- 4. Give -5*r(m) - 3*v(m).
-37*m**2 + 2
Let h(t) = -2 + 10*t - 5*t - 8*t. Let x(q) = -5*q - 4. Give -7*h(i) + 4*x(i).
i - 2
Let a(h) = 2*h + 5. Let k(q) = 1. Let m(j) = j + 2. Let i be m(-2). Suppose -t - 8 + 24 = i. Let f be (t/6)/((-2)/(-3)). Calculate f*k(p) - a(p).
-2*p - 1
Let j(l) = l**3 - l**2 - l. Let w(v) = -3*v**3 - 3*v**2 + 2*v. Give 2*j(u) + w(u).
-u**3 - 5*u**2
Let r(x) = x**2 + 1. Let p(l) = 2*l**2 - 5*l + 4. Determine p(i) - 4*r(i).
-2*i**2 - 5*i
Let t(m) = 2*m**2 + 3*m. Suppose -2*j + 3 = -5*j. Let y be j*(1 + -2 + 4). Let p(g) = -g. What is y*p(i) - t(i)?
-2*i**2
Let m(u) = -u**3 - u**2 - 1. Let q(y) = -4*y**3 - 2*y**2 - 2. Calculate -4*m(t) + 2*q(t).
-4*t**3
Let o(b) = 2 + 0*b - 9 - 2*b. Let m be 13/3 - (-22)/33. Let n(p) = 2*p + 6. Calculate m*n(l) + 4*o(l).
2*l + 2
Let c(x) = x**3 - 6*x. Let m(p) = -14*p**3 + 77*p. Determine 77*c(o) + 6*m(o).
-7*o**3
Let t(c) = 11*c**2 - 7*c - 7. Let x(j) = -5*j**2 + 3*j + 3. Let h be ((-6)/9)/(6/(-63)). What is h*x(k) + 3*t(k)?
-2*k**2
Let g = -22 + 28. Let c(k) = 6*k**3 + 11*k**2 + 17*k - 14. Let j(t) = -6*t - 6*t**3 - 4*t**2 + 4*t**3 + 5 + 0*t**3. What is g*c(x) + 17*j(x)?
2*x**3 - 2*x**2 + 1
Let g(a) be the first derivative of 6*a + 1/2*a**2 + 2. Let r(h) = -1. Give g(i) + 6*r(i).
i
Let m(z) = -4*z**2 + 4*z**2 - 3*z**2 + 2*z. Let o(w) = -21*w**2 + 15*w. Calculate -15*m(v) + 2*o(v).
3*v**2
Let c(t) = -t - 1. Let o(v) = v**2 + 9*v + 3. Let l be o(-9). Let p(b) be the third derivative of -b**4/24 - 2*b**3/3 + 5*b**2. Calculate l*c(n) - p(n).
-2*n + 1
Suppose l - 8 = -3*l. Let o(m) = 2 - 3 - 3*m + l*m. Let t(c) = -4*c. Let d = 4 + -3. What is d*t(h) - 2*o(h)?
-2*h + 2
Let u(v) = -4*v + 2. Let r be 22/(-4)*(6 - 4). Let i(z) = z**2 - 21*z + 11. Let d = 20 - 18. Give d*i(y) + r*u(y).
2*y**2 + 2*y
Let p(j) = 9*j**3 + 14*j - 20. Let r(n) = -3*n**3 - 5*n + 7. Give -6*p(q) - 17*r(q).
-3*q**3 + q + 1
Let a be (-220)/(-672) + 10/(-35). Let u(q) be the third derivative of -a*q**4 + 0*q + 0 + 3*q**2 + 0*q**3. Let c(i) = i**2 + 3*i. Calculate -c(o) - 3*u(o).
-o**2
Let g(n) = -n**3 + n**2 - n - 1. Suppose -10 = 4*m + 6. Let j(o) = -o**2 - 5*o - 2. Let d be j(m). Let w(v) = -3*v**2 + 2. Calculate d*g(x) + w(x).
-2*x**3 - x**2 - 2*x
Let n(c) = 1. Let m(z) = -38*z + 2. Calculate -m(s) + 2*n(s).
38*s
Let h(r) = -9*r**3 + 6*r**2 - 6*r - 6. Let c(t) = -18*t**3 + 11*t**2 - 11*t - 11. Determine 6*c(q) - 11*h(q).
-9*q**3
Let t(w) = 5*w**3 + 11*w**2. Suppose -2*b + 16 = 2*r - 8, 4*b = -r + 54. Suppose -b = -2*v + 8. Let u(h) = h**3 + 2*h**2. What is v*u(f) - 2*t(f)?
f**3
Suppose 0 = 3*l + x + 14, 2*l = l + x + 2. Let j(g) = 2*g + 1. Let s(m) = -m**2 - m + 4. Let q be s(3). Let z(p) = -3*p - 4 - 2*p - p + 1. Give l*z(k) + q*j(k).
2*k + 1
Let z(k) be the first derivative of -9*k**2/2 + 5*k + 1. Let x(n) be the third derivative of 7*n**4/12 - 4*n**3/3 + 2*n**2. What is -5*x(r) - 8*z(r)?
2*r
Let v(w) = -52*w**3 + 0 - 1 - w - 3*w**2 + 57*w**3. Let y(r) = r**2 + 5*r - 3. Let z be y(-6). Let d(c) = -6*c**3 + 4*c**2 + 2*c + 1. Calculate z*d(u) + 4*v(u).
2*u**3 + 2*u - 1
Let z(l) = -3*l + 5. Let o(k) = 4*k - 6. Calculate 6*o(u) + 7*z(u).
3*u - 1
Let h(n) = -3*n**2 + 7*n + 8. Let m(r) = -r**2 + r + 1. Determine h(j) - 6*m(j).
3*j**2 + j + 2
Let j(q) = q - 1. Let z(m) = 6*m - 9. Give -5*j(h) + z(h).
h - 4
Let z(g) be the second derivative of -g**4/6 - g**2 - g. Let a(h) = -2 + 3 - 2. Suppose -2*c - 10 = -7*c. Determine c*a(t) - z(t).
2*t**2
Let m be -1*(-4)/12*-3. Let h(i) = -i**3 + i - 1. Let t(c) = 5*c**3 - c**2 - 3*c + 3. What is m*t(j) - 3*h(j)?
-2*j**3 + j**2
Let t(d) be the first derivative of 1/2*d**2 + 2*d - 1. Let x(m) = -2*m - 3. Suppose -o - 5 = -2. Give o*t(l) - 2*x(l).
l
Let y(r) = 416*r**2 - 65*r + 65. Let t(l) = -13*l**2 + 2*l - 2. Determine -65*t(d) - 2*y(d).
13*d**2
Let k(t) be the second derivative of -7*t**4/12 + 5*t**3/6 - 2*t**2 + 4*t. Let l(f) = -8*f**2 + 6*f - 5. What is -7*k(c) + 6*l(c)?
c**2 + c - 2
Let u(l) = 3*l + 8. Let n(p) = -2*p**2 + 9*p + 27. Let g be n(7). Let h(i) = i + 3. Give g*h(b) + 3*u(b).
b
Let v(j) = -10*j - 10. Let q(c) = 1 - 2*c + 11*c - 8*c. What is -22*q(y) - 2*v(y)?
-2*y - 2
Let f(h) = -8*h**2 - 4*h - 7. Let i(j) = j**2 + 1. Let r(g) = f(g) + 4*i(g). Let n(z) = -9*z**2 - z - 7*z - z - 7. Give -2*n(p) + 5*r(p).
-2*p**2 - 2*p - 1
Let u(a) = -3*a + 2. Suppose 0*n - 20 = -5*n. Suppose d = -3*f - n, 22 = -4*d + f - 7. Suppose -1 = -y - 5. Let k(b) = 5*b - 4. Determine d*u(v) + y*k(v).
v + 2
Let i(b) = 2. Let m(c) = c**2 - c + 3. What is -5*i(x) + 2*m(x)?
2*x**2 - 2*x - 4
Let r(v) = -v**2 + 2 - 5 - 1 - 4*v. Let q(d) = 7*d + 2*d**2 + 0*d**2 + 5 + 2. Suppose 5 = -j, 4*j + 1 = -2*p - 5. What is p*r(k) + 4*q(k)?
k**2
Let k(r) = -2*r + 4. Let s = -73 + 70. Let t(y) = -2*y + 5. Calculate s*k(v) + 2*t(v).
2*v - 2
Let b(p) = -5*p**2 - 2*p - 2. Let m(v) = v**2 - v - 1. What is -2*b(w) + 4*m(w)?
14*w**2
Let p(q) = 6*q**2 - 7*q - 4. Let g(x) = 3*x**2 - 4*x - 2. Suppose 8*h - 2*h = 0. Suppose j + 4*j + 20 = h. Determine j*p(l) + 7*g(l).
-3*l**2 + 2
Let i(z) = 4*z. Let f(u) = 7*u - u + u - 4*u - 5. Let l(q) = -q + 1. Let k(n) = f(n) + 4*l(n). Determine i(t) + 2*k(t).
2*t - 2
Let g(m) = -m**2 + 1. Let r(a) = a**3 + 5*a**2 + 12*a - 5. Determine -5*g(q) - r(q).
-q**3 - 12*q
Let n(x) = -x - 6. Let i(k) = 6. Determine -6*i(o) - 6*n(o).
6*o
Let o(q) = q**2 + 7*q + 5. Let k(y) = 6*y + 4. Calculate -5*k(h) + 4*o(h).
4*h**2 - 2*h
Suppose -4*i + i + 3 = 0, -3*a - 4*i = -7. Let n(c) = 5*c**2 - 2. Suppose 9 + 4 = -5*p + 2*s, 4*s + 4 = 0. Let o(j) = j**2 - 1. Give a*n(h) + p*o(h).
2*h**2 + 1
Let u(o) = 11*o**2 + 5*o + 3. Let t(p) = 16*p**2 + 7*p + 4. Determine 5*t(m) - 7*u(m).
3*m**2 - 1
Let x(t) = t + 1. Let i(z) = 7*z + 28. Determine -i(n) + 28*x(n).
21*n
Let l(g) = 20*g**2 - 6*g - 2. Let q(u) = -13*u**2 + 4*u + 1. Let r(a) = -5*l(a) - 8*q(a). Let v(b) = 17*b**2 - 9*b + 9. Determine 9*r(x) - 2*v(x).
2*x**2
Let a(l) = 5*l**2 - 5*l + 5. Let o = 19 - 14. Suppose -5*m - 37 = -k - 5, -3*k + 16 = m. Let i = k - 3. Let s(t) = -6*t**2 + 6*t - 6. What is i*s(x) + o*a(x)?
x**2 - x + 1
Let z(s) = s + 1. Let x(j) = -j**2 + 48*j + 3. What is x(b) - 3*z(b)?
-b**2 + 45*b
Let c(v) = v**3 - 2*v**2 + 2*v + 2. Suppose f + 0 = -9. Let w = 1 + -3. Let q(k) = k**2 + 7*k**2 - 5*k**3 + k**2 - 9*k - 9. Determine f*c(j) + w*q(j).
j**3
Let o(k) = 11*k**2 + 9*k - 7. Let f(h) = -5*h**2 - 4*h + 3. Determine -9*f(p) - 4*o(p).
p**2 + 1
Let z(y) = 3*y + 29. Let n(c) = -c - 10. Calculate -17*n(k) - 6*z(k).
-k - 4
Let s(v) = 7*v + v - 9*v. Let p(j) = -2*j + 1. What is 2*p(i) - 7*s(i)?
3*i + 2
Let l(y) = 5*y. Let a(i) be the third derivative of i**4/8 - 11*i**2. Give -8*a(t) + 5*l(t).
t
Let m(d) = -10*d**2 + 5*d - 5. Let z(n) = 10*n**2 - 4*n + 4. What is -4*m(q) - 5*z(q)?
-10*q**2
Let y(w) = -w**3 - w**2 - w. Let u(h) = -15*h**3 - 13*h**2 - 13*h. Calculate -6*u(d) + 78*y(d).
12*d**3
Let l(j) = j. Let a(z) = -16*z**2 - 8*z + 11. Let t(q) = a(q) - 3*l(q). Let s(o) = 3*o**2 + 2*o - 2. Determine 11*s(d) + 2*t(d).
d**2
Let j(s) = 2*s - 3. Let w(c) = 2*c - 3. Determine -4*j(i) + 5*w(i).
2*i - 3
Let f(j) be the first derivative of -9*j + 1 + 7/2*j**2. Let c(x) = 11*x - 14. Let w(b) = b**3 + 4*b**2 + b + 2. Let s be w(-3). Determine s*f(i) - 5*c(i).
i - 2
Let i(b) = b. Let p(v) = 2*v. Let t(y) = 4*i(y) - p(y). Let k(g) = g**2 - 9*g. Calculate 2*k(c) + 9*t(c).
2*c**2
Let m(b) = 2*b**3 - 3*b**2 + 3*b - 3. Let u(f) = 2*f**3 - 2*f**2 + 2*f - 2. Give 2*m(s) - 3*u(s).
-2*s**3
Let d(l) = 4*l - 1. Let f = -1 + 3. Suppose -4*x + 2*x + f = 0. Let v(z) = 6*z + 2*z - x - 3*z. Calculate -4*d(p) + 3*v(p).
-p + 1
Let l(u) = 2*u - 3. Let p(x) be the second derivative of 0 - 3*x - 2*x**2 + 1/2*x**3. Determine 4*l(n) - 3*p(n).
-n
Let s(o) = -2*o**2 - 2*o. Let y = -9 - -6. Let u(b) = -b**2 - b. Determine y*u(t) + 2*s(t).
-t**2 - t
Let n(w) = -11*w + 9. Let b(a) = -6*a + 5. Give 7*b(d) - 4*n(d).
2*d - 1
Let d(x) = 16*x**3 - 2*x**2 + 6*x - 1. Let w(t) = 17*t**3 - 2*t**2 + 5*t - 1. Give 5*d(m) - 6*w(m).
-22*m**3 + 2*m**2 + 1
Let j(y) be the first derivative of -y**2/2 + y + 32. Let r(u) = -6*u + 7. Calculate 14*j(o) - 2*r(o).
-2*o
Suppose -k + 105 = 5*l, k - 2*k + 42 = 2*l. Let i(p) = 15*p**3 - 21*p**2 + 21. Let q(m) = 3*m**3 - 4*m**2 + 4. Give l*q(g) - 4*i(g).
3*g**