+ 1. Calculate 2*g(v) - 3*p(v).
4*v - 1
Let r = -3 + 7. Let v(c) = 10*c + 4. Let p(a) be the first derivative of 3*a**2/2 + a + 5. Give r*v(h) - 14*p(h).
-2*h + 2
Let h(q) = q - 1. Let u(m) = 6*m - 8. What is 4*h(b) - u(b)?
-2*b + 4
Let v(u) = -u + 4. Let d(x) = -x**3 - 5*x**2 + 7*x + 9. Let o be d(-6). Let q(a) = -5 + 1 + o. Let j = -3 - 3. Give j*q(s) - v(s).
s + 2
Let r(d) = -d**2 - 3*d + 1. Let f(x) = 4*x**2 + 14*x - 4. Let c(s) = 3*f(s) + 14*r(s). Let y(w) = -4*w**2 + 4. Give 11*c(m) - 6*y(m).
2*m**2 - 2
Let d(t) = -2*t - 13. Let o(h) = -h. Calculate d(p) - 4*o(p).
2*p - 13
Let i(s) = -4*s**2 + 9*s - 5. Let p(t) be the second derivative of -t**4/6 + 5*t**3/6 - 3*t**2/2 - 18*t. Give 3*i(z) - 5*p(z).
-2*z**2 + 2*z
Let w(v) be the third derivative of v**4/8 + v**3/6 + 2*v**2. Let u(j) = -j - 3 + 3. Suppose -h - 2*m = 5, -3*h - 2*h - 4*m - 25 = 0. Give h*u(n) - 2*w(n).
-n - 2
Let v(m) = 3*m**3 - 18*m**2 + 8*m. Let n(y) = -y**3 + 6*y**2 - 3*y. Determine 8*n(q) + 3*v(q).
q**3 - 6*q**2
Let k(i) = -11*i**2 + 5. Let m(p) = -44*p**2 - 5*p + 23. Let h(a) = 87*a**2 + 9*a - 45. Let b(s) = 5*h(s) + 9*m(s). Determine -5*b(x) - 18*k(x).
3*x**2
Let u(i) = -i**3 - i**2 + 13*i. Let p(n) = -n**2. Give 2*p(l) - u(l).
l**3 - l**2 - 13*l
Let q(l) = -l**2 - 4*l - 2. Let x(m) = 6*m**2 + 21*m + 10. Give 11*q(a) + 2*x(a).
a**2 - 2*a - 2
Let o(q) = -q**2 - q + 1. Let g(a) = 23*a**3 - 3*a**2 - 3*a + 3. Determine -g(z) + 3*o(z).
-23*z**3
Let a be -2*(1 + 1/2). Let i(o) be the second derivative of -5*o**4/12 + 3*o**2/2 - 3*o. Let u(f) = 6*f**2 - 4. Give a*u(v) - 4*i(v).
2*v**2
Let g(i) = i - 5. Let w(a) = -3*a + 14. What is -17*g(k) - 6*w(k)?
k + 1
Let b be 6/(-4)*(-12)/6. Let y(w) = -2 - 2*w**2 + 4*w**3 + 4*w**3 - 2*w**3 - b*w**3. Let f(u) = -7*u**3 + 5*u**2 + 5. Calculate 2*f(g) + 5*y(g).
g**3
Let m(d) = d. Let n(s) = -4*s**2 - 21*s - 7*s + 22*s. Give -6*m(w) - n(w).
4*w**2
Let i(n) = -6*n - 2. Suppose -2*c + 4 = j, j = 4*j + 2*c - 12. Let m(w) = -5*w - 1. What is j*m(u) - 3*i(u)?
-2*u + 2
Let w(s) = -9*s - 3. Let o(b) = 8*b + 2. Determine 6*o(n) + 5*w(n).
3*n - 3
Let z(y) = 8*y + 7. Let o(x) = 17*x + 13. Determine -6*o(l) + 13*z(l).
2*l + 13
Let f be (-1 - (-5 - -3))*1. Let z(s) be the first derivative of f - 1/2*s**2 + s. Let v(p) = p - 2. Calculate -v(t) - 2*z(t).
t
Let m(k) = -k**3 - 7*k**2 - 6. Let a(s) = -2*s**3 - 15*s**2 - 13. Suppose 52 = 4*g + 2*y, 0 = 5*g + y - 2*y - 65. What is g*m(j) - 6*a(j)?
-j**3 - j**2
Let i(n) = 4*n + 3 + 6*n + 9 - 2 - 3*n**2. Let g(t) = -2*t**2 + 7*t + 7. Calculate 7*g(u) - 5*i(u).
u**2 - u - 1
Let j(c) = -2*c + 27. Let d(m) = -1. Give -5*d(k) - j(k).
2*k - 22
Let g(p) = 4*p + 5. Let m(x) = x + 1. Calculate -2*g(f) + 9*m(f).
f - 1
Let c(z) = z**2. Let u(d) = 332*d**2 + 330*d**2 - 663*d**2. Suppose -3*x - f = 9, -5*f - 2 - 7 = -3*x. Let p be 3/x + (-2)/(-4). Determine p*u(a) + c(a).
2*a**2
Let f(j) = 2*j + 2*j - 2 - 2*j. Let h = 81 - 84. Let u(b) = b. Give h*u(i) + f(i).
-i - 2
Let o(i) = 3*i**2 - i - 7. Let d(c) = 2*c**2 - 4. Calculate -5*d(w) + 3*o(w).
-w**2 - 3*w - 1
Let p(r) = -6*r**2 - 3. Suppose -7 = -5*d - 32. Let f(i) = -i**2 - 1. Calculate d*f(q) + p(q).
-q**2 + 2
Let d(w) be the first derivative of 2*w**3/3 - 7*w**2/2 - 4. Let m(r) = -4*r**2 + 13*r. Give -11*d(z) - 6*m(z).
2*z**2 - z
Let t = 12 + -10. Let q(s) = -4*s - 2. Let y(v) = -5*v - 3. What is t*y(p) - 3*q(p)?
2*p
Let z(u) be the first derivative of -u**2 - u - 1. Let r(b) = -b. Suppose 4*n = 6*n - 28. Suppose 2*c = -4*o, c - n = 4*c - o. Calculate c*r(i) + z(i).
2*i - 1
Let y be (-4 + 6 - 1)*-1. Let r(z) be the third derivative of 1/12*z**4 + 0*z**3 - 1/12*z**5 + 0 + 0*z - 2*z**2. Let x(k) = -k**2. Calculate y*r(w) + 6*x(w).
-w**2 - 2*w
Let l(f) = 6*f**2 + 5*f - 4. Let k(j) = -3*j**2 - 3*j + 2. Calculate 7*k(u) + 4*l(u).
3*u**2 - u - 2
Let u(o) = -3*o**3 - 5*o - 5. Let k(c) = -c**3 + c**2 + c - 1. Let t(s) = 10*s**3 - 6*s**2 + s + 13. Let w(x) = 6*k(x) + t(x). Determine 7*u(i) + 5*w(i).
-i**3
Suppose 29 = -5*r - 1. Let j(i) = 4*i + 5. Let q(n) be the first derivative of 5*n**2/2 + 6*n - 1. Determine r*j(a) + 5*q(a).
a
Let p(x) = -x**2 - 1. Let j(f) = -3*f**3 + 5*f**2 - 2*f + 3. Determine j(z) + 3*p(z).
-3*z**3 + 2*z**2 - 2*z
Let y(z) = z + 1. Let l(i) = i. Give -6*l(o) - y(o).
-7*o - 1
Let a(q) = 5*q**3 + 37*q**2 + 2*q - 1. Let o(l) = -14*l**3 - 110*l**2 - 6*l + 2. Give -8*a(f) - 3*o(f).
2*f**3 + 34*f**2 + 2*f + 2
Suppose 4*m = 3*l - 1, -l = 3*l + m + 5. Let v(x) = x. Let t(c) = -4*c - 1. What is l*t(o) - 6*v(o)?
-2*o + 1
Let h(l) = 96*l**2 - 111. Let j(t) = -6*t**2 + 7. Give -2*h(q) - 33*j(q).
6*q**2 - 9
Let q(k) be the first derivative of 1/2*k**2 - 2 - k. Let h(y) = -y + 2. Determine -2*h(l) - 4*q(l).
-2*l
Let u(h) = h + 2. Let s(l) = 3*l - 8. Let d(v) = -v - 1 + 2 + 0 + 0*v. Let n(z) = -4*d(z) - s(z). Calculate -3*n(i) + 5*u(i).
2*i - 2
Let y(d) = 6*d**2 - 5*d - 9. Let v(p) = 2*p**2 - 2*p - 3. Calculate 8*v(g) - 3*y(g).
-2*g**2 - g + 3
Let j(w) = 6*w**3 - 4*w**2 - 4*w + 3. Let f(y) be the third derivative of 7*y**6/120 - y**5/12 - 5*y**4/24 + y**3/2 - 13*y**2. What is -4*f(i) + 5*j(i)?
2*i**3 + 3
Let w(a) = 4*a - 37 - 6*a + 28 + 9*a. Let u be (-46)/((-1)/((-1)/(-2))). Suppose -u = -3*o - 8. Let c(g) = -3*g + 4. Calculate o*c(s) + 2*w(s).
-s + 2
Let t(d) = 34*d - 2. Let m(c) = 51*c - 3. Give 5*m(u) - 8*t(u).
-17*u + 1
Let d(o) = -o - 1. Let t(m) = m - 5. Give 2*d(a) + t(a).
-a - 7
Let w(o) = -o**2 + 4*o + 4. Let j(b) be the first derivative of 2*b**3/3 - 7*b**2/2 - 7*b - 6. Give 4*j(n) + 7*w(n).
n**2
Let u(w) = -2*w - 7. Let y(i) = 7*i + 27. Determine -22*u(g) - 6*y(g).
2*g - 8
Let b(i) = -3*i**3 - 5*i**2 + 4*i + 1. Let t(h) = h**2 + h - 1. What is -b(x) - t(x)?
3*x**3 + 4*x**2 - 5*x
Let v(r) = -2*r + 1. Suppose 0*w = 5*o - 3*w - 11, -3*o = -2*w - 6. Let a(x) be the first derivative of x**2 - 2*x - 4. Determine o*v(f) + 3*a(f).
-2*f - 2
Let l(t) = -23*t**3 + 5*t**2 - 5*t - 5. Let o(s) = -35*s**3 + 8*s**2 - 8*s - 8. Give -8*l(c) + 5*o(c).
9*c**3
Let w(s) = -20*s**2 - 6*s - 20. Suppose -112*d - 30 = -117*d. Let u(p) = 7*p**2 + 2*p + 7. Let g be (-1)/(((-4)/34)/2). Give d*w(f) + g*u(f).
-f**2 - 2*f - 1
Let n(y) = y**2 - 1. Let h(c) be the second derivative of -c**2/2 - 4*c. Determine -3*h(r) + 3*n(r).
3*r**2
Let k(y) = 4*y**2 - 2*y + 9. Suppose -2*w - 2*a - 13 = 3*w, -7 = 2*w - a. Let z(o) = -2*o**2 + o - 5. What is w*k(f) - 5*z(f)?
-2*f**2 + f - 2
Let m(l) = -14*l**2 - 12*l - 10. Let g(w) = 3*w + 1 + 0*w**2 - 2*w + w**2. Let p(v) = v**3 + 7*v**2 + 9*v - 6. Let j be p(-5). Determine j*m(b) - 12*g(b).
2*b**2 - 2
Let p(d) = d + 5. Let n(a) = -1. Let l(m) = 1. Let f(o) = 2*l(o) + 3*n(o). Give -11*f(v) - 2*p(v).
-2*v + 1
Let c(i) = 3*i**2 + 4*i - 4. Let n(l) = -12*l**2 - 16*l + 17. Give 9*c(d) + 2*n(d).
3*d**2 + 4*d - 2
Let d(r) = 2*r - 46. Let g(u) = -u + 23. Give -2*d(t) - 5*g(t).
t - 23
Let y be 1/(-3 - 2*-1). Let d(l) = -l**2 - l - 5. Let w(m) = 1. Let z(b) = d(b) + 5*w(b). Let u(n) = -n + 3*n**3 - 6*n**3 + 2*n**3. Calculate y*z(o) + u(o).
-o**3 + o**2
Let h = 51 - 50. Let y(v) = 2*v**2 - 4*v - 2. Let a be (-1)/3 + (-14)/(-6). Let r(c) = c + 1. What is a*r(m) + h*y(m)?
2*m**2 - 2*m
Let q(z) = 12*z**2 - 7*z + 8. Let k(u) = -3*u**2 + 2*u - 2. Let l(t) = -9*k(t) - 2*q(t). Let x(a) = -6*a**2 + 9*a - 4. What is 9*l(p) + 4*x(p)?
3*p**2 + 2
Let w(z) = -3*z**3 + 30*z. Let o(j) = -7*j**3 + 60*j. Calculate 2*o(v) - 5*w(v).
v**3 - 30*v
Let c(t) = -528*t. Let f(g) = 17*g. What is -6*c(m) - 187*f(m)?
-11*m
Let t(k) be the second derivative of 17*k**3/6 + k**2 - 2*k. Let z(p) = -8*p - 1. What is 6*t(s) + 13*z(s)?
-2*s - 1
Let o(k) = -6*k - 11. Let n be 98/6 - 10/(-15). Let q(g) = 2*g + 4. Calculate n*q(m) + 6*o(m).
-2*m + 2
Let v(l) = 3*l - 2. Let j be -6 + (-2 + 4)*2. Suppose -5*d + 8*d - 3 = 0. Let t(i) = -2 + 0*i + i + d. Determine j*t(w) + v(w).
w
Let x(p) = 5*p**3 + 6*p**2 - 6*p + 6. Let k = 4 + -1. Let c(w) = 5*w**2 + w**3 - 5*w + 7*w**3 - 4*w**k - 29 + 34. What is -6*c(i) + 5*x(i)?
i**3
Let d(v) = -v**3 + 6*v**2 - 6*v + 6. Let m = 53 - 54. Let o(l) = -l**2 + l - 1. Calculate m*d(j) - 6*o(j).
j**3
Let d(u) = -4*u**2 + 5*u + 6. Suppose -5*t - 14 = -6*q + 2*q, 0 = -q + 1. Let i(h) = -h**2 + h + 1. Let n be (8/10)/(6/75). Calculate n*i(l) + t*d(l).
-2*l**2 - 2
Let j(r) = 