- 2*p**2 + 1
Let m(g) = g**3 + g**2. Let d(h) = -6*h**3 + 5*h**2 + 2. Calculate d(o) - 5*m(o).
-11*o**3 + 2
Let m(k) = 60*k + 55. Let z(y) = -y - 1. Determine -2*m(t) - 110*z(t).
-10*t
Let b(o) = o**3 + 3*o**2 - 2*o + 5. Suppose -38*g + 28 = -42*g. Let r(c) = -3*c**3 - 7*c**2 + 4*c - 11. Determine g*b(u) - 3*r(u).
2*u**3 + 2*u - 2
Suppose 3*a = -0*a + 5*c + 30, 10 = a + c. Suppose a = 2*m + 3*y, 0 = 4*m - 5*y + 4 - 2. Let k(t) = 1. Let i(v) = -2*v**2 + 2. What is m*k(q) - i(q)?
2*q**2
Let r(i) = 2*i - 1. Let l(x) = -x**3 + 8*x - 5. Give 2*l(p) - 9*r(p).
-2*p**3 - 2*p - 1
Let w(g) = 7*g**3 + 10*g**2 + 4*g. Let q(z) = -z**3 - z**2 - 1. Let s(y) = 5*q(y) + w(y). Let p(v) = -3*v**3 - 7*v**2 - 6*v + 7. Calculate -5*p(x) - 7*s(x).
x**3 + 2*x
Let u(c) be the first derivative of 4*c**3/3 + 3*c**2/2 + 9*c - 3. Let d(f) = -2*f**2 - 2*f - 5. Calculate -5*d(i) - 3*u(i).
-2*i**2 + i - 2
Let h(p) = p. Let w(x) = -6*x + 1. Let g = 0 + -5. Let a(q) = g*h(q) - w(q). Let i(t) = -t**2 + 2. Determine 2*a(k) + i(k).
-k**2 + 2*k
Suppose -4*h + 31 = 3*w + h, -13 = -w - 3*h. Let d(q) = q**2 - w - 4*q + 3 + 3 + q**2. Let l(u) = -3*u**2 + 5*u + 1. Calculate 5*d(m) + 4*l(m).
-2*m**2 - 1
Let f(s) = -9*s**3 - 11*s**2 - 7*s - 11. Let u(c) be the third derivative of -c**6/24 - c**5/10 - c**4/6 - c**3 + 4*c**2. Give 6*f(b) - 11*u(b).
b**3 + 2*b
Let a(h) = 2*h**2 + 9*h + 1. Let d(v) = 4*v + 3 + v**2 - 3. Let m = -16 + 11. Calculate m*d(t) + 2*a(t).
-t**2 - 2*t + 2
Let m(o) = -3*o**2 - 3*o - 2. Let p(k) = k**2. Determine -m(n) - 4*p(n).
-n**2 + 3*n + 2
Let n(r) = -r**2 - r - 1. Let x(s) = 15*s**2 + 6*s + 6. Calculate -18*n(c) - 3*x(c).
-27*c**2
Let x(v) = -v. Let m(w) = -3. Let c(n) = -m(n) - 3*x(n). Let p(i) = i**2 - 7*i - 7. Determine -7*c(y) - 3*p(y).
-3*y**2
Let s(p) = -p - 1. Let a(i) = i. Let f(m) = 4*m - 3. Let t(k) = -6*a(k) + f(k). Calculate 3*s(q) - t(q).
-q
Let j(b) = -b + 1. Let y(g) = -1 + 4 - 1 + 3*g - 4. Determine 6*j(h) + 3*y(h).
3*h
Let u(z) = -z - 1. Let t(y) = 0*y + 6*y + 4*y - 7*y. Determine -t(i) - u(i).
-2*i + 1
Let n(d) = 8*d + 1. Let w(g) = 17*g + 2. Let i(t) = -13*n(t) + 6*w(t). Let v(h) = 6*h + 4. Determine 7*i(f) + 2*v(f).
-2*f + 1
Let k(i) = -7*i**2 + 4*i. Let p(c) = -176*c**2 + 99*c. Determine -99*k(l) + 4*p(l).
-11*l**2
Let n(q) = 9*q - 1. Let x(u) = -8*u + 1. Let h(g) = 2*n(g) + 3*x(g). Let t(m) = 5*m - 1. Give -4*h(i) - 5*t(i).
-i + 1
Let k(g) = -2*g**2 - g + 1. Let v(p) = 3*p**2 + p - 1. Let f(o) = 4*k(o) + 3*v(o). Let z(r) = r**3 + 5*r**2 - 9*r + 6. What is 5*f(c) - z(c)?
-c**3 + 4*c - 1
Let j(t) = 4*t**2 + 7*t - 3. Let x(a) = 17*a**2 + 29*a - 13. Calculate 9*j(w) - 2*x(w).
2*w**2 + 5*w - 1
Let q(y) = -y**2 - y + 1. Let r(a) = a**3 - 6*a**2 + 10*a - 7. Let l be r(4). Let k(u) = 2*u**3 + 8*u**2 + 7*u - 6. Determine l*k(x) + 6*q(x).
2*x**3 + 2*x**2 + x
Let l(z) = -5*z**3 + 4*z**2 - 4*z + 4. Let f(m) = m**2 - m**2 + 5*m - m**2 - 4*m - 1 + m**3. Give 4*f(h) + l(h).
-h**3
Let f(w) = 4*w**3 - 8*w**2 - w - 6. Let v(u) = 11*u**3 - 23*u**2 - 3*u - 17. Let i(b) = b**3 - 7*b**2 + 8. Let l be i(6). Let d = 11 + l. Give d*f(y) + 6*v(y).
-2*y**3 - 2*y**2 - y
Let z(h) = -5*h - 3. Let d(j) = j - 5. Let l be d(7). Suppose -u + 0*u = l*y - 11, -5*u - y = -10. Let g(k) = k + 1. Determine u*z(r) + 4*g(r).
-r + 1
Let o(u) = 14*u - 5. Let k = -34 - -26. Let h(y) = 5*y - 2. Calculate k*h(d) + 3*o(d).
2*d + 1
Let s(f) = -34*f**2 + 11*f - 16. Let h(r) = 7*r**2 - 2*r + 3. What is -11*h(v) - 2*s(v)?
-9*v**2 - 1
Let p(j) = 50*j - 15. Let l(o) = -7*o + 2. Determine -15*l(q) - 2*p(q).
5*q
Suppose 12 = -0*c - 2*c + 4*b, 2*c + 17 = 5*b. Let j(l) = 3*l - 2. Let m(z) = 8*z - 6. What is c*m(h) - 11*j(h)?
-h - 2
Suppose -31 = -y + 72. Suppose 4*v = y + 33. Suppose 9 = -5*r + v. Let c(w) = -9*w - 4. Let d(n) = 5*n + 2. Give r*d(k) + 3*c(k).
-2*k - 2
Let o(t) = -18*t + 12. Let x(v) = 7*v - 5. Give -5*o(i) - 12*x(i).
6*i
Let c(j) = 7*j + 2 - 2*j - 2*j - 1. Let a = -8 - -6. Let h(t) = -16*t - 6. Give a*h(z) - 11*c(z).
-z + 1
Let k(c) = 6*c**2 + 13*c + 13. Let p(y) = -3*y**2 - 7*y - 7. Calculate -6*k(o) - 11*p(o).
-3*o**2 - o - 1
Let c(i) = 16*i - 7*i - 6*i - 13*i + 5. Let a(v) = -29*v + 14. Calculate -6*a(r) + 17*c(r).
4*r + 1
Let d = 2 - 3. Let w(m) = m + 2. Suppose 5*g + 14 = -3*l, 2*l = 4*l + g. Let o(s) = 8*s - 3*s - 4*s + 0*s. Determine d*w(n) + l*o(n).
n - 2
Let y(s) = 6*s. Let m(k) = 17*k. Suppose -b + 13 = 5*l, -5*b + 2*l - 3*l + 17 = 0. Let i(u) = -b - u + 3 - 2. Let x be i(-6). Calculate x*m(w) - 11*y(w).
2*w
Let k be 1*2/4*6. Let z(s) = -s - 2. Let g(u) = u + 1. Determine k*z(b) + 5*g(b).
2*b - 1
Let u(m) be the third derivative of -m**6/15 - 7*m**5/60 + m**4/4 + m**3/3 + 11*m**2. Let x(s) = -s**3 - s**2 + s. Let g be 6/28*4*-7. Determine g*x(l) + u(l).
-2*l**3 - l**2 + 2
Let b(m) be the third derivative of m**5/60 - m**4/8 + 5*m**3/6 + 3*m**2. Let x(h) = 2*h**2 - 5*h + 9. Calculate 7*b(z) - 4*x(z).
-z**2 - z - 1
Let y(b) be the first derivative of -2*b**3/3 - b**2 + 3*b - 15. Let a(r) = -2*r**2 - 2*r + 4. Let d = 18 - 13. Give d*a(p) - 6*y(p).
2*p**2 + 2*p + 2
Let p(y) = 6 - 8*y**2 + 3*y**2 + 6*y + 1. Let m(s) be the second derivative of s**4/3 - 5*s**3/6 - 3*s**2 - 3*s. Calculate -7*m(x) - 6*p(x).
2*x**2 - x
Let b(n) = 3*n - n + 2 - 1 - n. Let j(w) = w**2 + 2*w. Calculate 3*b(v) - 2*j(v).
-2*v**2 - v + 3
Let q(y) = 1. Suppose -3*b + 0 = -6. Let g(t) = -t**2 + 6. What is b*g(k) - 14*q(k)?
-2*k**2 - 2
Let r(v) = 9*v - 43. Let n(m) = -13*m + 64. Give -5*n(t) - 7*r(t).
2*t - 19
Let n(v) = -2*v**2 + v - 4. Let r(g) be the second derivative of -g**4/6 - 3*g**2/2 - 15*g. What is -2*n(c) + 3*r(c)?
-2*c**2 - 2*c - 1
Let p(r) = -13*r. Let w(a) be the first derivative of 16*a**2 - 39. Give 12*p(o) + 5*w(o).
4*o
Let a(d) = -d - 1. Let k(j) = -24*j - 22. Give -132*a(v) + 6*k(v).
-12*v
Let g(b) = 3*b**2 + 18*b + 4. Let j(t) = 4*t**2 + 19*t + 5. What is 3*g(l) - 2*j(l)?
l**2 + 16*l + 2
Let d(w) = w**3 + w + 1. Let v(g) = 24*g**3 + 6*g + 6. Determine 6*d(u) - v(u).
-18*u**3
Let h(l) = -10*l**3 - 9*l**2 - 9*l + 9. Suppose 13*o - 19*o = 216. Let z(q) = q**3 + q**2 + q - 1. What is o*z(p) - 4*h(p)?
4*p**3
Let x(g) = 7*g**2 + g + 4. Let u(k) = -35*k**2 - 5*k - 20. Determine 2*u(v) + 11*x(v).
7*v**2 + v + 4
Let m(o) = -7*o + 1. Let q(a) = 8*a - 1. What is 6*m(t) + 5*q(t)?
-2*t + 1
Let f(r) = -4*r**3 + 3*r - 3. Suppose 4*v = 5*u - 13, 2*v - 26 = -6*u + 2*u. Let s = -8 + u. Let p(d) = 9*d**3 - 7*d + 7. Calculate s*p(z) - 7*f(z).
z**3
Let q(x) be the first derivative of x**5/60 + x**4/8 + x**3/3 + 1. Let s(c) be the third derivative of q(c). Let h(o) = 3*o + 5. What is 4*h(m) - 7*s(m)?
-2*m - 1
Let t(g) = 5*g**2 - 4*g + 5. Let b(s) = -s**3 + 3*s**2 + 10*s - 18. Let r be b(4). Let y(d) = 6*d**2 - 5*d + 6. Give r*y(h) - 7*t(h).
h**2 - 2*h + 1
Let i(u) = -7*u + 2. Let y(q) = -10*q + 3. Let z(l) = -2*l - 5. Let t = -5 + 0. Let d be z(t). Let v = 26 - 33. Determine d*y(j) + v*i(j).
-j + 1
Let x(m) = m - 3. Let w(g) be the first derivative of 8*g - 3/2*g**2 + 4. Give -3*w(b) - 8*x(b).
b
Let x = 58 + -54. Let c(f) = -5*f - 2. Let p(w) = -w - 1. Give x*p(z) - c(z).
z - 2
Let d(x) be the third derivative of -x**4/12 - x**3/2 + 289*x**2. Let k(z) = 5 - 1 + 2*z + 0*z. Calculate -4*d(q) - 3*k(q).
2*q
Let y = 13 - 22. Let d(g) = 2*g - 2. Let n(a) = -8*a + 8. Let v(h) = -h**2 + 2*h + 8. Let j be v(-5). Let b be (-6)/4*(-36)/j. Determine b*n(m) + y*d(m).
-2*m + 2
Let p(u) = 4*u - 5. Suppose -2*y - 7*a = -3*a + 10, y - 5 = 3*a. Let l(r) = -3*r**3 + r + 1. Let z be l(y). Let s(c) = 5*c - 6. What is z*s(n) - 4*p(n)?
-n + 2
Let h(m) = 85*m**3 - 25*m**2 - 25*m + 25. Let v(z) = -14*z**3 + 4*z**2 + 4*z - 4. What is 4*h(x) + 25*v(x)?
-10*x**3
Let d(z) = 8*z**2 - 9*z - 6. Let l(p) = -4*p**2 + 4*p + 3. Let x(f) = -6*d(f) - 13*l(f). Let a(h) = -23*h**2 - 11*h + 17. What is -6*a(c) - 34*x(c)?
2*c**2 - 2*c
Let f(y) = -3*y. Let s = 51 - 56. Let i(c) = 6*c - 1. Calculate s*f(k) - 2*i(k).
3*k + 2
Let z(j) = -2*j**3 + 2*j + 2. Suppose -1 = 2*p - 7. Let r(m) = m**3 - 3*m + m**3 - 3 - m**p + m**3. Give -2*r(k) - 3*z(k).
2*k**3
Let j(l) = l**2 - l + 1. Let i(f) = -f + 2*f**2 + 8*f**3 - 6*f**3 - 2 - 5*f**2 + 2*f. Give i(z) + 2*j(z).
2*z**3 - z**2 - z
Let x(w) = w**2 - 2*w. Suppose -8*h - 10*h + 36 = 0. Let o(v) = v**2 - 2*v