - 2*y(g).
-2*g + 1
Let u(p) = -7*p - 5. Suppose -8*m + 3*m - 25 = 0. Let i(o) = 11*o + 8. Calculate m*i(r) - 8*u(r).
r
Let a(b) = 8*b - 62. Let v(i) = 3*i - 21. Determine -4*a(u) + 11*v(u).
u + 17
Let p(m) = -2*m**3 + 3*m**2 - 2*m. Let i(u) = -6*u**3 + 9*u**2 - 7*u. Give -2*i(q) + 7*p(q).
-2*q**3 + 3*q**2
Let q(n) = n - 1. Let v(g) = -1. What is q(h) - v(h)?
h
Let w(c) be the first derivative of 10*c**2 + 8*c - 67. Let p(d) = 7*d + 3. What is 8*p(m) - 3*w(m)?
-4*m
Let t(o) = o - 20. Let j(z) = 1. What is -4*j(q) - t(q)?
-q + 16
Let b(k) = 3*k + 4. Let h(g) be the first derivative of 7*g**2/2 + 9*g + 26. Determine -5*b(l) + 2*h(l).
-l - 2
Let x(i) = -i**3 - 4*i**2 - 4. Suppose 0*s = 3*s - 3. Let u(p) = -5*p**2 - 5. Let a(m) = 4*m**2 + 4. Let g(z) = -4*a(z) - 3*u(z). Determine s*x(r) - 4*g(r).
-r**3
Let f(k) = -9*k**2 - 5*k - 5. Let w(h) = 8*h**2 + 5*h + 5. Let i(y) = -3*f(y) - 2*w(y). Let r(l) = -39*l**2 - 18*l - 18. Determine -18*i(s) - 5*r(s).
-3*s**2
Let x(v) = 5. Let p(h) = -h + 24. What is -2*p(s) + 11*x(s)?
2*s + 7
Let w(m) = m**2 + m. Let b(p) = 8*p**2 + 17*p. Calculate b(a) - 6*w(a).
2*a**2 + 11*a
Let p(d) = -9*d**2. Let l(o) = 5*o**2. Determine 5*l(f) + 3*p(f).
-2*f**2
Let k(z) = -10*z**3 + 7*z**2 + 7*z + 7. Let h(l) = -9*l**3 + 6*l**2 + 6*l + 6. Let y(d) = 7*h(d) - 6*k(d). Let u(n) = 10*n**3. Calculate -3*u(v) - 8*y(v).
-6*v**3
Suppose n = -0*n + 2. Suppose -n*c = 3*t - 2*t, -5*c - 11 = -3*t. Let m(s) = -s**2 + s - 1. Let k(b) = -b**3 - 5*b**2 + 6*b - 7. Give c*k(o) + 6*m(o).
o**3 - o**2 + 1
Let p(h) = 8*h - 8. Suppose v - 3*v = z - 34, -2 = -2*v. Suppose a - 3*l = 0, 0 = 4*a + 2*l + 2*l - z. Let s(m) = 7*m - 7. Calculate a*p(n) - 7*s(n).
-n + 1
Let g(z) = 3*z**2 - 3*z + 2. Let v(s) = s - 1. Determine -g(y) - 4*v(y).
-3*y**2 - y + 2
Suppose 2*c - 16 = 6*c. Let k(v) = -v**2 - v + 1. Let q(a) = 5*a**2 + a - 7. Let g(b) = 6*k(b) + q(b). Let u(z) = 2*z**2 + 6*z + 2. What is c*g(s) - 3*u(s)?
-2*s**2 + 2*s - 2
Let d(p) = p + 1. Let w(h) = -2*h - 3. Let m be -1*(-3)/(-7) + (-418)/(-77). Calculate m*w(v) + 15*d(v).
5*v
Let o(t) = -3*t**2 + 2*t. Suppose 0 = -5*d - 40 + 15. Let b(z) = 5*z**2 - 5*z. Calculate d*o(s) - 2*b(s).
5*s**2
Suppose -3*m + 7*m = 12. Suppose 0 = -2*y + m + 1. Let d(z) = -3 + 10*z + 0 - 13. Let r(x) = -2*x + 3. Determine y*d(o) + 11*r(o).
-2*o + 1
Suppose 2*w + w - 6 = 0, 1 = x + 2*w. Let t(q) be the first derivative of -2*q + 2 + 1/2*q**2. Let c(h) = -h + 1. What is x*c(n) - 2*t(n)?
n + 1
Let b(o) be the third derivative of o**4/24 - 9*o**2. Let h(v) = v. Let m be 5/(-2)*4/(-2). Calculate m*h(i) - 6*b(i).
-i
Let h(p) = -p**2 + 9*p + 7. Suppose 2*k + 4 = -6. Let z(f) = -f**2 + 27*f - 33. Let c be z(26). Let q(i) = i**2 - 13*i - 10. Calculate c*h(l) + k*q(l).
2*l**2 + 2*l + 1
Let g(b) = 5*b - 1. Let w = 5 + -18. Let z = w + -1. Let j(p) = -15*p + 2. Let s(a) = 14*a - 2. Let x(u) = -4*j(u) - 6*s(u). What is z*g(f) - 3*x(f)?
2*f + 2
Let r(o) = 13*o**3 + 7*o**2 - 7*o + 1. Let c(i) = -7*i**3 - 4*i**2 + 4*i - 1. What is -7*c(l) - 4*r(l)?
-3*l**3 + 3
Let a(w) = -7*w + 17. Let x(b) be the first derivative of -3*b**2/2 + 8*b + 3. Give -6*a(l) + 13*x(l).
3*l + 2
Let s(r) = -11*r**3 - 2*r**2 - 2*r - 2. Let t(h) = 44*h**3 + 9*h**2 + 9*h + 9. Give -9*s(b) - 2*t(b).
11*b**3
Let l(h) = -h**3 - h**2. Let v(g) be the first derivative of g**7/210 + g**6/72 + 2*g**3/3 - 2. Let n(o) be the third derivative of v(o). Give -5*l(a) - n(a).
a**3
Let f(g) = 2*g**2 + 5*g - 5. Let z(o) = -12*o**2 - 22*o + 22. Let d(x) = x**2 + 0*x + 1 + x - 1 - 1. Let m(b) = -6*d(b) - z(b). Determine 16*f(r) - 5*m(r).
2*r**2
Let o(w) = w**3 + 1. Let d(s) = 56*s**3 + 42. Give -d(z) + 42*o(z).
-14*z**3
Let h(l) = l - 5. Let k(f) = f - 2. Determine -4*h(q) + 9*k(q).
5*q + 2
Let z(q) = -q + 1. Let x(r) = -10*r - 5. Determine x(l) + 5*z(l).
-15*l
Let c(p) = -17*p**2 + 14*p + 11. Let d(o) = -8*o**2 + 7*o + 5. Let g(z) = 4*c(z) - 9*d(z). Let w(x) = -x**2 + 2*x. Let r = 7 - 0. Calculate r*w(i) + 2*g(i).
i**2 - 2
Let m(j) be the first derivative of -3/2*j**4 + 7/2*j**2 - 2 + 0*j - 7/3*j**3. Let r(s) = 5*s**3 + 6*s**2 - 6*s. Let z = 23 + -16. What is z*r(u) + 6*m(u)?
-u**3
Let m(w) = -3*w**3 - 5*w**2 - 5*w. Let i(q) = 3*q**3 + 6*q**2 + 6*q. Let p be (-3)/(-9)*3 + 6. Suppose p*h + 0*h + 35 = 0. Determine h*i(j) - 6*m(j).
3*j**3
Let d(g) = g**2 - 6*g. Let i(b) be the second derivative of 5*b**4/6 - 55*b**3/6 + 15*b. Give -55*d(h) + 6*i(h).
5*h**2
Suppose -v - 2 = 2*y, -y - 1 = 3*v - 15. Let x(h) = 4*h**3 - 6*h**2 + 6*h + 7. Let o(m) = -5*m**3 + 7*m**2 - 7*m - 8. What is v*o(k) + 7*x(k)?
-2*k**3 + 1
Let m(h) = 24 + h - 3*h**2 + 23 - 45. Let a(y) = y**2 - 1. What is -4*a(s) - 2*m(s)?
2*s**2 - 2*s
Let t(f) = f**2 - 7*f - 1. Let k(o) = -2*o**2 + 15*o + 3. Determine -6*k(j) - 13*t(j).
-j**2 + j - 5
Let m(q) = -10*q - 16. Let b(r) = 7*r + 11. Give -7*b(t) - 5*m(t).
t + 3
Let k(x) = x**2 - x + 2. Let d(b) = -2*b**2 + 2*b - 3. Suppose -v - 8 + 2 = 0. Let z(w) = -w - 9. Let o be z(v). What is o*d(q) - 5*k(q)?
q**2 - q - 1
Let n(f) = -f**3 + f**2 - f. Suppose 0 = -2*d - 0*d + 12. Let r(z) = -5*z**3 + 4*z**2 - 6*z. What is d*n(y) - r(y)?
-y**3 + 2*y**2
Let u(v) = -v**2 + 2. Let i(k) = -k**2 + 5. Calculate -2*i(n) + 5*u(n).
-3*n**2
Let t(j) = j + 1. Let f(c) = 3*c. Give 2*f(w) - 4*t(w).
2*w - 4
Let z(h) = -6*h - 114. Let b(i) = 4*i + 76. What is 8*b(g) + 5*z(g)?
2*g + 38
Let y(t) = -3*t - 20. Let m(h) = h + 7. Let r be 3 + -1*(-28)/(-4). Give r*y(w) - 11*m(w).
w + 3
Let w(v) = -2*v - 31. Let b(g) = -g + 1. What is 4*b(a) - w(a)?
-2*a + 35
Let h(n) = n**3 - 4*n - 2. Let w be (-77)/(-6) + (-4)/(-24). Let r(a) = 7 - 3*a**3 - 20*a**2 + 20*a**2 + w*a. Give -7*h(v) - 2*r(v).
-v**3 + 2*v
Let f(t) = 2*t**3 - 2*t**2 + 2*t. Let s(u) = -u**2 + u - 1. What is -f(k) + 2*s(k)?
-2*k**3 - 2
Let z(a) be the first derivative of 4*a**4 + 7*a**3/3 + 7*a + 1. Let v(g) = -5*g**3 - 2*g**2 - 2. Determine 7*v(w) + 2*z(w).
-3*w**3
Let i(h) = h**3 - 2*h**2 - 5*h + 7. Let x(r) = -r**3 + 2*r**2 + 4*r - 6. Determine 4*i(p) + 5*x(p).
-p**3 + 2*p**2 - 2
Let w(f) = f**3 - f**2. Let o(t) = 3*t**3 - 5*t**2 + t. Calculate o(j) - 2*w(j).
j**3 - 3*j**2 + j
Let r(p) = -2*p - 4. Let f(a) = 8*a + 17. What is 6*f(d) + 26*r(d)?
-4*d - 2
Let w(z) = -3*z**2 + 2. Suppose -h + 5*t = -4, 4 = -t + 5*t. Let j(s) = -13*s**2 + 9. Determine h*w(k) - 2*j(k).
-k**2
Let z(y) = 5*y - 2. Let o(c) = -13*c + 6. Let h(v) = 53*v - 25. Let m(f) = 2*h(f) + 9*o(f). Determine 6*m(b) + 13*z(b).
-b - 2
Let s(t) = 6*t. Let q be ((-48)/(-8))/(1 + -2). Let d(g) be the third derivative of -7*g**4/24 + 5*g**2. Determine q*s(h) - 5*d(h).
-h
Let q(m) = 31*m**2 - 5*m. Let r(n) = -46*n**2 + 8*n. Give -8*q(c) - 5*r(c).
-18*c**2
Let f(j) = j**3 + 3*j**2 + 17*j + 3. Let a(p) = 2*p**3 + 7*p**2 + 34*p + 7. Calculate -3*a(q) + 7*f(q).
q**3 + 17*q
Let i = 6 + -4. Suppose i*b - 7 = -1. Let c(h) = -2 + 2*h - 6*h - 2*h**2 + 0*h**2. Let x(w) = w**2 + 3*w + 1. Determine b*c(t) + 4*x(t).
-2*t**2 - 2
Let m(k) = -3*k**3 - 5*k**2 + 7*k - 5. Let h(z) = -z**3 + 15*z**2 + 35*z - 22.