(z).
3*z
Let h(g) = -15*g + 5. Let i(b) = -14*b + 4. Determine -4*h(r) + 5*i(r).
-10*r
Let v(p) = 2*p + p + 2*p. Let n(o) be the first derivative of -3*o**2 - 4. Let r be ((-8)/14)/(8/(-56)). Calculate r*n(w) + 5*v(w).
w
Let f(d) be the second derivative of -d**2/2 + d. Let r(s) = s**3 - 1. Suppose 5 = -j + 3*a, 6*j + 7 = 2*j - a. Determine j*f(h) + r(h).
h**3 + 1
Let x(b) = -2*b - 5. Let c(h) be the first derivative of -h**2/2 - h + 33. What is -5*c(z) + x(z)?
3*z
Let i(l) = -4*l**3 + 21. Let p(h) = -3. Determine 3*i(s) + 21*p(s).
-12*s**3
Let j = 20 - 17. Let x(z) be the first derivative of -2/3*z**3 + 2 - j*z**2 + 0*z. Let r(p) = 2*p**2 + 7*p. Give -6*r(d) - 7*x(d).
2*d**2
Suppose 0 = -2*j + 3*v, 4*v - 20 = -3*j + 14. Let m(a) = -5*a**3 + a**2 - 5*a + 6. Let x(f) = -4*f**3 + f**2 - 4*f + 5. Determine j*x(r) - 5*m(r).
r**3 + r**2 + r
Let l(t) = -t - 1. Let x(h) = -2. Let q(g) = -g**3 - 5*g**2 - 6*g - 2. Let j be q(-4). Suppose 10*c = j*c - 8. Give c*l(y) + x(y).
2*y
Let r(v) = 3*v**2 - 1. Let c(p) = -7*p**2 + 3. Let z(i) = i**2 - 6*i + 5. Let s be z(6). What is s*r(h) + 2*c(h)?
h**2 + 1
Suppose 16 = -b + 14. Let o(n) = 2*n - 4. Let l(h) = -2*h + 3. Give b*o(z) - 3*l(z).
2*z - 1
Let a(t) = 4*t + 2. Let p(w) = -3*w - 2. Calculate 3*a(u) + 2*p(u).
6*u + 2
Let c(f) = -7*f**2 + 6*f + 4. Let i(n) = 0 + 4 + 0*n**2 + 5*n - 6*n**2. Calculate 5*c(h) - 6*i(h).
h**2 - 4
Let j(v) = v**3 + v**2 + v. Let a(r) = 6*r**3 - r**2 - r. What is 2*a(c) + 2*j(c)?
14*c**3
Let n(p) = 16*p**2 + 9*p - 21. Let t(l) = -4*l**2 - 2*l + 5. Determine 2*n(c) + 9*t(c).
-4*c**2 + 3
Let v(i) = -i**3 - 8*i**2 + 10*i + 8. Let l be v(-9). Let x(k) = -k**3 - k**2 + k - 1. Let d(f) = -6*f**3 - 4*f**2 + 6*f - 5. Determine l*d(m) + 5*x(m).
m**3 - m**2 - m
Let z(a) = -10*a + 6. Let g(p) = -11*p + 7. Determine -4*g(b) + 5*z(b).
-6*b + 2
Let a(t) = 1. Let l(r) = -3*r + 9. What is -4*a(s) + l(s)?
-3*s + 5
Let q(t) = t**3 - t + 1. Let z be -1*(2 - 1)*1. Let i(h) = 8*h**3 + 2*h**2 - 6*h + 6. What is z*i(s) + 6*q(s)?
-2*s**3 - 2*s**2
Let o(p) = p**2 + 13*p + 25. Let j(k) = k**2 + 9*k + 17. Give -7*j(n) + 5*o(n).
-2*n**2 + 2*n + 6
Let u(j) = 13*j**2 - 5. Let m(y) = -14*y**2 + 4. Calculate 5*m(i) + 4*u(i).
-18*i**2
Let r(s) = -8*s + 8. Let m(n) be the first derivative of n**2 - 2*n - 24. What is 9*m(g) + 2*r(g)?
2*g - 2
Let v(c) be the third derivative of -c**4/12 - 7*c**3/6 - 9*c**2. Let n(x) = -1. What is 5*n(s) - v(s)?
2*s + 2
Let w(j) = -2*j + 4*j - 6*j. Let r(x) = 3*x. Let m = 2 - 5. Give m*r(i) - 2*w(i).
-i
Let u(i) = -i**2 - i + 1. Let v(q) = 6*q**2 + 3*q - 5. Suppose -17*s = -21*s + 4. Give s*v(k) + 5*u(k).
k**2 - 2*k
Let l(s) = 7*s. Let c(y) = -8*y + 1. Let i(j) = -5*c(j) - 6*l(j). Suppose 0 = 2*g - 3*p - 6, -g - p + 3 = 2*p. Let z(d) = -5 + 2 + 5 - 1. What is g*z(k) + i(k)?
-2*k - 2
Let a(f) = -2*f**2 + 7*f - 3. Let o be a(5). Let d be 1/(3/(-12)*1). Let i(l) = -3*l + 1. Let c(y) = 13*y - 4. Calculate d*c(u) + o*i(u).
2*u - 2
Let o(p) = 2*p + 4. Let r(j) = -10*j**2 + 2*j - 1. Let d be r(1). Let u = d + 5. Let z(t) = 4*t + 9. What is u*z(f) + 9*o(f)?
2*f
Let i(g) = -g**2 - 1. Let n(q) = 60*q**2 + 55. Give -110*i(u) - 2*n(u).
-10*u**2
Let a(h) = -17*h + 17. Let v(i) = 8*i - 8. Determine -6*a(g) - 13*v(g).
-2*g + 2
Let n(r) = 16*r + 0*r**3 - 4*r**3 + 8*r - 24*r**2 + 24. Let j(f) = f**3 + 5*f**2 - 5*f - 5. What is 24*j(u) + 5*n(u)?
4*u**3
Let i(r) be the second derivative of r**4/6 + r**3/2 + 7*r**2/2 + r. Let t(w) = w**2 + w + 3. Let x = -120 + 122. Determine x*i(l) - 5*t(l).
-l**2 + l - 1
Let b(k) = k**2 - 2*k + 2. Let a be (-7 - -6)/((-29)/14 + 2). Let l(z) = 4*z**2 - 7*z + 7. What is a*b(n) - 4*l(n)?
-2*n**2
Let p(x) = x - 5. Let r be p(0). Let a(w) = -6*w + 7. Let g(y) = y + 4. Let j(z) = 1. Let m(f) = g(f) - 5*j(f). Determine r*m(s) - a(s).
s - 2
Let v(x) = 7*x**3 + 10*x**2 + 3*x + 7. Let p(f) = 3*f**3 + 5*f**2 + f + 3. Determine 5*p(d) - 2*v(d).
d**3 + 5*d**2 - d + 1
Let d(m) = -m**3 - 5*m**2 + 11*m - 3. Let j(i) = i**2 - i + 1. What is d(f) + 5*j(f)?
-f**3 + 6*f + 2
Let b(l) be the second derivative of -3/2*l**2 - 1/3*l**3 + 0 - 5*l. Let s be ((-2 - -2) + -1)*3. Let p(c) = 3*c + 4. Give s*p(d) - 4*b(d).
-d
Let p(g) = -1. Let j = -2 + 4. Let a(v) be the first derivative of 0*v**3 + 4 - 10*v + 1/4*v**4 + 0*v**j. Give -2*a(f) + 22*p(f).
-2*f**3 - 2
Let b(v) = -3*v - 1. Let r(g) = 7*g + 3. Let m(p) = -5*b(p) - 2*r(p). Let i(f) = 2*f - 2. Let c = -1 + 6. Calculate c*i(j) - 12*m(j).
-2*j + 2
Let c(q) = -q**3 + 4*q**2 - 4*q. Let l(j) = -j**3 + 3*j**2 - 3*j. Calculate 4*c(u) - 5*l(u).
u**3 + u**2 - u
Let r be (-3)/(18/(-8))*-3. Let n(p) = 1 - 54*p + 32*p + 23*p. Let z(j) = 2 - 3*j - 6 + 0. What is r*n(t) - z(t)?
-t
Let n be 18/(-2) - 6/(-2). Let h(x) = -3*x. Let j be (-4)/6 + (-159)/(-9). Let a(s) = -s. What is j*a(r) + n*h(r)?
r
Suppose 0 = 4*d - 6*d + 8. Let f(b) be the third derivative of -b**4/24 + b**2. Let m(v) = v**3 + 2*v**2 - 4*v. Give d*f(h) - m(h).
-h**3 - 2*h**2
Let k(u) = 9*u + 4. Let m(d) = 17*d + 7. Let f(t) = -11*k(t) + 6*m(t). Let c(r) = -5*r + 2 - 1 + 3*r. What is 4*c(s) + 3*f(s)?
s - 2
Let x(v) = 13*v - 3. Let i(l) = 6*l - 2. Give 7*i(c) - 3*x(c).
3*c - 5
Let n(y) = 3*y - 4. Let v(x) = 3*x. Let d be v(1). Let z(i) = i**2 - i + 1. Let k = -44 - -45. What is d*z(s) + k*n(s)?
3*s**2 - 1
Let a(z) = z**2. Let l(b) = b**3 - 3*b**2 + b - 4. Give 3*a(n) + l(n).
n**3 + n - 4
Let v(a) = 8*a**2 - 28*a + 28. Let c(l) = -5*l**2 - l - 3. Let q(u) = 14*u**2 + 2*u + 9. Let g(i) = 11*c(i) + 4*q(i). Determine -28*g(f) + 3*v(f).
-4*f**2
Let w(l) = -4*l + 6. Let h(j) = 2*j - 3. What is -10*h(n) - 4*w(n)?
-4*n + 6
Let n(x) = -468*x**2 + 143*x. Let j(g) = 13*g**2 - 4*g. Give 143*j(v) + 4*n(v).
-13*v**2
Let o(r) = 14*r**3 - 12*r - 12. Let g(v) = v**3 - v - 1. What is 12*g(a) - o(a)?
-2*a**3
Let x(q) be the second derivative of -q**4/6 - 2*q**2 - 76*q. Let p(f) = -f**2 - 3. Let g = -1 + -3. What is g*p(b) + 3*x(b)?
-2*b**2
Let u be ((-6)/4)/(6/(-16)). Suppose 96 = -u*w + 8. Let b(t) = 7*t. Let m(v) = -8*v. Let o(i) = 7*b(i) + 6*m(i). Let f(k) = -k**3 + 11*k. Give w*o(j) + 2*f(j).
-2*j**3
Let v(k) = -22*k + 5. Let b(o) = -o + 1. Give 5*b(p) - v(p).
17*p
Let p(t) = -2*t**3 - 3*t**2 - 3. Let f(b) = 4*b**3 + 5*b**2 + 5. Determine -3*f(a) - 5*p(a).
-2*a**3
Let w(y) = -5*y - 3. Let d(m) = -4*m - 3. Give 6*d(v) - 5*w(v).
v - 3
Let s(b) = -5*b + 5*b - b. Let u(x) = -3*x + 4*x + x. Calculate 3*s(t) + u(t).
-t
Let u(k) = -4 + 7 + k + 3*k. Suppose -f - 1 = 3. Let m(v) be the second derivative of 5*v**3/6 + 2*v**2 + v. Determine f*u(p) + 3*m(p).
-p
Let z(t) = t**2 - 3*t - 2. Let s be z(3). Let n(o) = -1. Let i(c) be the second derivative of c**3/6 + 3*c**2/2 - 4*c. Give s*n(r) - i(r).
-r - 1
Suppose -a + 5*c = c - 7, -35 = -5*a + 3*c. Let z(s) = -8*s**2 + 7*s + 5. Suppose 2*m - 26 = 2. Let n(v) = 0 - 8*v - 5*v**2 + m*v**2 - 6. Give a*z(y) + 6*n(y).
-2*y**2 + y - 1
Let k(z) be the second derivative of -z**4/2 + 2*z**3/3 + 2*z**2 - 2*z. Let a(q) = 5*q**2 - 3*q - 3. Calculate -4*a(f) - 3*k(f).
-2*f**2
Let y(v) = 10*v + 13. Let z(x) = -x + 1. Let n(c) = c + 6. Let b(f) = n(f) - 2*z(f). What is 7*b(m) - 2*y(m)?
m + 2
Let v(c) = 7*c**3 - 3*c**2 - 3*c + 1. Let u(z) = -8*z**3 + 4*z**2 + 4*z - 1. What is 3*u(m) + 4*v(m)?
4*m**3 + 1
Let b(t) = -1059 - 5*t + 26*t**2 + 1059 + 22*t. Let h(m) = 9*m**2 + 6*m. What is 6*b(q) - 17*h(q)?
3*q**2
Let w(u) = -u**2 + 79*u - 6. Let n(l) = l**2 - 80*l + 5. Calculate 6*n(z) + 5*w(z).
z**2 - 85*z
Let w(k) = -3*k + 2. Let u(b) = -b**2 + 4*b + 17. Let r be u(7). Let d(v) = 4*v - 2. Calculate r*d(c) - 5*w(c).
-c - 2
Let k(v) = v - 4. Let u(n) = -1. Give -2*k(l) + 6*u(l).
-2*l + 2
Let m(d) = -15*d**2 + 15. Let v(f) = -f**2 + 1. What is m(w) - 12*v(w)?
-3*w**2 + 3
Let k(m) = 2*m - 11. Let i(w) = 2*w - 10. Give -6*i(x) + 5*k(x).
-2*x + 5
Let v(a) = -6*a - 4. Let n(p) = 13*p + 9. Let i(d) = d**3 - 5*d**2 + 4*d - 9. Let o be i(4). What is o*v(k) - 4*n(k)?
2*k
Let h(w) = 5*w**2 - 3*w - 3. Let a(m) = 4*m**2 - 4*m - 2. Give 3*a(d) - 4*h(d).
-8*d**2 + 6
Let n(q) = 3*q**2 - 2*q - 5. Let g(i) = -2*i**2 + 2*i + 5. Give 2*g(f) + 3*n(f).
5*f**2 - 2*f - 5
Let a(q) = 2*q - 7. Let x be -4*(26/24 - (-18)/27). Let f(b) = 2*b - 6. Suppose -c = 4*c - 50. Suppose -c + 4 = -h. Give h*a(r) + x*f(r).
-2