+ 8. Let y(i) be the first derivative of -i**2 + 15*i + 1. Give s*h(d) + w*y(d).
-d + 2
Let m(c) be the third derivative of 5*c**4/8 + c**3/3 - 2*c**2 - c. Let a(o) = 5*o + 1. Determine -8*a(p) + 3*m(p).
5*p - 2
Suppose t - 5*k - 26 = -0*t, -4*t - k = 1. Let l(q) = -2*q**2 + 1. Let s(w) = w**2 - 1. Let g(m) = l(m) + s(m). Let f(b) = -b + 1. Calculate t*f(v) - g(v).
v**2 - v + 1
Let w(p) = -p**2 - 8*p + 6. Let n be w(-8). Let c = 5 - n. Let y(t) = -t**2 - t + 1. Let m(v) = -2*v**2 - v + 1. Calculate c*y(j) + m(j).
-j**2
Let c(l) = -8*l**3 + 7*l**2 + 7*l - 10. Let y(a) = -7*a**3 + 6*a**2 + 6*a - 10. Give -6*c(o) + 7*y(o).
-o**3 - 10
Let j(o) = -11*o**2 + 21*o - 1. Let f(d) = 7*d**2 - 14*d + 1. Let v(r) = -8*f(r) - 5*j(r). Let x(n) = n**2 - 6*n + 2. What is -4*v(i) - 5*x(i)?
-i**2 + 2*i + 2
Let o(m) = -2*m**2 + 3*m + 5. Let v(q) = q**2 - 4*q - 4. Give -3*o(y) - 4*v(y).
2*y**2 + 7*y + 1
Let r(f) = f - 1. Let p(o) = -42*o - 4. Determine p(w) - 5*r(w).
-47*w + 1
Let m(u) = -2*u + u**2 + 1 - 2 + u. Let h(o) = -2*o**2 + o - 1. Let q be ((-10)/(-15))/(4/6)*1. Calculate q*m(g) + h(g).
-g**2 - 2
Let c(w) = 0*w**2 + 4*w + 2*w**3 + 2*w**3 - 2*w**2 - 3. Let n = -132 + 135. Let y(i) = 7*i**3 - 3*i**2 + 7*i - 5. What is n*y(t) - 5*c(t)?
t**3 + t**2 + t
Let b(j) = 6*j + 5. Let l(x) = -17*x - 16. Calculate 11*b(w) + 4*l(w).
-2*w - 9
Let w(h) = -38*h - 38. Let r(t) = t**3 + t + 1. Determine -38*r(k) - w(k).
-38*k**3
Let p(g) = g**2 + g. Let z(r) = -6*r**2 - 18*r. Give -15*p(f) - z(f).
-9*f**2 + 3*f
Let d(x) = -4*x - 5. Let h(q) = -1. Let u(g) = -d(g) + 2*h(g). Suppose v = 10 - 1. Suppose -v*n = -4*n - 25. Let y(t) = 7*t + 5. Determine n*u(a) - 3*y(a).
-a
Let x(h) = -2*h**2 - 1. Let z(i) = -i**2 - 1. Calculate 4*x(a) - 5*z(a).
-3*a**2 + 1
Let y(c) = 4*c**2 + 10*c - 7. Let k = 2 + -4. Let o(m) = 7*m**2 - 15*m + 4. Let t(i) = -3*i**2 + 7*i - 2. Let v(h) = 4*o(h) + 9*t(h). Give k*y(r) + 7*v(r).
-r**2 + r
Let t(a) = 5*a**2 - 4. Suppose -6*b = -3*b - 12. Let u(o) = -4*o**2 + 3. Determine b*u(g) + 3*t(g).
-g**2
Let f(y) = -43*y + 7. Let j(k) = 22*k - 3. Determine 6*f(c) + 14*j(c).
50*c
Let m(c) = c + 2. Let q(o) = 2 - 3 - 1 + 1. Let b(x) = 1. Let n(a) = 2*b(a) + q(a). Suppose 3*z = z - 4. Determine z*n(f) + m(f).
f
Let d(v) = -v**2 + 5*v + 18. Let o(l) = l. Give -d(y) + 5*o(y).
y**2 - 18
Let h(p) = p**2 - p + 1. Let i(z) = 6*z**3 - 12*z**2 + 12*z - 12. Calculate -12*h(m) - i(m).
-6*m**3
Let x(r) = -71*r. Let y(u) = -142*u. Give -11*x(b) + 6*y(b).
-71*b
Let u(b) = 2*b**2 - 3*b. Suppose -w + 4*w = 0. Suppose w = -2*q - 3*l + 8, q + 2*q = -5*l + 14. Let a(k) = k**2 - k. Calculate q*u(x) + 6*a(x).
2*x**2
Let l = -92 - -93. Let o(i) = i**2. Let s(c) = -c**2 - 2*c - 1. Give l*s(h) + 2*o(h).
h**2 - 2*h - 1
Let v(b) = -9*b**3. Let c(y) = 36*y**3. Give 6*c(a) + 26*v(a).
-18*a**3
Let u(o) = -2*o**3 + 2*o - 9. Let y(z) = z**3 - z + 3. Calculate -3*u(l) - 8*y(l).
-2*l**3 + 2*l + 3
Let l(y) = -8*y**3 - 9*y**2 + 6. Let a be (1/3)/((-21)/(-378)). Let x(n) = n**3 + n**2 - 1. What is a*x(s) + l(s)?
-2*s**3 - 3*s**2
Let q(t) = -3*t + 2. Let s(x) be the third derivative of -x**4/24 + x**3/6 - 22*x**2. Give -3*q(r) + 7*s(r).
2*r + 1
Let t(o) = -336*o + 129. Let a(r) = -21*r + 8. Let y be (2/4)/((-3)/(-12)). Let b(g) = y*t(g) - 33*a(g). Let d(n) = -4*n + 1. Give -2*b(k) - 11*d(k).
2*k + 1
Let o(c) = -19*c**3 - 6*c**2 - 2*c - 6. Let g(l) = 38*l**3 + 13*l**2 + 4*l + 13. What is -6*g(x) - 13*o(x)?
19*x**3 + 2*x
Let x(o) = 46*o**3 - 16*o**2 - 16*o - 16. Let l(t) be the first derivative of -9*t**4/4 + t**3 + 3*t**2/2 + 3*t + 50. Give 16*l(i) + 3*x(i).
-6*i**3
Let k(f) = 7*f**2 - 2. Let h(n) = 20*n**2 - 5. Let b(c) = -4*h(c) + 11*k(c). Let q(z) = -48*z**2 - 33. Give 33*b(i) - 2*q(i).
-3*i**2
Let c(w) = 12*w - 9. Suppose 5*g = 2*y - 3*y - 46, 1 = -y. Let u(o) = 3*o - 2. Determine g*u(n) + 2*c(n).
-3*n
Let l(p) = 7*p**2 + 5*p - 1. Let c(h) = 4*h**2 + 3*h - 1. Suppose 15 = 5*g - 0*g. Calculate g*l(k) - 5*c(k).
k**2 + 2
Let l(f) = 385*f**3 - 49*f**2 + 49*f - 49. Let u(x) = 16*x**3 - 2*x**2 + 2*x - 2. Give 2*l(k) - 49*u(k).
-14*k**3
Let t(r) = 7*r**2 - 5*r + 7. Let k(n) = 2*n**2 - 2*n + 1. Let b(h) = -h**2 + h. Let f(x) = -b(x) - k(x). What is -5*f(y) - t(y)?
-2*y**2 - 2
Let o(p) = 3*p**2 + p + 3. Let z(v) = -4*v**2 - 2*v - 3. Determine -3*o(s) - 2*z(s).
-s**2 + s - 3
Let z(b) = 10*b**2 - b + 5. Let f(j) = 2*j**2 + 1. Suppose 0 = -3*m - w - 34 + 1, -3*w = 0. Determine m*f(p) + 2*z(p).
-2*p**2 - 2*p - 1
Let r(g) = 9*g**2 - 3*g - 11. Let u(i) be the second derivative of -5*i**4/12 + i**3/3 + 3*i**2 + 2*i. Give -4*r(m) - 7*u(m).
-m**2 - 2*m + 2
Let t(w) be the third derivative of -w**4/12 + 2*w**3/3 + 7*w**2. Let f(k) = -2*k + 3. What is -3*f(s) + 2*t(s)?
2*s - 1
Let h(f) = -f - 6. Let w(y) be the first derivative of -y**2/2 - 5*y - 6. Calculate 5*h(u) - 6*w(u).
u
Let p = 12 - 10. Suppose -2*u - p = 2*k, -3*k - 3 = -2*k. Let t(b) = -2*b + 2*b**2 + b**2 - b**u - 3*b - 8. Let a(m) = m**2 - 3*m - 5. What is 8*a(s) - 5*t(s)?
-2*s**2 + s
Let k(z) = -8*z**2 - 13*z + 11. Let b(t) = t**2 + t - 1. What is 18*b(n) + 2*k(n)?
2*n**2 - 8*n + 4
Let r(m) = -m - 1. Let j(n) be the first derivative of -n + 22. Calculate j(a) - r(a).
a
Let b(h) = -h**2 + 1. Let m(p) = -2*p**3 + 4*p**2 - 9*p - 4. What is -4*b(a) - m(a)?
2*a**3 + 9*a
Let r(f) = -2*f. Let g(q) be the second derivative of -5*q**3/3 - q**2/2 - 5*q. Determine -2*g(t) + 11*r(t).
-2*t + 2
Let m(t) = 3*t - 2. Let o(a) = -2*a + 1 + 3 - 2. What is -4*m(b) - 5*o(b)?
-2*b - 2
Let x(q) = -8*q**3 + 7*q**2 + 2. Let l(i) = i**3 - i**2. Calculate -6*l(p) - x(p).
2*p**3 - p**2 - 2
Let d(i) = 2*i. Let l(x) = -x**2 + 10*x + 2. Let o be l(10). Let f(c) = -1. Give o*f(k) + d(k).
2*k - 2
Let w(x) = 2*x**2 - 4*x + 2. Let i(c) = -4*c**2 + 7*c - 3. Let g = 31 + -38. Calculate g*w(j) - 4*i(j).
2*j**2 - 2
Let n(t) = -t + 3. Let q be n(-2). Let z(m) = m**2 + 3*m + 3. Let i(k) = 3*k**2 + 5*k + 5. Determine q*z(b) - 3*i(b).
-4*b**2
Let o(p) = -7*p**2 - 7*p - 7. Suppose 0 = 5*n - 5, 4 - 2 = -v + 5*n. Let y(f) = -f**2 + 3*f + 2*f + 4*f**2 - 2*f + v. Calculate 4*o(u) + 10*y(u).
2*u**2 + 2*u + 2
Let f(p) = -36*p + 2. Let a(g) = 37*g - 2. What is 4*a(c) + 3*f(c)?
40*c - 2
Let k(o) = -4*o - 1. Let l be (-3)/6 - 2/4. Let w be -4 + 3 - (l - 1). Let s be (2 - (0 + -1))/w. Let f(b) = -7*b - 2. Calculate s*f(x) - 5*k(x).
-x - 1
Let n(k) = 34*k - 3. Let y(x) = 2821*x - 248. Calculate 248*n(t) - 3*y(t).
-31*t
Let p = -12 - -6. Let d be (p/(-5))/(2/5). Let n(z) = -5*z - 6. Let a(x) = -4*x - 5. Let s(i) = 6*a(i) - 5*n(i). Let w(h) = h. Determine d*w(l) - 2*s(l).
l
Let q(t) = 2*t**3 + 6*t**2 + 7*t + 11. Suppose 2*k = 5*k + 33. Let u(z) = z**3 + 3*z**2 + 4*z + 6. Determine k*u(b) + 6*q(b).
b**3 + 3*b**2 - 2*b
Let q(p) = -44*p - 3. Let b(c) = 87*c + 7. Calculate -2*b(u) - 5*q(u).
46*u + 1
Let d(m) = m - 1. Let o(j) be the first derivative of 5*j**2/2 - 8*j + 42. Suppose 18 = -3*f + 4*b - 0, 2*f - 5*b + 12 = 0. Determine f*d(s) + o(s).
-s - 2
Let g(x) = -9*x - 1. Let d be g(-1). Let c(n) = -8*n - 3. Let w(r) = -25*r - 10. Let p(o) = -8*c(o) + 3*w(o). Let i(l) = -7*l - 4. Determine d*i(a) - 5*p(a).
-a - 2
Let u(h) = h. Let s(q) be the third derivative of q**4/8 + q**3/6 + q**2. Let t(o) = o**3 - 6*o**2 + 12*o - 5. Let c be t(3). Calculate c*u(r) - s(r).
r - 1
Let u(a) = -7*a - 3. Let c(h) = 0 + 3*h - 2 + 2 + 1. Give -10*c(w) - 4*u(w).
-2*w + 2
Let p(b) = 4*b**3 - 5*b**2 + 4*b - 5. Let m(d) = -d**3 + 1 + d**2 - 2*d**3 - d + 2*d**3. Give -5*m(c) - p(c).
c**3 + c
Let t(x) be the first derivative of -5 + 3*x**2 - 3*x**3 + 2*x**2 + 5*x**3 + 2*x**3. Let l(r) = -r**2 - r. Give -10*l(u) - t(u).
-2*u**2
Let y = -3 - -8. Let t(q) = -q**2 + 4*q + 5. Let k be t(y). Suppose k*c + 3 = c. Let o(z) = -4*z - 1. Let b(f) = f. Give c*b(g) + o(g).
-g - 1
Suppose 0 = 3*a - 4*v + 2*v - 13, -a = -4*v + 9. Let i(p) = -2*p + 2. Let f(u) = 15*u - 15. Let q(x) = x - 1. Let n(r) = 2*f(r) - 33*q(r). Give a*i(h) - 5*n(h).
h - 1
Let i(c) = 3*c**2 + c. Let k(t) = 4*t**2 + 2*t. What is -6*i(s) + 5*k(s)?
2*s**2 + 4*s
Let u(w) = -2*w**3 - w**3 + 2 - w**2 + 5*w**3 - w**3. Let c(b) = -3*b**3 + 2*b**2 - 5. Calculate 2*c(p) + 5*u(p).
-p**3 - p**2
Let g(l) = -6*l**3 + 5*l**2 + l - 6. Let x = -5 + 6. Let r be (2 - x)/(2 + -1). Let h(k) = -6