 7*j**2 + 7. Let r(o) = o**2 + 6. Let m be r(0). Let l(k) = -4*k**3 + 3*k**2 + m*k + 2*k - 3 - 8*k. Determine -14*l(f) - 6*s(f).
2*f**3
Let c(b) = 6*b**3 - b. Let y be c(-1). Let m(p) = -7*p**2 + 5*p. Let d(f) = 8*f - 2*f - 5*f**2 - 3*f**2. What is y*d(l) + 6*m(l)?
-2*l**2
Let u(d) = -d + 1. Let z(n) = 5 - 20 + 10. What is -4*u(s) - z(s)?
4*s + 1
Let z(w) = w**2 - w - 1. Let m(c) = -11*c**2 + 4*c + 3. Determine -m(g) - 4*z(g).
7*g**2 + 1
Suppose -2 = w + 12. Let g = w - 7. Let u(x) = -12*x**2 - 21*x. Let n(t) = -3*t**2 - 5*t. Determine g*n(c) + 5*u(c).
3*c**2
Let i(t) = t - 1. Let l(n) = 5*n - 14. What is 6*i(u) - l(u)?
u + 8
Let p = 7 - 5. Suppose -3*v - 30 = p*v. Let r(h) = -7*h**2 + 6*h + 6. Let l(q) = -6*q**2 + 5*q + 5. What is v*l(a) + 5*r(a)?
a**2
Let k(h) = -2*h**2 - 4. Let g(z) be the third derivative of z**5/30 + z**3/2 + 9*z**2. Calculate 4*g(r) + 3*k(r).
2*r**2
Let b(j) = -3*j**2 + 5*j + 5. Let y(a) = 1 + a**2 + 1 + 0. Let s be y(-2). Let z(q) = -4*q**2 + 6*q + 6. Give s*b(f) - 5*z(f).
2*f**2
Let a(t) = -t - 3. Let c(z) = -2*z - 3. Give 3*a(x) - 2*c(x).
x - 3
Let o(g) be the second derivative of -3*g**5/5 - 11*g**4/12 + 5*g**3/3 - g**2/2 + 3*g. Let k(d) = -d**3 - d**2 + d. Determine -22*k(z) + 2*o(z).
-2*z**3 - 2*z - 2
Let f(x) be the second derivative of 3*x**5/10 - 2*x**4/3 + 4*x**3/3 + 4*x**2 - x. Let z(d) = 4*d**3 - 5*d**2 + 5*d + 5. Give 5*f(u) - 8*z(u).
-2*u**3
Let c = 0 + 5. Suppose o - c - 1 = 0. Let z(y) be the first derivative of 11*y**2/2 + 11*y - 1. Let j(p) = -4*p - 4. Calculate o*z(s) + 17*j(s).
-2*s - 2
Let f(w) = -6*w + 7. Let k(q) be the first derivative of 5*q**2/2 - 6*q - 25. Determine -6*f(j) - 7*k(j).
j
Let l(b) = -5*b**2 + b + 31. Let m(o) = -o**2 + 6. Calculate 2*l(y) - 11*m(y).
y**2 + 2*y - 4
Let a(v) = -v**3 + v**2 + 4*v + 2. Let f(q) = 4*q**3 - 2*q**2 - 13*q - 6. Calculate 7*a(m) + 2*f(m).
m**3 + 3*m**2 + 2*m + 2
Let o(q) = 4*q + 3. Let b(z) = -7*z - 5. Let m = 0 - -5. Let h(k) = -k**3 + 2*k**2 + 2*k - 1. Let r be h(2). What is m*o(d) + r*b(d)?
-d
Let w(i) = 9*i - 6. Let n(o) = -26*o + 18. What is 6*n(d) + 17*w(d)?
-3*d + 6
Let f(v) = v**2 + 2*v + 2. Suppose 2*n + 26 = -5*z, 20 = -5*n + z - 18. Let h(t) = 2*t**2 + 5*t + 5. Calculate n*f(d) + 3*h(d).
-2*d**2 - d - 1
Let r(i) = -5*i**3 + 2*i**2 - 2. Let z(x) = 16*x**3 - 7*x**2 - x + 6. Give 7*r(d) + 2*z(d).
-3*d**3 - 2*d - 2
Let c(j) = -j**2 - j - 6. Let u(f) = -f**2 - f - 5. What is -4*c(l) + 5*u(l)?
-l**2 - l - 1
Let t(p) = -3*p - 2. Let j(u) be the second derivative of -7*u**3/2 - 15*u**2/2 - 5*u. Give -2*j(y) + 15*t(y).
-3*y
Let i(w) = -46*w + 5. Let k(p) = -23*p + 2. Calculate -4*i(v) + 9*k(v).
-23*v - 2
Let y(k) = -2*k - 5. Let d = 3 - -4. Suppose 3*c - 5*s = -7, -5*c - 2*s = -3*s - 25. Let x(v) = -v + 6 - 2*v + 5*v. Give c*x(b) + d*y(b).
-2*b + 1
Let j(k) = 8*k**2 - k - 1. Let r(o) = -1. Give -j(f) + 2*r(f).
-8*f**2 + f - 1
Let s(j) = 455*j**2 + 143*j - 143. Let h(m) = -19*m**2 - 6*m + 6. Determine -143*h(q) - 6*s(q).
-13*q**2
Let n(k) = -7*k - 3. Suppose 3*b - 5*s + 103 = -b, -2*b = 3*s + 79. Let c(m) = -76*m - 32. Give b*n(w) + 3*c(w).
-4*w
Let c(i) = -5*i + 2. Let r be (-35)/(-15) - (-2)/(-6). Let t(s) = -5 + r + 2*s + 7*s. Determine 7*c(g) + 4*t(g).
g + 2
Suppose -5*i = -2*i + 18. Let v(b) = b - 1. Let z(t) be the first derivative of -7*t**2/2 + 5*t + 85. Determine i*v(a) - z(a).
a + 1
Let w(s) = 4*s**2 + 5*s - 4. Let a(t) = -6*t**2 - 8*t + 6. Let b(k) = k**2 - 4*k - 4. Let h be b(6). Suppose -d + 30 = 5*d. Calculate d*a(m) + h*w(m).
2*m**2 - 2
Let a(i) = -i. Let q(f) = 16*f + 12. What is -20*a(z) - q(z)?
4*z - 12
Let o(c) = 2*c + 2. Let g(a) = -a + 1. Determine 4*g(i) + o(i).
-2*i + 6
Let k(i) = -12*i - 9. Let x(t) = -t - 1. Determine k(v) - 6*x(v).
-6*v - 3
Let t(l) = -l**2 + l - 1. Let o(w) = -9*w**2 - 2. Give o(j) - 2*t(j).
-7*j**2 - 2*j
Let u(d) = -19*d + 21. Let j(f) = 4*f - 4. Determine -11*j(c) - 2*u(c).
-6*c + 2
Let p(s) = -s**3 + 5*s**2. Let y(x) = -2*x**2. Calculate -2*p(w) - 5*y(w).
2*w**3
Let k(y) = 2*y**2 - 4*y. Let b(u) = -u**2 + 3*u. Let p = 9 - 5. Determine p*b(z) + 3*k(z).
2*z**2
Let d(f) = -f + 13. Let o(w) = -3*w + 38. What is 8*d(y) - 3*o(y)?
y - 10
Let v(k) be the third derivative of k**6/120 - k**5/60 + k**4/24 - k**3/6 + 13*k**2. Let q(x) = -2*x**2 - 2*x - 2. Give -q(w) + 2*v(w).
2*w**3 + 4*w
Let i(d) = 13*d**3 - 4*d**2 + 17. Let v(b) = 6*b**3 - 2*b**2 + 8. What is 2*i(m) - 5*v(m)?
-4*m**3 + 2*m**2 - 6
Let s(t) = 3*t + 4. Let f(r) = r**2 - 6*r - 6. Let l be f(9). Let a(n) be the third derivative of -5*n**4/8 - 7*n**3/2 - n**2. Determine l*s(u) + 4*a(u).
3*u
Let f(w) be the third derivative of -w**4/24 + w**3/6 + 21*w**2. Let p(n) = -n**2 + 5*n - 1. What is 3*f(j) + p(j)?
-j**2 + 2*j + 2
Let k(g) = 2*g**2 + 2*g. Let b(f) be the first derivative of f**4/4 - f**3 - 3*f**2/2 - 13. What is -2*b(a) - 3*k(a)?
-2*a**3
Let y(t) = 13*t + 4. Let m(u) = -468*u - 143. Calculate 4*m(v) + 143*y(v).
-13*v
Let v(u) = -u**2 - 1. Let h(w) = 4*w**2 + 2*w + 3. Determine h(f) + 5*v(f).
-f**2 + 2*f - 2
Let s(u) = -u - 1. Suppose -p = -5*p + 4. Let b(l) = l + 4. Determine p*b(v) + 4*s(v).
-3*v
Let o(m) = 33 + 6*m**2 + 18*m**2 - 33*m - 5*m**2 + 5*m**2. Let v(q) = -3*q**2 + 4*q - 4. Determine 4*o(t) + 33*v(t).
-3*t**2
Suppose -4*o + 2*o = 0. Let k(p) be the second derivative of -p + 0*p**4 + 0*p**3 + 5/2*p**2 + 1/10*p**5 + o. Let t(u) = -2*u**3 - 4. What is -4*k(r) - 5*t(r)?
2*r**3
Let r(n) = 2. Let j(x) = -x + 5. Let w = 7 + -5. Suppose -w*b + 4*b - 4 = 0. Give b*j(d) - 5*r(d).
-2*d
Let h(y) = y**3 + 2*y**2. Let j(w) = -5*w**3 - 11*w**2. Let t = 29 + -33. Calculate t*j(f) - 22*h(f).
-2*f**3
Let z(y) = -y + 1. Let g(l) = -7*l**2 - l + 3. Calculate g(f) - 2*z(f).
-7*f**2 + f + 1
Let q(g) = -95*g**2 + 19*g - 19. Let o(y) = -16*y**2 + 3*y - 3. Determine 19*o(j) - 3*q(j).
-19*j**2
Let f(r) = r**2 + r - 1. Let n be -1*1 - (-16 + 14). Let v(i) = 2*i**3 + i**2 + 2*i - 2. Calculate n*v(h) - 2*f(h).
2*h**3 - h**2
Let l(o) = 8*o + 3. Let h(v) = 2*v + 1. Determine -9*h(y) + 2*l(y).
-2*y - 3
Let g(z) = -z - 1. Let o(r) = -3*r - 10. Calculate -6*g(s) + o(s).
3*s - 4
Let s(t) = t**2 - 10*t - 19. Let u be s(11). Let a(g) = g**2 - 5*g + 5. Let z(p) = 2*p**2 - 8*p + 8. Calculate u*a(x) + 5*z(x).
2*x**2
Let i(j) = j + 1. Let t(r) = -6*r - 6. Let q = 15 + -1. Suppose 2*g - 3*g + q = 3*l, 3*g = 4*l - 10. Suppose -f - g*f = -9. Determine f*t(c) + 16*i(c).
-2*c - 2
Let b(y) = -48*y**3 - 56. Let l(u) = -u**3 - 1. Give -2*b(c) + 112*l(c).
-16*c**3
Let y(f) = f**2 + 2*f + 2. Let h(t) = 3*t**2 - 2*t**2 + 2 + t - 5*t. Let x be h(4). Let k(m) = -6*m**x - 5*m - 6*m - 3 - 8. Calculate -2*k(s) - 11*y(s).
s**2
Let f(s) = -s - 8. Let g(i) be the second derivative of 3*i + 17/2*i**2 + 1/3*i**3 + 0. What is -13*f(z) - 6*g(z)?
z + 2
Let s = -11 + 7. Let q = 5 + s. Let k(g) = -5*g**2 + 2*g - 1. Let r(t) = 7*t**2 - 18*t**2 + 1 + 12*t**2. Determine q*k(f) + 3*r(f).
-2*f**2 + 2*f + 2
Let k be (-42)/(-4)*5/((-15)/2). Suppose 2*v - 5 = 7. Let h(t) = -4 + 5*t**2 - 1 + 7*t + v*t**2. Let n(q) = -6*q**2 - 4*q + 3. What is k*n(y) - 4*h(y)?
-2*y**2 - 1
Let c(m) = 4*m. Let g(j) = 4*j. Calculate 5*c(r) - 4*g(r).
4*r
Let a(k) = 4*k. Let u be ((-36)/(-21))/((-2)/14). Let l = 17 + u. Let t(v) = 9*v. Let n(q) = -198*q. Let j(m) = -2*n(m) - 45*t(m). Give l*a(r) + 2*j(r).
2*r
Let r = -5 + 15. Let m(k) be the first derivative of -k**4 - 5*k**3/3 - k**2/2 - 4*k - 4. Let h(z) = -z**3 - z**2 - 1. Calculate r*h(y) - 2*m(y).
-2*y**3 + 2*y - 2
Let g(c) = 2*c + 3. Suppose 5*j - 13 = -3. Let y(z) = z + 2. Determine j*g(w) - 3*y(w).
w
Let a(p) = p. Let y(d) = -2*d + 1. Suppose 4*k = 4*w - 24, k = 2*k + 5*w - 18. Give k*y(t) - 2*a(t).
2*t - 2
Let l(h) = -5*h - 9. Let p(u) = 3*u + 5. What is -6*l(t) - 11*p(t)?
-3*t - 1
Let k(r) = r**2 - 7*r + 4. Let o(h) be the second derivative of h**4/24 - h**3/6 - 5*h**2/2 + 6*h. Let z(s) be the first derivative of o(s). Give k(c) + 4*z(c).
c**2 - 3*c
Let m(u) = 988*u + 209. Let y(g) = -19*g - 4. What is 4*m(a) + 209*y(a)?
-19*a
Let r(z) = -3*z - 11. Let a(i) = -2*i - 10. What is 5*a(l) - 4*r(l)?
2*l - 6
Let a(i) = 8*i**2 - 11*i - 5. Let o(t) = -23*t**2 + 32*t + 14. Give -17*a(l) - 6*o(l).
2*l**2 - 5*l + 1
Let z(i) = -8*i - 8. Let m = -10 + 10. Let b be (-2)/(-2 + m) + -8. Le