n**2 + 3. Let g(j) = 3*j**3 - 2*j**2 - 2. What is 6*g(s) + 4*v(s)?
10*s**3
Let z(u) = -9*u + 3. Let p(w) = 8*w - 2. What is -3*p(y) - 2*z(y)?
-6*y
Let k(z) = -z**2 - z. Let u(o) = 2*o**3 + 3*o**2 + o. Let p be 6*20/(-6) - 0. Let v be (-7)/5 - 8/p. Let l be (v - -2)/2*-6. Give l*k(s) - u(s).
-2*s**3 + 2*s
Let t(c) = -c**3 - 41*c - 14. Let i(n) = 14*n + 5. Give -8*i(v) - 3*t(v).
3*v**3 + 11*v + 2
Let o(q) = 2. Let y(w) = -w - 2. Let x(a) = -7*o(a) - 6*y(a). Let r(p) = -p. Calculate 4*r(i) + x(i).
2*i - 2
Let o(h) = -h**2 + 1. Let g(p) = -2*p**2 + 3*p. Calculate g(s) - o(s).
-s**2 + 3*s - 1
Let l(o) = -o - 1. Let s = 7 - 5. Suppose -s*u + 1 - 3 = 0. Suppose -3*c + 6*z + 1 = 2*z, -2 = 4*c - 2*z. Let y(p) = -p - 1. Determine c*y(i) + u*l(i).
2*i + 2
Let o(p) = -9*p**3 + 5*p**2 + 5. Let w(v) = -4*v**3 + 2*v**2 + 2. Suppose 5*q = 3*d + 2*q + 30, 5*d + 40 = 3*q. Calculate d*w(c) + 2*o(c).
2*c**3
Let n(k) = 2*k**3 + 3*k**2 - 3*k. Suppose 7 = 9*f + 70. Suppose -5*z = -5*i, -6*i + 2*i = z + 15. Let q(p) = -5*p**3 - 7*p**2 + 7*p. Calculate f*n(o) + i*q(o).
o**3
Let l = 12 - 15. Let r(v) = -v**3 + 2. Let p(m) = -m**3 + m**2 + m + 3. Let k = -3 - -5. What is k*p(j) + l*r(j)?
j**3 + 2*j**2 + 2*j
Let h(k) = -8*k**2 - k + 5. Let o(y) = 11*y**2 - 3*y. Let x(z) = -z**2 + z - 1. Let c(f) = o(f) + 4*x(f). What is 6*c(j) + 5*h(j)?
2*j**2 + j + 1
Let f(g) = -12*g**3 + 5*g**2. Let s(u) = -11*u**3 + 4*u**2. Determine -4*f(t) + 5*s(t).
-7*t**3
Let a(m) = m - 3 + m - 4*m + 6*m. Let x(v) = 2*v - 2. Let d(b) = b**3 + 6*b**2 + 5*b - 4. Let p be d(-5). What is p*a(q) + 7*x(q)?
-2*q - 2
Suppose 0 = -4*z + 13 + 3. Suppose -5*d = -6 - z. Let r(p) = 1 - 2 + 5*p + 3*p**d - 4. Let f(x) = 2*x**2 + 4*x - 4. What is -5*f(m) + 4*r(m)?
2*m**2
Let i(a) = 7*a**2 + 6*a + 5. Let f(w) = -70*w + 71*w + 1 + w**2 + 0*w**2. Give 6*f(r) - i(r).
-r**2 + 1
Let b(p) = -25*p + 10. Let x(v) = v - 1. What is -3*b(f) - 30*x(f)?
45*f
Let s(d) = -4*d**3 + 2. Let n(f) be the third derivative of -f**6/120 - f**5/60 + f**3/6 - 6*f**2. Calculate -2*n(z) + s(z).
-2*z**3 + 2*z**2
Let k(y) = -15*y**3 - 15*y**2 - 9*y + 11. Let w(r) = -8*r**3 - 8*r**2 - 5*r + 6. Determine 6*k(l) - 11*w(l).
-2*l**3 - 2*l**2 + l
Let h(t) = 4*t**2 + 9*t + 13. Let p(q) = -2*q**2 - 4*q - 6. Determine -3*h(l) - 7*p(l).
2*l**2 + l + 3
Let b(l) = l**2 + 1. Let z(c) be the first derivative of c**4/2 + c**3 - c**2/2 + 3*c - 8. What is 3*b(w) - z(w)?
-2*w**3 + w
Let w(s) = 1 - 6 - s + 4. Suppose 2*q + 2*q = -12. Let x(b) = b + 4. Let p(f) = -f**2. Let g be p(1). Calculate g*x(v) + q*w(v).
2*v - 1
Let o = -6 - -1. Let s(m) = 2*m - 2 - 4 - 1 + 4*m**2. Let d(a) = a**2 - 1. Let v(g) = 6*g**2 + 2*g - 9. Let n(y) = 3*d(y) - v(y). What is o*n(q) - 4*s(q)?
-q**2 + 2*q - 2
Let c(j) = -24*j**3 + 5*j**2 - 4. Let p(o) = -48*o**3 + 11*o**2 - 9. Calculate 9*c(t) - 4*p(t).
-24*t**3 + t**2
Let t(h) = 1870*h**2 - 85. Let l(f) = -89*f**2 + 4. Calculate -85*l(p) - 4*t(p).
85*p**2
Let z(w) = -6*w**2 + 17*w + 14. Let k(u) = 2*u**2 - 6*u - 5. Let g be 2/(-13) + 669/39. Determine g*k(i) + 6*z(i).
-2*i**2 - 1
Let m(h) = -h**3 + 7*h**2 + 5*h - 7. Let r(u) = 3*u**2 + 2*u - 3. What is -6*m(i) + 14*r(i)?
6*i**3 - 2*i
Let d(y) = -2*y**2 - 8*y + 0 + 1 + 9*y. Let f(i) = -11*i**2 - i + 12. Let u(z) = 3*z**2 - 3. Let t(h) = -2*f(h) - 9*u(h). What is -7*d(v) + 3*t(v)?
-v**2 - v + 2
Let h(d) = -3*d + 2. Let q(r) = 10*r - 11. Let j(f) = -1. Let w(n) = -4*j(n) + q(n). Let o(m) = 7*h(m) + 2*w(m). Let y(c) = 4*c + 1. Calculate 3*o(p) + y(p).
p + 1
Let x(i) = -4*i + 2. Let n(w) be the second derivative of w**3/6 - w. Suppose 0 = -4*l - 9 - 3. Calculate l*n(m) - x(m).
m - 2
Let h(f) = -f + 1. Let u(d) = -2*d**3 - 4*d - 1. Calculate 4*h(n) - u(n).
2*n**3 + 5
Let d(t) = -7*t**3 - 9*t**2 + 11*t + 7. Let p(g) = -18*g**3 + 3 + 1 - 5*g**2 + 14*g**3 + 6*g. Give 6*d(u) - 11*p(u).
2*u**3 + u**2 - 2
Let a(q) = -q + 1. Let n(m) = -10*m + 17. Give -18*a(t) + 2*n(t).
-2*t + 16
Let s(j) = -j - 1. Let c(i) be the first derivative of -i**2 - 1. What is c(z) - s(z)?
-z + 1
Suppose 5 = -2*v + 1. Let f(m) = -m**2 - 1. Let k(r) = 17*r**2 - 9*r - 3. Let x(n) = -8*n**2 + 4*n + 1. Let y(g) = 4*k(g) + 9*x(g). Calculate v*y(w) + 6*f(w).
2*w**2
Let i(d) = 10*d + 2. Let w(m) = 9*m + 1. Determine -2*i(v) + 3*w(v).
7*v - 1
Let m(p) = -p**2 - 2*p - 4. Let u(w) = -3*w**2 - 3*w - 9. Calculate -5*m(a) + 2*u(a).
-a**2 + 4*a + 2
Let s(w) = 10*w**2 + 3*w - 13 - 4*w - 14*w**2. Let c(n) = -n**2 - 4. Give -7*c(d) + 2*s(d).
-d**2 - 2*d + 2
Let z(v) = -19*v**3 - 7*v**2 + 9*v - 7. Let b(n) = -10*n**3 - 4*n**2 + 5*n - 4. Give 7*b(s) - 4*z(s).
6*s**3 - s
Let u(w) = 71*w**2 + 5*w. Let x(g) = -71*g**2 - 4*g. Give 4*u(h) + 5*x(h).
-71*h**2
Let c(x) = 36*x**3 - 3*x**2 - 3. Let s(b) = 35*b**3 - 4*b**2 - 4. Determine -4*c(v) + 3*s(v).
-39*v**3
Let h(t) = -t**3 + 5*t**2 - 4*t. Let o(a) = -a**3 + 6*a**2 - 5*a. Let x be -1 + (-8)/((-40)/(-15)). Let p(w) = 6*w - 1. Let g be p(1). Give g*h(d) + x*o(d).
-d**3 + d**2
Let f(x) be the first derivative of -3*x**2/2 - 6. Let h(p) = p. Determine 4*f(i) + 9*h(i).
-3*i
Suppose v + 0*v = 3*c, 4 = -v + 5*c. Let t(m) = -m**2 + 2. Suppose 2*i + 5*i = -231. Let u(a) = -6*a**2 + 11. Determine i*t(w) + v*u(w).
-3*w**2
Let r(k) = 9*k**3 - k**2. Let d(q) = -6*q**3 + q**2. Determine 7*d(h) + 5*r(h).
3*h**3 + 2*h**2
Let n(y) = 2*y**3 - 4*y**2 - 4. Let b be (-2 - (0 - -4))/(-2). Let p(a) = 0*a**3 - 2*a**3 + a**3 + 0*a**3 + 3*a**2 + b. Give -4*n(q) - 6*p(q).
-2*q**3 - 2*q**2 - 2
Let t(n) = -5*n**2 - 4*n - 5. Let s(c) = -23*c**2 - 9*c - 23. Let q(w) = 11*w**2 + 5*w + 11. Let u(r) = 5*q(r) + 2*s(r). Give -7*t(v) - 4*u(v).
-v**2 - 1
Let o(x) = -2*x**3 + 7*x**2. Let n(q) = -q**2 + 1. Give 4*n(z) + o(z).
-2*z**3 + 3*z**2 + 4
Let j(v) = -v**3 - v**2 + v. Let h(b) be the second derivative of -3*b**5/10 - b**4/3 + b**3/3 - b**2/2 + 8*b. Calculate h(i) - 4*j(i).
-2*i**3 - 2*i - 1
Let w(g) = -2*g + 7. Suppose 5*r = 20, 5*o + 0*o = -5*r + 20. Let v(z) = o + 2*z - 3*z + 6. What is -5*v(q) + 4*w(q)?
-3*q - 2
Let l(a) = a**3 + 3*a**2 + 3*a. Let w(s) = s**3 + 7*s**2 + 7*s - 1. What is -7*l(y) + 3*w(y)?
-4*y**3 - 3
Let z(m) = -6*m**2 + 13*m + 8. Let p(x) = 2*x**2 - 4*x - 3. Calculate -8*p(s) - 3*z(s).
2*s**2 - 7*s
Let j(h) = h**2 - 3*h. Suppose r - 2 = -0*r. Let t(v) = r + 0 - 2*v - 2. What is -2*j(s) + 3*t(s)?
-2*s**2
Let m(d) be the third derivative of -4*d**2 + 0 + 0*d - 2/3*d**3 + 5/24*d**4. Let a(j) = -14*j + 11. What is -4*a(b) - 11*m(b)?
b
Let s(t) = 26*t**3 - 21*t**2 + 17*t. Let r(x) = 9*x**3 - 7*x**2 + 6*x. Give 17*r(u) - 6*s(u).
-3*u**3 + 7*u**2
Let t(s) = 1. Let l = 7 - 11. Let h(m) = m**3 - 6*m**2 + 5*m + 2. Let q be h(5). Let y = q + l. Let k(f) = f**2. Determine y*k(o) + 2*t(o).
-2*o**2 + 2
Let a(g) = -4*g**3 + 2*g**2 + 6*g + 4. Let j(l) = -3*l**3 + 2*l**2 + 5*l + 3. Suppose -3*w + 5*w = 4, 32 = 5*z + w. Give z*j(q) - 5*a(q).
2*q**3 + 2*q**2 - 2
Let q(r) be the second derivative of -r**5/10 - 2*r. Suppose -2 = -3*t + 4. Let x(p) = -5*p**3 + t*p**3 + 2*p**3. Calculate -3*q(v) + 4*x(v).
2*v**3
Let a(o) = -13*o**2 - 6*o - 7. Let d(l) = l**2 + l + 1. Determine -a(u) - 6*d(u).
7*u**2 + 1
Let p(k) = k**3 - k**2 + 1. Let r(m) = -4*m**3 + 5*m**2 + 2*m - 16. What is -5*p(y) - r(y)?
-y**3 - 2*y + 11
Let s(t) = 5*t - 8. Let l(o) = 6*o - 9. Suppose -12 = -3*x + 9. What is x*s(m) - 6*l(m)?
-m - 2
Let g(z) = z**3 - z**2 + z. Let r(f) = -13*f**3 + 6*f**2 - 6*f. Calculate 6*g(w) + r(w).
-7*w**3
Let d(k) = -3*k**3 - 11*k**2. Let o(g) = g**3 - 2*g**2 - 6. Let l(a) = -a**2 - 1. Let n(v) = 6*l(v) - o(v). What is -4*d(q) + 11*n(q)?
q**3
Let s(w) = w**3 + 3*w**2 - 3. Let t(o) = -4*o**3 - 10*o**2 + 10. Give -20*s(q) - 6*t(q).
4*q**3
Let m(r) = -8*r**2 + 5*r - 3. Let o(y) = y**2 - y. Give -m(s) - 4*o(s).
4*s**2 - s + 3
Let d(i) = -i**2 - i - 1. Let o(l) = 2*l**2 - l + 1. Let z = -11 + 10. Give z*o(p) + d(p).
-3*p**2 - 2
Let o(q) = -1. Let n(h) = -h**3 - 2*h**2 + 2*h - 1. Let i be n(-3). Let d(m) = 4 + 2*m - 5*m + i*m. Suppose 2*b + b = -12. Determine b*o(p) - d(p).
p
Let b(x) = -5*x**2 - 2*x - 5. Let w(y) = -3*y**2 - y - 2. Determine -2*b(z) + 5*w(z).
-5*z**2 - z
Let j(r) be the second derivative of 11*r**4/12 - 7*r**3/6 - 5*r**2/2 + 13*r. Let u(w) = -2*w - w**2 - 2 - w + 6*w**2. Let p = 6 - -1. What is p*u(k) - 3*j(k)?
2*k**